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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) 8x - 3 3x - 5 5x 3 42x 3

Sagot :

Answer:

5x+3

Explanation:

  • Did it on Edge

The expression that correctly represents the height of the prism is;

height = 5x + 3

We are given;

Volume of prism base; V = 10x³ + 46x² - 21x - 27  

Area of prism base; A = 2x² + 8x - 9  

Now, formula for Volume of Prism is;

V = Ah

Where h is height of prism

Thus;

h = V/A

h =  (10x³ + 46x² - 21x - 27)/(2x² + 8x - 9)

Using long division method to divide gives;  

                    ___5x + 3___________-

 2x² + 8x - 9| 10x³ + 46x² - 21x - 27

                    - 10x³ + 40x² - 45x

                                    6x² + 24x - 27

                                  - 6x² + 24x - 27

                                                  0

Read more about long division method of polynomials division at; https://brainly.com/question/25289437

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