whats the dimensions of a rectangle with area 33cm and perimeter 23cm

Answers

Answer 1

Answer:

5.5 by 6cm

Step-by-step explanation:

P=2x + 2y = 23

x+y= 11.5

y= 11.5 - x

x (11.5-x) =33

11.5x - x^2 = 33

( multiply by 2 to get rid of the decimal?)

23x -2x^2=66

23x-2x^2+66=0

(x-6)(2x - 11) = 0

sub. 6 into y=11.5-x=11.5-6=5.5

sub. 5.5, 5.5=11.5-x, x=11.5 - 5.5= 6

Therefore the dimensions of the rectangle are 6cm by 5.5cm.

hope u get an understanding from this!


Related Questions

Can somebody help meeeeeeee

Can somebody help meeeeeeee

Answers

Answer:

C is the answer

Step-by-step explanation:

Answer:

It's C

Step-by-step explanation:

The table shows three unique functions.
Which statements can be used to compare the functions?
Select two options.
1
X
4
-3
-2
-1
Only f(x) has an x-intercept.
f(x) g(x) h(x)
-19 8
0 -12 -6
-1 -7 4
-2 4 ---2
-2 4 .
Og(x) has liic yrealesi maximum.
1
All three functions have a y-intercept.
All three functions have the same range values.
All three functions have the same domain values.

The table shows three unique functions.Which statements can be used to compare the functions?Select two

Answers

Answer:

Only f(x) has an x-intercept.All three functions have the same domain values.

Step-by-step explanation:

We assume that the table represents the complete definitions of the functions of interest.

An x-intercept is a point where the y-value is 0. Only f(x) includes such a point: (-3, 0).

A y-intercept is a point where the x-value is 0. x=0 is not part of the domain of any of these functions, so there are no y-intercepts.

The maximum values of these functions are ...

f(x): 1g(x): -4h(x): 2

so h(x) has the greatest maximum value.

The range of each function is the list of its table values. No two functions have the same range.

The domain of each function is the set of x-values for which it is defined. All of these functions have the same domain. That is, they are all defined for all of the x-values listed.

Of the descriptors offered, the two that apply are ...

Only f(x) has an x-intercept.All three functions have the same domain values.

Answer:

A and E

Step-by-step explanation:

44+32+32+40= ( im lowkey lazy atm so thanks

Answers

Answer:

148

Step-by-step explanation:

Graph 1: Please help me sketch the graph of this equation. Please include:

1. the maximum and minimum
2. the midline
3. the period and rate constant
4. formula for the function
5. label the parts​

Graph 1: Please help me sketch the graph of this equation. Please include:1. the maximum and minimum2.

Answers

Answer:  see answers below

Step-by-step explanation:

y = A cos (Bx - C) + D

A is the amplitudePeriod = 2π/B   →   B = 2π/PeriodPhase shift = C/BD is the vertical shift (aka midline)

Given: A = -3, B = π/20, C = 0, D = 5

1) midline (D) ± amplitude (A) = Max & Min

  Max: 5 + 3 = 8

  Min: 5 - 3 = 2

2) Midline (D) is given as 5

3) Period = 2π/B  = 2π/(π/20) = 40

4) Formula is given as: y = -3 cos (π/20)x + 5

5) change the coordinates of y = cos (x) and  as follows:

x-value: add C and divide by B  y-value: multiply by A and add D

Note that A = -3, B = π/20, C = 0, D = 5

\(\begin{array}{c|ccc|cl}\underline{\qquad x\qquad}&\underline{\qquad y\qquad}&&\underline{\quad (x+C)/ B\quad}&\underline{\quad Ay+D\quad}\\0&1&&0&2&minimum\\\pi/2&0&&10&5&midline\\\pi&-1&&20&8&maximum\\3\pi/2&0&&30&5&midline\\2\pi&1&&40&2&minimum\\\end{array}\)

Graph 1: Please help me sketch the graph of this equation. Please include:1. the maximum and minimum2.

The second term of a sequence is 12 and the common ratio is 2. Which equation gives the nth term of the sequence?

