Which equation represents the area, y, of the trapezoid​

C.  y =  x^2 + 4x.

Step-by-step explanation:

Area of a trapezoid = (h/2)(a + b)   where h is the altitude and a and b are the lengths of the parallel sides.

So here

Area y  = (x/2)(8 + 2x)

= 8x/2 + 2x^2/2

= 4x + x^2.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

ratio is 2 : 9

the answer is three

13.5 : 3