35 POINTSThe line contains the point (-8,7) and is perpendicular to 3x+2y=-7 The equation of the line is:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the perpendicular line we must first find the slope of the original line

We must first write the equation in the general form above in order to find the slope

3x + 2y = - 7

2y = - 3x - 7

Divide both sides by 2

y = - 3/2x - 7/2

Comparing with the general equation above

Slope = - 3/2

Since the lines are perpendicular to each other the slope of the perpendicular line is the negative inverse of the original line

Slope of perpendicular line = 2/3

So the equation of the line using point (-8,7) and slope 2/3 is

We have the final answer as

Hope this helps you

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.

step-by-step explanation: