Answer:
Step-by-step explanation:
m=riserun=ΔyΔx
m=y2−y1x2−x1
m=0−2−2−2
m=−2−4
m=12
The answer is :
m = 0.5
The quadrilaterals ABCD and JKLM are similar.
Find the length x of MJ.
Answer:
MJ = 0.7 × 7 = 4.9
Step-by-step explanation:
its 4.9 im sure, its hard to explain it
The value of x or the length of the MJ is 4.9 units after using the similarity property.
What is the similarity law?It is defined as the law to prove that the two figures have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
We have two figures shown in the picture.
The two figures are similar.
By using the similarity property:
4/2.8 = 7/x
After solving:
x = 4.9
or
MJ = 4.9
Thus, the value of x or the length of the MJ is 4.9 units after using the similarity property.
Learn more about the similarity law here:
brainly.com/question/8045819
#SPJ2
6. Suppose that real numbers x and y satisfy the equation r4-4y²+8y2 = 12y - 9. The value of 2+ y² is (A) 13/2 (B) 21/4 (C) 9/2 (D) 21/2 (E) 45/4
To find the value of 2 + y², we need to solve the given equation and substitute the obtained value of y into the expression.
Given equation:
r^4 - 4y^2 + 8y^2 = 12y - 9
Combining like terms, we have:
r^4 + 4y^2 = 12y - 9
Now, let's simplify the equation further by factoring:
(r^4 + 4y^2) - (12y - 9) = 0
(r^4 + 4y^2) - 12y + 9 = 0
Now, let's focus on the expression inside the parentheses (r^4 + 4y^2).
From the given equation, we can see that the left-hand side of the equation is equal to the right-hand side. Therefore, we can equate them:
r^4 + 4y^2 = 12y - 9
Now, we can isolate the term containing y by moving all other terms to the other side:
r^4 + 4y^2 - 12y + 9 = 0
Next, we can factor the quadratic expression 4y^2 - 12y + 9:
(r^4 + (2y - 3)^2) = 0
Now, let's solve for y by setting the expression inside the parentheses equal to zero:
2y - 3 = 0
2y = 3
y = 3/2
Finally, substitute the value of y into the expression 2 + y²:
2 + (3/2)^2 = 2 + 9/4 = 8/4 + 9/4 = 17/4
Therefore, the value of 2 + y² is (B) 21/4.
Learn more about Real Number from the given link
https://brainly.com/question/17201233
#SPJ11
To find the value of 2 + y², we need to solve the given equation and substitute the obtained value of real number y into the expression.
Given equation:
r^4 - 4y^2 + 8y^2 = 12y - 9
Combining like terms, we have:
r^4 + 4y^2 = 12y - 9
Now, let's simplify the equation further by factoring:
(r^4 + 4y^2) - (12y - 9) = 0
(r^4 + 4y^2) - 12y + 9 = 0
Now, let's focus on the expression inside the parentheses (r^4 + 4y^2).
From the given equation, we can see that the left-hand side of the equation is equal to the right-hand side. Therefore, we can equate them:
r^4 + 4y^2 = 12y - 9
Now, we can isolate the term containing y by moving all other terms to the other side:
r^4 + 4y^2 - 12y + 9 = 0
Next, we can factor the quadratic expression 4y^2 - 12y + 9:
(r^4 + (2y - 3)^2) = 0
Now, let's solve for y by setting the expression inside the parentheses equal to zero:
2y - 3 = 0
2y = 3
y = 3/2
Finally, substitute the value of y into the expression 2 + y²:
2 + (3/2)^2 = 2 + 9/4 = 8/4 + 9/4 = 17/4
Therefore, the value of 2 + y² is (B) 21/4.
Learn more about Real Number from the given link
brainly.com/question/17201233
#SPJ11
What is the area of a rectangle with side lengths 2/5 feet and 4/6 feet?
Answer:
\(\frac{4}{15}\) (4/15)
Step-by-step explanation:
\(\frac{4}{6}=\frac{2}{3}\)
\(\frac{2}{5}*\frac{2}{3};\)
1- Multiply the numerators:
\(2*2=4\)
2- Multiply the denominators:
\(5*3=15\)
3- Thus:
\(\frac{2}{5}*\frac{2}{3}= \frac{4}{15}\)
Hope this helps ;)
i need help with this geometry
Answer: The answer to your question is B.