The second term of a sequence is 12 and the common ratio is 2. Which equation gives the nth term of the

Answers

Answer:

        The last:  \(\bold{f(x) = 6(2)^{x-1}}\)

Step-by-step explanation:

Its a geometric sequence: aₙ = a₁ rⁿ⁻¹

f(x) = aₙ

a₁ = a₂÷r = 12÷2 = 6

r = 2

x = n

Therefore:

               \(f(x) = 6(2)^{x-1}\)

Find WX.
Write your answer as an integer or as a decimal rounded to the nearest tenth.

Find WX.Write your answer as an integer or as a decimal rounded to the nearest tenth.

Answers

The value of the length of side WX is 5. 04

What are trigonometric identities?

Trigonometric identities are simply described as equalities of a function involving trigonometry functions and asserts true for all the values of variables given in the equation.

There are various different trigonometric identities involving the side length as well as the angle of a triangle. These identities are;

secant sinecosinetangentcosecantcotangent

Using the sine identity, we have

sin 46 = WX/7

cross multiply

WX= 7sin 46

find the value and multiply

WX = 5. 04

Learn about trigonometric identities at: https://brainly.com/question/7331447

#SPJ1

Stacy likes to do aerobics 10 hours a week to stay in shape. She tracks the amount of time she does aerobics each week relative to her goal.The table shows the data for the last five weeks.Week12345Aerobics time (hours)2.8−21340−3What is the average aerobics time per week for Stacy relative to her goal number of hours?Drag a value to the box to complete the statement.Relative to Stacy's goal, her average aerobics time over the last five weeks is Response area hours.

Answers

Answer:

-0.45

Step-by-step explanation:

oof

Relative to Stacy's goal, her average aerobics time over the last five weeks will be 0.09.

What is the average rate change?

It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.

Stacy likes to do heart-stimulating exercises 10 hours every week to remain in shape. She tracks how much time she does heart-stimulating exercise every week compared with her goal. The table shows the information throughout the previous five weeks.

The table is given below.

Week                                          1              2            3              4            5

Aerobics time (hours)              2.8          −2           1 ³/₄          0           −3

Then relative to Stacy's goal, her average aerobics time over the last five weeks will be given as

⇒ (2.8 − 2 + 1 ³/₄ + 0 − 3) / 5

⇒ (0.45) / 5

⇒ 0.09

Relative to Stacy's goal, her average aerobics time over the last five weeks will be 0.09.

More about the average rate change link is given below.

https://brainly.com/question/28744270

#SPJ5

What is the contrapositive of the following statement? if a triangle has three congruent angles, then it is an equiangular triangle.

Answers

If a triangle is equilateral, then it has three congruent angles.

Contrapositive :

In logic and mathematics, contraposition refers to the inference of going from a conditional statement into its logically equivalent contrapositive, and an associated proof method known as proof by contraposition. The contrapositive of a statement has its antecedent and consequent inverted and flipped.

Conditional statement : P → Q .

In formulas the contrapositive of P→ Q is ¬ Q → ¬P.

If P, Then Q. — If not Q, Then not P. "If it is raining, then I wear my coat" — "If I don't wear my coat, then it isn't raining."

The law of contraposition says that a conditional statement is true if, and only if, its contrapositive is true.

Congruent Angles: -

In mathematics, the definition of congruent angles is "angles that are equal in the measure are known as congruent angles". In other words, equal angles are congruent angles. It is denoted by the symbol "≅", so if we want to represent ∠A is congruent to ∠X, we will write it as ∠A ≅ ∠X.

Equilateral triangle: -

An equilateral triangle is a triangle with all three sides of equal length a, corresponding to what could also be known as a "regular" triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal. An equilateral triangle also has three equal 60 degrees angles.

Therefore, based on above introductions we can say that If it is an equilateral triangle, then the triangle has three congruent angles.

Learn more about Equilateral Triangle:

https://brainly.com/question/3461022

#SPJ4

Out of all the staff in a hospital, 105 employees are administrative staff, 60 employees are physicians, and 135 employees are other medical staff. What percent of the hospital's employees are physicians?

