Beth is moving into a new house and purchased cardboard boxes for packing her things. each cardboard box has a square base and a height that is 5 inches shorter than the side length of the base. if x represents the side length of the base, which of the following functions represents the surface area, s, of the cardboard box?
a. s(x) = 6x2 - 20x
b. s(x) = 6x2 + 20x
c. s(x) = 2x2 - 10x
d. s(x) = 2x2 + 10x

A

Step-by-step explanation:

Does the box have a lid?

Base Area = x * x = x^2

One side = x(x - 5) and there are 4 such sides.

4 sides = 4*x*(x-5) = 4x^2 - 20x

Since there are no answers with just 5x^2 the answer is that the boxes must have a lid

Lid + base = x^2 + x^x

Lid + base = 2x^2

Four sides = 4x^2 - 20x

Total = 6x^2 - 20x

A

you need a common difference between consecutive terms to be constant, like 1,2,3,4 or 2,4,6,8, or 1,3,6,9

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)