Question

If the volume of the rectangular prism is represented by 6x^2-2x+8 and the base area is 2x-4, which expression represents the height

Answer 1

Answer:

$height=\frac{6x^2-2x+8}{2x-4}$

Step-by-step explanation:

Given equation of volume is $6x^2-2x+8$. Also given that bsae area is

$2x-4$.

In a rectangular prism,

$volume =area of base*height$

So height would be ,

$\frac{volume}{areaofbase}$

On substituting we get ,

$height=\frac{6x^2-2x+8}{2x-4}$

First let us factorize $6x^2-2x+8$.

$2(3x + 1)(x - 4)=6x^2-2x+8$

As 2x-4 is not an factor expression for height would be

$height=\frac{6x^2-2x+8}{2x-4}$