Answers

Answer:

20%

Step-by-step explanation:

there are 105 + 60 + 135 = 300 staff.

60 are physicians.

(60/300) X 100 = 20% are physicians

Answer: 20%

Step-by-step explanation:

the measure of one angle of a right triangle is 34 degrees more than the measure of the smallest angle. Find the measure of all three angles.

Answers

A right triangle is a triangle which has one of it's angles equal to 90 degrees. The sum of all the internal angles for a triangle have to be equal to 180 degrees. The smalles ange will be called "x", therefore the sum of the internal angles of this triangle are:

\(\begin{gathered} x+(x+34)+90=180 \\ 2x+34+90=180 \\ 2x+124=180 \\ 2x=180-124 \\ 2x=56 \\ x=28 \end{gathered}\)

The smallest is 28 degrees. The second one is:

\(\text{ang}2=x+34=28+34=62\)

The second is equal to 62 degrees and the third is equal to 90 degrees.

what is the solution to the system of equations graphed below? A) (-4, 5)B) (0, 9)C) (-2, 2)D) (-9, 0)

what is the solution to the system of equations graphed below? A) (-4, 5)B) (0, 9)C) (-2, 2)D) (-9, 0)

Answers

(-4, 5) (option A)

Explanation:

The solution of two system of equations is the point the two lines intersect.

For this two sytem of equations, the red and blue line meet at x = -4 and y= 5

The point of intersection (x, y) = (-4, 5)

Hence, the solution to the system of equations graphed below is (-4, 5) (option A)

What is iambic pentameter words?

Answers

Iambic verse's simplest illustration is a human heartbeat, which consists of a smaller beat followed by a larger beat: da-DUM. This is how iambic pentameter would sound: "da DUM, da DUM, da DUM, da DUM, da DUM."

Given,

Iambic pentameter;

Iambic pentameter is a rhythmic pattern that combines stressed and unstressed syllables in groups of five and is most frequently used in poetry. The most well-known meter for iambic poetry is pentameter, although there are others as well, including dimeter, tri meter, tetrameter, etc.

A human pulse, which consists of a smaller beat followed by a greater beat: da-DUM, is the most basic example of iambic verse. Iambic pentameter would then have the following pronunciation: "da DUM, da DUM, da DUM, da DUM."

Learn more about Iambic pentameter here;

https://brainly.com/question/3841005

#SPJ4

1.) Identify the similar triangles in each figure. Explain why they are similar and use the given information to find x and y.

2.) The area of a rectangle is 108 cm2. The ratio of the width to the length is 3:4. Find the length and the width.

1.) Identify the similar triangles in each figure. Explain why they are similar and use the given information

Answers

Figure (a) have similar triangles, while figure (b) do not; and the length and the width of the rectangle are 12 cm and 9 cm,

Identifying the similar triangles in each figure.

Figure (a)

The similar triangles in this figure are

ABC and AED

This is because:

The triangles have similar corresponding sides and congruent angles

Also, ABC is divided by 3 to get AED

So, we have

x = 15/3 = 5

y = 10/3

Figure (b)

The triangles in this figure are not similar triangles

The length and the width of the rectangle

We have

Area = 108

Width : Length = 3 : 4

So, we have

Width = 3/4Length

The area is

Area = Length * Width

Area = Length * 3/4Length

Length * 3/4Length = 108

3/4Length² = 108

Length² = 144

Length = 12

Recall that

Width = 3/4Length

Width = 3/4 * 12

Width = 9

Hence, the length and the width of the rectangle are 12 cm and 9 cm, respectively

Read more about similar shapes at

https://brainly.com/question/14285697

#SPJ1

A rectangular prism has a base of 15 ft2 and a height of 9 ft. What is the volume of the rectangular prism?

