Apiece of cloth is folded into a square with a side length measuring x inches. when it is unfolded, it has an area of x2 + 27x + 162 square inches.
which could be the dimensions of the rectangular piece of cloth when it is unfolded? remember, the area of a rectangle can be determined using the formula a = lw.

we need to factor the expression

Equate to zero the expression

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Complete the square. Remember to balance the equation by adding the same constants to each side

Rewrite as perfect squares

Hence

Remember that the area of the rectangle is equal to

therefore

the answer is

the dimensions of the rectangular piece of cloth could be

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph