Question

The volume of a rectangular prism is given by the expression 10x^3+46x^2-21x-27. The area of the base of the prism is given by the expression 2X^2+28x-9. Which of the following Expressions represents the height of the prism? (V=Bh) a)28x-3 b)3x-5 c)5x+3 d)42x+3

Answer 1

Answer: The answer is C.)

Step-by-step explanation:

(5x+3)x(2x^2+8x-9)=10x^3+46x^2-21x-27.

Everything checks out.

(Plus I got it right on the assignment ;)

Answer 2

H = V/B

$h = \frac{10x^3+46x^2-21x-27}{2x^2+8x-9} = 5x + 3 \\ \\ c)5x+3$

The base of the prism is given by the expression 2X^2+8x-9
then c)5x+3