Explanation: Answer A equals y = 2 (positive), C equals x = -2, and D equals x = 2 (positive) so that only leaves c as the remaining answer. Hope I helped and good luck.
What is the conversion of 2/5 in decimal ?
The conversion of a fraction number with denominator 5 and numerator 2 , 2/5 in decimals is equals to the 0.4 value.
A decimal number can be defined as a number whose whole number part and fractional part are separated by a decimal point. Writing 2/5 as a decimal number by converting the denominator to powers of 10. We multiply the numerator and denominator by a number so that the denominator is a power of 10.
2/5 = (2 × 2) / (5 × 2) = 4/10
Now move the decimal point to the left as many places as there are zeros in the denominator, which is a power of 10.
The decimal moved one place to the left because the denominator was 10. Therefore, 4/10 = 0.4. Hence, required value is 0.4.
To learn more about decimal, visit:
https://brainly.com/question/703656
#SPJ4
3 5x + 6y = 32
12y - 4x = 8
Answer:
Step-by-step explanation: (x,y) (4,2)
Calculate the gain or loss percent for CP = Rs.4500 and SP = Rs.5175.
Answer:
CP = 4500
SP = 5175
As the SP is greater than the CP, it is a profit
Profit = 675
Profit percent = (Profit / CP) * 100
=> (675/4500) * 100
=> 675/45 (As the 2 zeros of hundred in the numerator is cancelled by the 2 zeros of the 4500 in the denominator)
=> 15 (Once you divide 675 by 45)
=> 15 % profit
Therefore, Profit = 15 %
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
translate and solve " the difference between two-thirds of a number , n, and eleven is at least 17"
Answer:
\( \frac{2}{3} n - 11 \geqslant 17\)
\(n \geqslant 42\)
Explanation:
difference equals -
two-thirds equals 2/3
a number n equals variable of n
and 11 equals 11
at least equals _> (but like those together)
For solving equations just use photomath
The solution to the expression is n ≥ 42
What is an Equation ?
An equation, statement of equality between two expressions consisting of variables and/or numbers
An equation is a mathematical expression that contains an equals symbol.
Equations often contain algebra.
Algebra is used in maths when you do not know the exact number in a calculation.
Translating the equation
\(\rm \dfrac{2}{3} \;n-11 \geq 17\)
\(\rm \;n \geq (17 + 11)\times\dfrac{3}{2}\\\\\\ n \geq 42\)
Therefore the solution to the expression is n ≥ 42
To know more about Equation
https://brainly.com/question/10413253
#SPJ2
Find the distance from point A(-1. 7) to the line y = 3x. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
This seems complicated, huh.
So think about the question. They want to know the distance from a line, to a point. first decide if the point could possibly be on the line and there is zero distance. The given point is at (-1, 7) our coordinates of the point are at -1 in the X direction and at 7 in the Y direction. If we were to plug in those two number into the given line equation, y = 3x would it be a true statement? no. 7 = 3(-1) is not true. so our given point is not on the line. Next, find the right angle to the line and point. make your own line equation that does have our given point in it. and is at a right angle to the given line. recall that using a reciprocal can give you a right angle to your line. y = (- 1/3)X . Now we just need the given point to plug into our made up line equation and be true. 7 = (-1/3)(-1) + b . we need to make this equation true by moving a number into "b" that makes it true.
b = 6\(\frac{2}{3}\) or \(\frac{20}{3}\)
7 = (-1/3)(-1) + \(\frac{20}{3}\)
now, when does our made up line, y =(-1/3)x + \(\frac{20}{3}\), intersect with the given line, y=3x, that is, set the two equal
3x = (-1/3)x + \(\frac{20}{3}\)
3\(\frac{1}{3}\) X = \(\frac{20}{3}\)
\(\frac{10}{3}\)X = \(\frac{20}{3}\)
X=\(\frac{20}{3}\) * \(\frac{3}{10}\)
X = \(\frac{20}{10}\)
X=2
our two equations intersect at 2, how handy :)
now we have our two points that are at a right angle from each other and we just need the distance from them
(given) A(-1,7) and (found) B(2,6)
Distance = \(\sqrt{(x2-x1)^{2} + (y2-y1)^{2} }\)
then our given points are A(x1,y1) and B(x2,y2)
Distance = \(\sqrt{(2-(-1))^{2}+(6-7)^{2} }\)
Distance =\(\sqrt{3^{2}+(-1)^{2} }\)
Distance = \(\sqrt{9+1}\)
Distance = \(\sqrt{10}\)
Distance = 3.1622
Distance =3.2 (rounded to nearest 10th)
Yes, that was kinda a lot :/
DeAndre downloaded 8 apps onto his tablet in 12 seconds. At this rate, how many apps could he download in one minute? (12 seconds = 15
Answer:
40 apps in a minute!