Answers

Answer:

135 ft^3

Step-by-step explanation:

Volume of a rectangular prism is basically just width x height x depth. So the area of the base multiplied by the height. 15 x 9 = 135

Answer: 135 ft³

Step-by-step explanation:

     Volume, when dealing with a rectangular prism, is L * W * H

-> L * W can simplify to the base, as it does in the problem given to us.

V = (L * W) * H

V = B * H

V = 15 * 9

V = 135 ft³

          The rectangular prism has a volume of 135 ft³.

One-fourth of the married couples in a far-off society have exactly three children. The other three-fourths of couples continue to have children until the first boy and then cease childbearing. Assume that each child is equally likely to be a boy or girl. What is the probability that the male line of descent of a particular husband will eventually die out?

Answers

To calculate the probability that the male line of descent of a particular husband will eventually die out, we can analyze the different scenarios.

A couple has exactly three children:

In this case, the male line of descent will not die out, as they have at least one boy.

A couple has more than three children, and the first-born child is a boy:

In this scenario, the male line of descent will continue, as they have at least one boy.

A couple has more than three children, and the first-born child is a girl:

In this situation, the male line of descent depends on the subsequent children. Each subsequent child has an equal chance of being a boy or a girl. If there are only girls born after the first child, then the male line of descent will eventually die out.

Since each child is equally likely to be a boy or a girl, the probability of having only girls after the first-born child is (1/2)^n, where n is the number of subsequent children.

Therefore, the probability that the male line of descent of a particular husband will eventually die out is the probability of scenario 3 occurring, which can be calculated by summing the probabilities of having only girls after the first-born child for different numbers of subsequent children.

However, the exact probability depends on the specific conditions and number of subsequent children, which is not provided in the question.

Learn more about descent here

https://brainly.com/question/30561031

#SPJ11

What is multiplicative property of equality?

Answers

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.

Property of Equality:

The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.

That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.

Multiplicative Property of Equality:

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.

The formula for this property can be expressed as for the real numbers a, b, and c.

If a × b, then, a × c = b × c.

In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.

Learn more about real number:

https://brainly.com/question/10547079

#SPJ4

Christine’s video store membership costs $5, and it costs $3.50 to rent a DVD. Christine spent $29.50 her first month. How many DVDs did she rent? Write as an equation.​

Answers

She rented 7 DVDs the first month

Which of the following does the Pythagorean Theorem reveal

Answers

According to the Pythagorean theorem, "in a right-angled triangle, the squares of the hypotenuse side is equivalent to the sum of squares of the other two sides," the hypotenuse side is the longest side of the triangle.

This is further explained below.

What is Pythagorean Theorem?

Generally, The Pythagorean theorem is a well-known geometric theorem that states the number of squares just on the legs of a right triangle is equal to the square just on the hypotenuse (the side that is opposite the right angle).

This theorem can also be expressed in the familiar algebraic notation of a2 + b2 = c2, where a and b are the lengths of the legs of the triangle.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is an essential connection in Euclidean geometry that describes the relationships between the three sides of a right triangle.

It indicates that the total of the areas of the squares on the other two sides is equal to the area of the square whose side is the hypotenuse.

In conclusion, This means that the area of the square whose side is the hypotenuse is equal to that amount.

Read more about Pythagorean Theorem

https://brainly.com/question/14930619

#SPJ1

CQ Not found: Answered Generally

Help!
Cody is painting the front door of his house. The dimensions of the door are 80 inches by 36 inches by 2 inches. If he paints all of the surfaces how much area will he paint? Explain.

Answers

Answer:

To find out how much area he will paint, you will find the area of all 6 faces.

Each face is in the shape of a rectangle, so use A = lw as your formula.

Front/Back:  80 x 36 = 2880 square inches

                   2880 square inches x 2 = 5760 square inches

Right/Left Sides:  80 x 2 = 160 square inches

                          160 square inches x 2 = 320 square inches

Top/Bottom:   36 x 2 = 72 square inches

                    72 square inches x 2 = 144 square inches

5760 + 320 + 144 = 6224 square inches.

Cody will paint 6224 square inches.

Hope this helps!

