Construct a 2x2 matrix A= aij. whose elements are given by

a = |-3i + j|​

Answer: The difference between Shelly's and Terrence's total points

since Shelly scored 90 points on each one and completed x tasks

The total points Shelly scored will be 90x

-20 is the constant term

90x -20 =Terrence points

Answer:

Problem 21:

Slope = -3
y-intercept = (0, 7)

Problem 23:

Slope = 1
y-intercept = (0, -2)

Problem 22:

Slope = \(\frac{2}{3}\)
y-intercept = (0, 1)

Step-by-step explanation:

In the slope formula, the coefficient of x (the number times x) is the slope. The number added or subtracted from it is the y-intercept.

In problem 21, -3 is the coefficient of x, so thats the slope. 7 is what's being added, so that is the y-intercept.

In problem 23, 1 is the coefficient of x (a singular x is the same as 1, or -1 if the variable is negative), so thats the slope. -2 is what's being subtracted, so that is the y-intercept.

In problem 22, \(\frac{2}{3}\) is the coefficient of x, so thats the slope. 1 is what's being added, so that is the y-intercept.

hope this helps!

The translations that map to the four tiles are 1 to 2: (x,y) → (x + 2, y), 1 to 4: (x,y) → (x, y + 2), 1 to 6: (x,y) → (x + 4, y + 2) and 1 to 8: (x,y) → (x + 2, y + 4)

From the question, we have the following parameters that can be used in our computation:

The graph

From 1 to 2, we can see that the figure is shifted to the right by 2 units

This is represented as

1 to 2: (x,y) → (x + 2, y)

From 1 to 4, we can see that the figure is shifted up by 2 units

This is represented as

1 to 4: (x,y) → (x, y + 2)

From 1 to 6, we can see that the figure is shifted up by 2 units and shifted right by 4

This is represented as

1 to 6: (x,y) → (x + 4, y + 2)

From 1 to 8, we can see that the figure is shifted up by 4 units and shifted right by 2

This is represented as

1 to 8: (x,y) → (x + 2, y + 4)

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Answer:

(13, 11)

Step-by-step explanation:

The number inside the absolute value is x, but with the opposite sign

The other number is y

The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

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Now we have to,

find the required value of x.

Let's begin,

→ 3x-2 = 2(x-5)

→ 3x-2 = 2x-10

→ 3x-2x = -10+2

→ x = -8

Hence, value of x is -8.

Answer:

x = -8

Step-by-step explanation:

3x - 2 = 2 ( x + 5

Solve for x.

Let's solve,

3x - 2 = 2 ( x + 5 )

Step 1:- Distribute 2.

3x - 2 = 2 × x + 2 × 5

3x - 2 = 2x - 10

Step 2 :- Move constant to the right-hand and change their sign.

3x = 2x - 10 + 2

Step 3:- Add -10 and 2.

3x = 2x - 8

Step 4 :- Move variable to the left-hand side and change their sign.

3x - 2x = -8

Step 5 :- Subtract 2x from 2x.

x = -8

Hence, value of x = -8.

Answer:

apples per pound: 0.25

pears per pound: 0.33

Apples give him the best value per pound

Step-by-step explanation:

to find apple per pound: 4/16= 0.25

to find pears per pound: 7/21= 0.33

Answer:

\(\tt B)\;93^o\)

Step-by-step explanation:

\(\tt 2(19x+1)+(19x+1)+15x=360\)

\(\tt 38x+2+19x-2+15x=360\)

\(\tt 38x+19x+15x+2-2=360\) (Add similar elements)

\(\tt 72x+2-2=360\) (2-2=0)

\(\tt 72x=360\)

\(\tt \cfrac{72x}{72}=\cfrac{360}{72}\) ( Divide both sides by 72)

\(\tt x=5\)

Now,

m∠km:-

\(\tt 19x-2\)

\(\tt 19(5)-2\) (Multiply 19*5= 95)

\(\tt =95-2\) (Subtract)

\(\tt = 93\)

Therefore, m∠km=93° is the answer.