PLS HELP DUE IN 5 MIN!!! I will mark BRAINLIEST!!!!
If you start with 32.00 g Cuso, in 100 mL of water at 20°C, about how much more CuSO4 can you expect will dissolve if the water is heated to 60°C? Explain your
reasoning
Answer:
50° degrees
CARRYONLEARNIG
The cylinder below has a curved surface area of 352 m² and a length of 16 m. Work out the total surface area of the cylinder. Give your answer to 3 s.f?
The total surface area of the cylinder in question is 428.93 m².
How are the parameters of a cylinder determined?
A cylinder is a three-dimensional solid with a parallel circular base and top. The overall height of the cylinder is the perpendicular distance between the top and base.
The area with just curved surfaces, leaving the circular top and base, is referred to as the curved surface area.
Total Surface Area is the combined area of the bases and the curved surface.
Mathematically, curved surface area = 2πrh, where r = radius, h = height of cylinder;
Total surface area = 2πrh + 2πr², where r = radius, h = height of cylinder.
Given, the curved surface area of the cylinder = 352 m²
Height of the cylinder = h = 16 m
Using the formula established above, we have 2πrh = 352 --(i)
Substituting other values in (i), we get 2*3.14*r*16 = 352 ⇒ r = 3.50 m
Again, total surface area of cylinder = 2πrh + 2πr²
Substituting all values, we get TSA = (2*3.14*3.50*16) + (2*3.14*3.50²)
= 428.93 m²
Thus, the total surface area of the cylinder in question is 428.93 m².
To learn more about this, tap on the link below:
https://brainly.com/question/20720526
#SPJ9
Please Help Quickly ASAP Hurry ASAP
Marco, Garret, and Dino are hiding during a game of hide-and-seek. Their relative locations are shown in the diagram.
What is the distance between Garret and Dino?
The distance between Garret and Dino is 21 yards.
What is the distance between Garret and Dino?
The distance between the three friends is represented with a triangle. A traingle is a polygon with three sides and three angles.
The formula that would be used to determine the distance between Garret and Dino is:
C² = a² + b² - 2ab · CosC
C² = 17² + 15² - (2 x 15 x 17) Cos 81
C²= 514 - (510 x 0.15643)
C²= 434.24
C = √44.24 = 21 yards
Kevin is 3 times as old as
Daniel. 4 years ago, Kevin was 5 times as old as Daniel.
How old is Daniel now?
Answer:
Daniel is 8 years old now.
Step-by-step explanation:
From the word problem we can make the following two equations:
Let "K" be Kevin's age now and let "D" be Daniel's age now, then...
K = 3D
K - 4 = 5(D - 4)
Now we substate the value of K, and get...
K - 4 = 5(D - 4)
3D - 4 = 5(D - 4)
3D - 4 = 5D - 20
3D - 5D = - 20 + 4
- 2D = - 16
D = 8
Therefore Daniel is 8 years old now.
MULTIPLYING POWERS WITH THE SAME BASE
Match each product of powers with its simplified expression
Answer:
1. 5²
2. 5⁴
3. 1/5⁶
4. 5⁰
5. 5¹⁰
Step-by-step explanation:
1. 5⁶⁺⁽⁻⁴⁾=5²
2. 5¹⁺³=5⁴
3. 5⁻³⁺⁽⁻³⁾=5⁻⁶=1/5⁶
4. 5⁽⁻⁴⁾⁺⁴⁺⁰=5⁰
5. 5⁷⁺³=5¹⁰
your answer would be the following:
1. 5²
2. 5⁴
3. 1/5⁶
4. 5⁰
5. 5¹⁰
Right on EDGE 2021 for math
Please help I have a learning disailty and this is due today.PLEASE PLEASE I DONT KNOW THE ANSWER AND SOOOOOOOOOOOO NEED THIS I WILL DO ANYTHING YOU WANT MARK YOU ASK A QUESTION SO YOU GET THE POINTS PLEASE I JUST REALLY NEED HELP.