What is the speed of an object if it travels 13 meters in 8 seconds with a
velocity at 4 seconds of 1.5 meters for 2 seconds

Answers

Answer:we know that speed =distance per time

so, speed=13/8

=1.62 m/s

Step-by-step explanation:

What is the name of the green segment in the hyperbola below

Answers

The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.

In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.

The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.

The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.

The blue segment is the conjugate axis, and it is represented by the letters "2b".

Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.

If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.

For more questions on Length .

https://brainly.com/question/28322552

#SPJ8

Give a proof for the following sequents and theorems. You may use any of the SL and PL proof rules, both primitive and derived.


Bb, ꓱ xBx↔ꓯ yDy ├ D

Answers

We have proved the sequent Bb, ꓱ xBx↔ꓯ yDy ├ D, using Universal Elimination, Material Implication, and Modus Ponens. Bb, ꓱ xBx↔ꓯ yDy ├ D is valid.

b (Premise)

ꓱ xBx↔ꓯ yDy (Premise)

Bb ↔ ꓯ yDy (3, 2 ↔E)

Bb → ꓯ yDy (3 ↔E)

Dd (Assumption)

Bb (1)

Bb → Dd (4, 6 ꓯE)

Dd (5)

Dd V Ed (8 ꓯI)

ꓯ y(Dy V Ey) (9 ꓯI)

Bb → (Dd V Ed) (4, 7-10 ꓯI)

D (Assumption)

Bb (1)

Bb ↔ D (13, 2 ↔E)

Bb → D (14 ↔E)

D (12)

D V E (16 ꓯI)

ꓯ y(Dy V Ey) (17 ꓯI)

Bb → (Dd V Ed) (4, 7-18 ꓯI)

D (1-19 MP)

D (5-10, 12-18 CD)

D ├ D (5-10, 12-21 ꓯI)

Therefore, Bb, ꓱ xBx↔ꓯ yDy ├ D is valid.

Learn more about sequent  here:

https://brainly.com/question/1402754

#SPJ11

Victor has saved $89.25 for the bicycle that he wants .the bicycle cost $129.85

Answers

The model used by Victor in the linear equation is incorrect,

How to identify Linear Equation Models?

The parameters are that;

Victor saved: $89.25

Cost of the bicycle = $129.85

Thus, to find the amount extra that he will need to purchase the bicycle, the equation model should be;

$89.25 + x = $129.85

This can be expressed in words as;

The amount of money he already has saved + the amount of money he still requires = the total price of the bike.

An equation that correctly represents this problem can show the sum of the amount of money he already has and the amount of money he needs equals the total cost of the bicycle

Read more about linear Equation Model at; https://brainly.com/question/4074386

#SPJ1

Complete question is;

Victor has saved $89.25 for the bicycle that he wants. The bicycle costs $129.85. Victor writes the equation below to help him determine the additional amount that he needs to solve to have enough to buy the bicycle.

89.25 + 129.85 = x

Does Victor's equation correctly model the problem?

Giving Brainliest!! Lin calculates the product of 13,462 and 798k to the nearest thousand, where k represents the digit in the ones place. Given that the product has a 0 in the thousands place, what is the value of k?


A. 1

B. 2

C. 4

D. 7

E. 9

Answers

Given that the product has a 0 in the thousands place, the value of k is C. 4.

What is the product?

The product is the result of multiplying two or more numbers together.

The product is the result of multiplication, which is one of the mathematical operators, including addition, subtraction, division, exponentiation, and modulus operations.

Data and calculations:

Product of 13,462 and 798k = 13,462 x 798 x k

= 10,742,676k

K = variable

If k = 1, the product of 10,742,676k = 10,742,676, the nearest thousand = 10,743,000

If k = 2, the product of 10,742,676k = 21,485,352, the nearest thousand = 21,485,000.

If k = 4, the product of 10,742,676k = 42,970,704, the nearest thousand = 42,970,000.

If k = 7, the product of 10,742,676k = 75,198,732, the nearest thousand = 75,199,000.

