the perimeter of a rectangle is 20 units. The length of the rectangle is the distance from(-2,6) to (5,6) What is the width in units of the rectangles?

3 units.

Step-by-step explanation:

We can calculate the length, since it only moves on the "x" axis, since on the "y" axis, it remains the same.

We know that between -2 to 5, there are 7 units. 2 + 5 = 7.

Therefore this would be the length.

We know that the perimeter is equal to:

p = 2 * w + 2 * l

P = 20

20 = 2 * w + 2 * 7

2 * w = 20 - 14

w = 6/2

w = 3

therefore, the width value is 3 units.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: