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2 years ago

8

Find the equation for the line that passes through the point (-4,5) and that is perpendicular to the line with the equation-3/2x

+2y=-7

1 answer:

IgorLugansk [536]2 years ago

4 0

Answer:

y = -4/3x - 1/3

Step-by-step explanation:

-3/2x+2y=-7

2y = 3/2x - 7

y = 3/4x - 7/2

y = -4/3x + b

5 = -4/3(-4) + b

5 = 16/3 + b

-1/3 = b

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The time spent studying in hours on a daily basis of nine different students was used to create the box plot shown above. Which

kotykmax [81]

Answer:

B.) 0, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1.5, 2.5

Step-by-step explanation:

From the box plot, we can obtain the 5 - Numbe summary and compare with the values in the options given :

Kindly note that each tick mark on the box plot is seperated by a unit of 0.25

Minimum = 0 (starting point of left whisker)

Lower quartile = 0.25 (start point of box)

Median = 0.5 (point in between the box)

Upper quartile = 1.25 (end point of the box)

Maximum = 2.5 (end point of right whisker)

In ascending order we have ;

0, 0.25, 0.5, 1.25, 2.5

The data which best matches the plot is 0, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1.5, 2.5

7 0

3 years ago

Could someone explain why (-4)² is equal to 16 but -4² is equal to -16

erica [24]

Answer:

It's all about the brackets.

Step-by-step explanation:

If we do (-4)^2, the brackets make it -4 x -4 and the two negatives make a positive of 16.

If we do -4^2, that means that the 4 is squared before putting the minus sign there so you have 4x4 = 16 then put the minus to get -16.

Hope this helps!

treviglaslibrary

8 0

3 years ago

Read 2 more answers

Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing v

34kurt

Answer:

a) The coordinates of the missing vertex = (7, 8)

b) Area = 18 square units

Perimeter = 18 units

Step-by-step explanation:

a) We know three of the four vertices:

A: (4, 2) C ______ D(?)

B: (7, 2) | |

C: (4, 8) A |______| B

To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:

$B_{x} - A_{x} = 7 - 4 = 3$

Hence, the distance of point D from point C in the x-direction is:

$D_{x} = C_{x} + 3 = 4 + 3 = 7$

Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:

$C_{y} - A_{y} = 8 - 2 = 6$

Then, the distance of point D from point B in the y-direction is:

$D_{y} = B_{y} + 6 = 2 + 6 = 8$

Therefore, the coordinates of the missing vertex (point D) are:

$D = (D_{x}, D_{y}) = (7, 8)$

b) The area of the rectangle is:

$a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2}$

The perimeter is given by:

$p = 2*(3 + 6) = 18 units$

I hope it helps you!

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3 years ago

A group of randomly selected Clyde Marketing employees were asked what their most common form of transportation is. The bar grap

poizon [28]

Answer:

The answer is 88, trust.

Step-by-step explanation:

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3 years ago

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What is the equation of the sinusoid?

LenaWriter [7]

Answer:

Hello,

Answer A

Step-by-step explanation:

if x=0 then sin(2*0)=sin(0)=0

if x= π/4 then sin(π/2)=1

if x= π/2 then sin(π)=0

7 0

3 years ago