If k = 9, the product of 10,742,676k = 96,684,084, the nearest thousand = 96,684,000.

Thus, given that the product has a 0 in the thousands place, the value of k is C. 4.

Learn more about products in maths at https://brainly.com/question/1755985

#SPJ1

an italian sausage is 8 inches long. into how many pieces can the sausage be cut if each piece is to be two-thirds of an inch?

Answers

12 pieces can the sausage be cut if each piece is to be two-thirds of an inch.

Define division.

Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

8 inches long. into how many pieces can the sausage be cut if each piece is to be two-thirds of an inch.

Divide 8 by 2/3

8÷ 2/3

8× 3/2

12

12 pieces can the sausage be cut if each piece is to be two-thirds of an inch.

To learn more about division, visit:

https://brainly.com/question/13263114

#SPJ4

There are 900 seats on a train. 540 of the seats are empty. What percentage of the seats on the train are empty?

Answers

60% of the seats on the train are empty

you have to divide 900 by 9 to get 100 because percents are out of 100, then you have to divide 540 by 9 also.

Answer:

60%

Step-by-step explanation:

Because there are 540 empty, and 900 total, you need to divide 540 by 900.

540/900=54/90=6/10=60/100

When you get 60/100, or 0.6, you know that it is 60 percent because percent is out of 100.

Half of 14 writes as an algebraic expression

Answers

The required algebraic expression is 14/2

What is an algebraic expression?

An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.). Terms combine to form expressions.

With the help of integer constants, variables, and the addition, subtraction, multiplication, and division operations in basic arithmetic, an algebraic expression is created. The algebraic statement 5x + 6 is an illustration. In this case, 5 and 6 are fixed values, while x is a variable. Additionally, the variables can be either simple variables with alphabets like x, y, or z or complex variables with names like x², x³, etc. Polynomials are another name for algebraic expressions. Variables (also known as indeterminates), coefficients, and non-negative integer exponents of variables make up a polynomial expression.

Half of 14

=>  (1/2) of 14

=>  14/2

To learn more about the algebraic expression  from the given link

https://brainly.com/question/4344214

#SPJ1

The fatal crash rate of teenage drivers 16 years of age is nearly twice as high at night. Select one: True False

Answers

TRUE

The fatal accident rate for young drivers aged 16 to 19 is about four times higher than at night. Two or more passengers of the same age triple the risk of a fatal accident driving a teenager.

An accident in which someone dies. Synonyms: Accident. Type: Collateral damage.

Of the collisions between cars, angled collisions are the most deadly (about 8,000 in 2020). The interactive chart also shows the estimated number of fatalities, injuries, casualties, and all accidents in different types of car accidents.

Learn about car crashes here:https://brainly.com/question/25241464

#SPJ4

Consider the two vectors
M
=(a,b)=a

^
+b

^

and
N
=(c,d)=c

^
+d

^

. What is the value of the scalar product
M

M
? 1. a
2
+b
2
2. a+b 4. a
2
+2ab+b
2
5. −2ab 6. a−b 7. 2ab 8. a
2
−b
2
9. a
2
−2ab+b
2
019 (part 2 of 2) 10.0 points What is the value of the scalar product
M

N
? 1.
a
2
+b
2


+
c
2
+d
2


2. ad−bc 3. ab−cd 4. ab+cd 5. a
2
+b
2
+c
2
+d
2
6. ad+bc 7. ac+bd 8. abcd 9. ac−bd

Answers

The value of the scalar product M ⋅

M is given by answer 4, a2 + 2ab + b2.

Therefore, the value of the scalar product M ⋅

N is given by answer 6, ad + bc.

What is a scalar product?

A scalar product is a type of binary operation in algebra that combines two vectors in a scalar value.

It is also known as the dot product.

This product is defined as the product of the magnitude of two vectors multiplied by the cosine of the angle between them.

In a scalar product, the order of multiplication does not matter, but the properties of multiplication do hold.

How to calculate a scalar product?

The scalar product of two vectors A and B is given by the formula:

A . B = |A||B| cosθ

where, |A| and |B| are the magnitudes of vectors A and B, and θ is the angle between them.