Start at hexagon A. After you solve the expression find the answer in blue on the edge on the hexagon. The answer will lead you to your next hexagon.
Continue along the maze path until you reach the hexagon with an S in the flower. This is where you will finish.
To answer the questions below, type the letter in each hexagon that you solved along the maze in the order they were answered.
You do not need to include the starting hexagon (of A) or the end hexagon (of S). These are already written in the order below.
Use only capital letters when typing in the hexagon letter
Starting hexagon A
Second hexagon solved ______________________
Third hexagon solved____________________________
Fourth hexagon solved________________________________
Fifth hexagon solved____________________________________-
Last hexagon S (flower)
A mathematical description of hexagon is given above.
What is a polygon?In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
The bounded plane region, the bounding circuit, or the two together, may be called a polygon.
The segments of a polygonal circuit are called its edges or sides.
Given is hexagon.
In geometry, a hexagon is a six-sided polygon creating the outline of a cube. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.
A regular hexagon is defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle).
Therefore, a mathematical description of hexagon is given above.
To solve more questions on translations, visit the link below -
brainly.com/question/12463306
#SPJ1
In the Florida Lottery Cash4Life game a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. He will win the jackpot of $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. He will win $1000 a week for life if just all 5 numbers match the winning numbers. Assuming that the numbers are equally likely to be
drawn, determine:
(a) (5) The probability that the player will $1000 a day for life;
(b) (5) The probability that the player will $1000 a week for life;
The probability of winning $1000 a day for life is approximately 5.245 x 10^-11 and the probability of winning $1000 a week for life is approximately 1.07 x 10^-8. The probability of winning the jackpot ($1000 a day for life) is 1/(60^5 * 4), while the probability of winning $1000 a week for life is 1/(60^5).
In the Florida Lottery Cash4Life game, a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. The jackpot prize is $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. If just all five numbers match the winning numbers, the player will win $1000 a week for life.
To determine the probability of winning $1000 a day for life, we can use the formula for the probability of independent events: P(A and B) = P(A) x P(B)
(a) To win the jackpot of $1000 a day for life, the player needs to match all five numbers and the Cash Ball. There are 60 options for each of the five numbers and 4 options for the Cash Ball. The total number of possible outcomes is 60^5 (60 choices for each of the five numbers) times 4 (for the Cash Ball). So the probability of winning the jackpot is 1/(60^5 * 4). (b) To win $1000 a week for life, the player needs to match only the five numbers, without considering the Cash Ball. The total number of possible outcomes for this scenario is 60^5. Therefore, the probability of winning $1000 a week for life is 1/(60^5).
To know more about probability visit:-
https://brainly.com/question/32201909
#SPJ11
Solve the function below for y when x=12.
y=−3x+20
Answer:
y = -16
Step-by-step explanation:
y = -3(12) + 20
y = -36 + 20
y = -16
Hope this helps and pls do mark me brainliest if you can:)
From the following categories of variables, which of them are mutually exclusive and exhaustive?
a. Days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday
b. Days: Weekday and Weekend
c. Letters: Vowels and Consonants
d. Letters: Alphabets and Consonants
The given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants.
Mutually exclusive and exhaustive variables: A variable is mutually exclusive and exhaustive if it includes all possible outcomes and each outcome can only be assigned to one variable category.a. Days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday - Mutually exclusive and exhaustiveb. Days: Weekday and Weekend - Mutually exclusive and exhaustive c. Letters: Vowels and Consonants - Mutually exclusive and exhaustive. Letters: Alphabets and Consonants - Not mutually exclusive and exhaustiveThe given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants. Hence, the options a and c are correct.
Learn more about exhaustive here:
https://brainly.com/question/30239943
#SPJ11
Help please ASAP:
Which pair of triangles are congruent using the hypotenuse leg congruence criteria?
Select the two correct answers.