_____

Answer:

48$ Left

Step-by-step explanation:

2$ = Soda

2 x 3 = 6$ = cookies

6$ + 2$ = 8$

56 - 8 = 48$

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

A plumber charges $14 for transportation and $30 per hour for repairs.

Complete the expression that can be used to find the cost in dollars for a repair that takes h hours.



An expression that can be used to find the cost in dollars for a repair that takes h hours is ____ + ____h.​

_______________________________________________________________________

Charges

14 + 30* h

________________________________

Answer

An expression that can be used to find the cost in dollars for a repair that takes h hours is _14___ + _30___h.​

____________________________________________

30 per hour, if it's two hours then 60 for example

Answer:

1/2 is 1 example

Step-by-step explanation:

what

A fraction that is less than 5/8 is 4/8

The fraction is given as:

Fraction = 5/8

A fraction less than 5/8 will have the same denominator but a smaller numerator compared to 5/8

Take for instance, the numerator can be

1 to 4

So, we have;

Smaller fraction = 4/8

Hence, a fraction that is less than 5/8 is 4/8

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Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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Answer:

11-96

Step-by-step explanation:

The money required for Simon to buy two more plants is 11.96

What is Average?

The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Given data ,

Number of plants Simon bought = 3 plants

Total amount of plants = 17.94

Amount for one plant = Total amount of plants / Number of plants bought

So , Amount for one plant = 17.94 / 3

                                           = 5.98

Therefore , Amount of cost for Simon to buy two more plants = Amount of one plant x 5.98

= 5.98 x 2

= 11.96

Hence , The money required for Simon to buy two more plants is 11.96

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The possible price for the items if the store sells $600 is (c) $40

From the question, we have the following parameters that can be used in our computation:

The supply-demand graph

If the store sells $600, then there is a supply worth of $600

The equation of the supply line is calculated as

y = mx + c

Where

c = y = 0

i.e. c = 100

So, we have

y = mx + 100

Using another point on the graph, we have

30m + 10 = 400

So, we have

m = 13

This means that

y = 13x + 100

For a supply of 600, we have

13x + 100 = 600

So, we have

13x = 500

Divide by 13

x = 38.4

Approximate

x = 40

Hence, the possible price for the items is (c) $40

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Answer:

60/6 = 10

Your Constant of proportionality is 10 kilometers per minute

So you will have to set up your equation ----- y = 10x ------ and solve to get 12 hours to drive 120 kilometers :)

Hope this helps!!

Step-by-step explanation:

Answer:

a. N=11

D=12

b. N=1

D=7512

c. N=12

D=0

d. N= 1

D=978

Answer:

Less

Step-by-step explanation:

100% is full size

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

0. 074

Step-by-step explanation:

The result of 14/27 divided by 7 in simplest form is 14/189.

To divide 14/27 by 7, rewrite 7 as a fraction with a denominator of 1:

7 = 7/1

Now, perform the division:

= (14/27) ÷ (7/1)

= (14/27) * (1/7)

To multiply fractions, multiply the numerators and denominators:

= (14/27) * (1/7)

= (14 * 1) / (27 * 7)

= 14/189

Therefore, the result is 14/189.

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Step-by-step explanation:

Refer to attachment.

Hope it helps.

Answer:

b)4feet

Step-by-step explanation:

In a rectangle two sides are equal.

Perimeter is the distance around the rectangle thus.

length=24-8-4-8

length=4

The height of the stump is 3 ft.

The given equation represents the height of the frog, h(t), as a function of time, t. To find the height of the stump, we need to determine the height when the time, t, is equal to 0.

In the equation h(t) = -16t² + 64t + 3, we substitute t = 0:

h(0) = -16(0)² + 64(0) + 3

Since any term multiplied by zero is zero, we can simplify further:

h(0) = 0 + 0 + 3

Therefore, the height of the stump, at time t = 0, is 3 ft. This means that when the frog initially leaps from the stump, the height of the stump itself is 3 ft.

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

\(y - 4 = - 3(x - 2)\)

The coordinates of the point on the directed line segment from (-7, 9) to (3, -1) that partitions the segment into a ratio of 2 to 3 are (-3, 5).