To know more about angle visit:

https://brainly.com/question/30147425

#SPJ11

Four numbers are such that their mean is 13 their median is 14 and their mode is 15. Find the 4 numbers

Answers

Answer:

7,5,3,1

Step-by-step explanation:

Other Questions
2 pointsReview the sentence. What is the meaning of "improbable?" "[T]here isnothing improbable about my explanation at all. In fact, it's perfectlyordinary."*honorablecriminallikely to occurunlikely to be true Find out the pH of the solution using a hydrogen electrode which is coupled with a saturated calomel electrode . The emf of the combined cell is 0.523 at 25 degree celsius Changes in Matter and Mixtures Assignment1.) Examine each illustration, and identify each as a physical change or a chemical change. Then, provide a brief explanation of why you chose your answer.ILLUSTRATIONEXPLANATIONPhysical or Chemical change?Ice Cream Melting - Fireworks -A rusting car - Do number 5 this is not a quiz 4. A uniform border on all four sides of a framed photo has an area four times that of the photo's area. Calculate the outside dimensions of the border if the dimensions of the photo are 30 cm by 20 cm? Draw the diagram of the photo and its border. 11 purple hats 14 yellow hats 45 purple hats 70 yellow hats I need help with this Select the correct text in the passage. Which two portions of this excerpt from Mark Twain's The Prince and The Pauper highlight the theme of wealth and luxury? At each side of the gilded gate stood a living statue-that is to say, an erect and stately and motionless man-at-arms, clad from head to heel in shining steel armour. At a respectful distance were many country folk, and people from the city, waiting for any chance glimpse of royalty that might offer. Splendid carriages, with splendid people in them and splendid servants outside, were arriving and departing by several other noble gateways that pierced the royal enclosure. Poor little Tom in his rags, approached, and was moving slowly and timidly past the sentinels, with a beating heart and a rising hope, when all at once he caught sight through the golden bars of a spectacle that almost made him shout for joy. Within was a comely boy, tanned and brown with sturdy outdoor sports and exercises, whose clothing was all of lovely silks and satins, shining with jewels, at his hip a little jewelled sword and dagger, dainty buskins on his feet, with red heels, and on his head a jaunty crimson cap, with drooping plumes fastened with a great sparkling gem Several gorgeous gentlemen stood near-his servants, without a doubt. Oh! he was a prince-a prince, a living prince, a real prince-without the shadow of a question, and the prayer of the pauper-boy's heart was answered at last. Which equation represents this number sentence?The quotient of 7 and a number is 10 less than 3 times the number7/n=3(n-10)7/n =10-3nN/7=10-3n7/n3n-10 Find 5/6 of 15. Express your answer in simplest form. . When the firm produces 150 units of output, its profit is a. $2,325.00. b. $3,675.00. c. $3,100.75. d. $2,150.00. Please write an essay explaining this quote: "When a flower doesn't bloom, you fix the environment in which it grows, not the flower."Thanks! 200 as a product of primes using index notation what are the components of niche marketing a)it doesn't matter what the components are, just advertise b)you only have to worry about where you are located c)there are no niches left that are untapped in the industry d)food and beverage, themes, contests, and advertising specific to your target market enron corporation has an ROE and ROA of 18% abd 12%respectively. What is enrons equity multiplier 25 as a product of two primes Homologous is used todescribe alleles that matchtrue or false Who ran for vice president with Lincoln in 1864?A. General William ShermanO B. John C. Frmont of CaliforniaC. General Ulysses S. GrantO D. Andrew Johnson of Tennessee!!HELP PLZ ASAP!! Using a comparator, BCD/7-seg decoder, and 7-seg display to design a logic circuit which appears 9 (25 Marks) when A>B, 5 when A The perimeter of an equilateral triangle with side s is 3s. Diana is making a decorative pillow for her living room. The pillow is shaped like a triangle with lace around the edges. Each side of the pillow is 7 inches long.What is the perimeter of the pillow?