The volume of a rectangular prism is given by the expression10x3 + 46x2 – 21x – 27. the area of the base of the prism is given by the expression 2x2 + 8x – 9. which of the following expressions represents the height of the prism? (v = bh) a) 8x - 3 b) 3x - 5 c) 5x + 3 d) 42x + 3

The correct option is c.

Step-by-step explanation:

The volume of a rectangular prism is given by the expression

The area of the base of the prism is given by the expression

The volume of a rectangular prism is

Where, B is base area and h is height of the prism. Divide both the sides by B.

So, the height of the prism is

Factories the numerator.

Cancel out the common factors.

The height of the prism is 5x+3. Therefore the correct option is c.

figure c

step-by-step explanation:

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