To find the coordinates of the point that divides the directed line segment from (-7, 9) to (3, -1) into a ratio of 2 to 3, we can use the section formula.

Let's label the coordinates of the desired point as (x, y). According to the section formula, the x-coordinate of the point is given by:

x = (2 * 3 + 3 * (-7)) / (2 + 3) = (6 - 21) / 5 = -15 / 5 = -3

Similarly, the y-coordinate of the point is given by:

y = (2 * (-1) + 3 * 9) / (2 + 3) = (-2 + 27) / 5 = 25 / 5 = 5

Therefore, the coordinates of the point that divides the line segment in a ratio of 2 to 3 are (-3, 5).

To understand this conceptually, consider the line segment as a distance from the starting point (-7, 9) to the ending point (3, -1). The ratio of 2 to 3 means that the desired point is two-thirds of the way from the starting point and one-third of the way from the ending point. By calculating the x and y coordinates using the section formula, we find that the desired point is located at (-3, 5).

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Check the picture below.

well, we know the triangle is an isosceles, so it has twin sides coming from the "vertex" down to the "base", running an angle bisector from the "vertex" will give us a perpendicular to the "base", let's find its height.

\(\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{13}\\ a=\stackrel{adjacent}{5}\\ b=\stackrel{opposite}{h}\\ \end{cases} \\\\\\ \sqrt{13^2 - 5^2}=h\implies 12=h\)

so we simply need to get the area of a triangle whose base is 10 and height is 12.

\(A=\cfrac{1}{2}(\underset{b}{10})(\underset{h}{12})\implies \boxed{A=60}\)

The area of the triangle for which the perimeter is 36 centimeters and the length of the sides are 8 cm and 12 cm, found using the Heron's formula is 12·√(15) square centimeters.

Heron's formula is a formula for finding the area of a triangle which is credited to Heron of Alexandra.

The length of the third side is therefore;

36 cm - 8 cm - 12 cm = 16 cm

Heron's formula for finding the area of a triangle can be presented as follows;

Area = √(s·(s - a)·(s - b)·(s - c))

Where;

s = The semi–perimeter of the triangle = P/2

Therefore, s = (36 cm)/2 = 18 cm

a, b, and c = The lengths of the sides of the triangle

Let a represent the 8 cm side, b represent the 12 cm side and let c represent the 16 cm side, we get;

Area = √(18×(18 - 8)×(18 - 12)×(18 - 16)) = √(18 × 10 × 6 × 2) = 12·√(15)

The area of the triangle = 12·√(15) cm²

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The value of function f(g(x))-g(f(x)) is 12x + 21.

What is the meaning of function?

A function is a relationship between a set of possible outputs and a set of inputs where each input is associated to just one possible output.

Given functions are f(x) = x + 3 and g(x) = 5-2x².

The value of the function  f(g(x)) is

f(g(x)) = f(5-2x²) = 5-2x² + 3 = -2x² + 8

The value of the function  g(f(x)) is

g(f(x)) = g(x + 3) = 5 - 2(x + 3)² = 5 - 2(x² + 6x + 9) =5 - 2x² - 12x - 18 = - 2x² - 12x - 13

Substitute the value of f(g(x)) and g(f(x)) in  f(g(x))-g(f(x)) :

f(g(x))-g(f(x))

=  -2x² + 8 -( - 2x² - 12x - 13)

= -2x² + 8 + 2x² + 12x + 13

= 12x + 21

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The measure of <BDC is 68 degree.

The fundamental characteristics listed below make it simple to recognise parallel lines.

First, Interior of ( 2y+ 34) = 180 - (2y + 34)

                                         = 146- 2y

Now, using Corresponding Angle

74 = 146 - 2y

2y= 72

y= 72 / 2

y= 36

Second, Using Linear Pair

-7x+ 12 + (-8x+ 48)= 180

-7x + 12 - 8x + 48 = 180

-15x + 60 = 180

-15x = 120

x= -8

So, <BDC = -7x+ 12 = 56+ 12 = 68 degree

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