A. triangle ABC: A(−7,4), B(−4,1), C(−2,5)
B. triangle QRS: Q(3,−4), R(3,−1), S(7,−1)
C. triangle DEF: D(−2,6), E(1,3), F(3,7)
D. triangle TUV: T(−6,−5), U(−6,1), V(4,1)
E. triangle WXY: W(−6,4), X(−6,1), Y(−2,1)
Answer:
la C
Step-by-step explanation:
Perimeter is 25 cm, find x 10 8.2 cm
Solve: 3x + 18 - 8x = -17 *
Answer:
The answer is x=7
Step-by-step explanation:
3x+18-8x=-17
move all terms to the left:
3x+18-8x-(-17)=0
add all the numbers together, and all the variables:
-5x+35=0
move all terms containing x to the left, all other terms to the right
-5x=-35
x=-35/-5
x=7
HELP ME PLSSS. ANSWER NEEDS TO BE EXPLAIN STEP BYE STEPS.CORRECT ANSWER WILL BE BRAINLIST.
Solution given.
Volume of rectangular prism=2400cm³
area of base*height=2400cm³
For A
satisfied for all
for B
not satisfied for all
for C
not satisfied for all
for D.
not satisfied for all
Option A.is your answer.
James received a $3,000 car loan, she plans to pay it off in 2 years. James will have paid $480 of interest at the end of the two years.
What is the interest rate on the car loan?
Answer:
To use the simple interest formula, I = Prt, we substitute in the values for ... Find the principal invested if $178 interest was earned in 2 years at ... In 4 years his brother paid him back the $3,000 plus $660 in interest. ... new car loan statement said he would pay $4,866.25 in interest from ... Get Page Citation.
Step-by-step explanation:
How are the properties of exponents used when dividing a polynomial by a monomial?
Answer:
a couple different obes
Step-by-step explanation:
there are five
Ian makes a Fish Pie for 15 people. Work out how much Butter he needs.
Answer:
10
Step-by-step explanation:
2 butter = 160
160×4=910
Can someone help me?
Answer:
D) 40 degrees
Step-by-step explanation:
If ray BD bisects <ABC, then we have <ABD and <DBC. Both angles would be the same because the angle bisector theorem states an angle bisector is a ray in the interior of an angle forming two congruent angles. So, the answer is D) 40 degrees.
What is the quotient of 3.243 x 10^8 and 7.05 x 10^2
Answer:
4,600,000,000
Step-by-step explanation:
Don't forget the order of operations
3.243 × 10⁸/7.05
= 46,000,000 × 10²
= 4,600,000,000
or 4.6 × 10⁹
Answer:
4.6x10 to the power of 5
Step-by-step explanation:
7.05×10
2
3.243×10
8
Divide them.
\frac{3.243}{7.05}\times \frac{10^8}{10^2}
7.05
3.243
×
10
2
10
8
Divide numbers and 10's separeately.
0.46\times 10^6
0.46×10
6
Subtract exponents.
(4.6\times 10^{-1})\times 10^6
(4.6×10
−1
)×10
6
Rewrite as a number bigger than 1
4.6\times (10^{-1}\times 10^6)
4.6×(10 −1 ×10 6 )
Associate
4.6\times 10^5
4.6×10 5
Add exponents
a closed box has a square base of side x and height h. (a) write down an expression for the volume, v, of the box. (b) write down an expression for the total surface area, a, of the box.
The expression for the volume of a closed box with a square base of side x and height h is V = x^2 * h, and the expression for the total surface area of the box is A = 4xh + 2x^2.
(a) The expression for the volume, V, of the closed box is given by V = x^2 * h. This expression represents the product of the area of the square base, x^2, and the height, h, of the box. The unit of measurement for the volume would be cubic units, such as cubic meters or cubic feet, depending on the context.
(b) The expression for the total surface area, A, of the closed box can be obtained by adding the areas of all six faces of the box. The box has four identical rectangular faces, each with an area of x * h, and two identical square faces, each with an area of x^2. Therefore, the total surface area can be expressed as A = 4xh + 2x^2. This expression represents the sum of the areas of all six faces of the box. The unit of measurement for the surface area would be square units, such as square meters or square feet, depending on the context.
In summary, the volume and surface area of a closed box with a square base of side x and height h can be expressed as V = x^2 * h and A = 4xh + 2x^2, respectively. These expressions can be useful in various applications, such as calculating the amount of space needed to store objects or materials or determining the amount of material needed to construct the box.
To learn more about Surface areas, visit:
https://brainly.com/question/20771646
#SPJ11
Solve the system below for x: (2 pts)
y = 6x + 4
y = 5x - 1
O X=-3
O X = -3/11
0 x = -5
x = -5/11
Answer:
x=-5
Step-by-step explanation:
6x+4=5x-1
x+4=-1
x=-5