The perimeter of a square box is 12x + 32. Drag numbers to complete an equivalent expression that shows the perimeter as four times the side length of the box. Numbers may be used once, more than once, or not at all.

4L = 4(3x + 8)

So,we can conclude that four times the side length is equal to the perimeter.

Step-by-step explanation:

Let the side length of the square be L.

We know that perimeter of a square is given as: P = sum of all 4 sides.

Thus, since all sides of a square are equal, then P = L + L + L + L = 4L

We are given that the perimeter is 12x + 32.

Since we have established the formula for perimeter as 4L

Thus;

4L = 12x + 32

So, if we factorize the right hand side, we have;

4L = 4(3x + 8)

Comparing both sides, we can see that L = 3x + 8

Thus,we can conclude that four times the side length is equal to the perimeter.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4