Question

If the trinomial x² + 4x + 4 represents the area

of a triangle and the binomial x + 2 represents
the base, what expression represents the height
of the triangle?

Answer 1

Its D trust me

Explanation:

Answer 2

To find the expression that represents the height of the triangle, we need to use the formula for the area of a triangle:

Area = (1/2) * base * height

In this case, the trinomial x² + 4x + 4 represents the area of the triangle, and the binomial x + 2 represents the base.

Using the formula, we can rearrange it to solve for the height:

Area = (1/2) * base * height

x² + 4x + 4 = (1/2) * (x + 2) * height

Now, we can solve for the height by isolating it on one side of the equation:

2 * (x² + 4x + 4) = (x + 2) * height

2x² + 8x + 8 = (x + 2) * height

Divide both sides by (x + 2) to solve for height:

height = (2x² + 8x + 8) / (x + 2)

Therefore, the expression that represents the height of the triangle is (2x² + 8x + 8) / (x + 2).