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Sagot :
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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