Mathematics: A rectangular prism with a volume of 5x + 13x² + 6x cubic units has a base area of x² + 2x square units. Find the height of the rectangular prism. The height of the prism is units. (Simplify your answer)

A rectangular prism with a volume of 5x + 13x²

Ответ:

anaroles04

17.03.2022

Mathematics

h = 5x + 3

Step-by-step explanation:

I believe the volume should be $5x^{3} + 13x^{2} + 6x$ in the question. Based on the correction:

$V = 5x^{3} + 13x^{2} + 6x\\A = x^{2} + 2x\\V = A.h\\h = \frac{V}{A} = \frac{5x^{3} + 13x^{2} + 6x}{x^{2} + 2x} = \frac{x(5x^{2}+13x+6}{x(x+2)}=\frac{5x^{2}+13x+6}{x+2} = \frac{(x+2)(5x+3)}{x+2} = 5x+3$

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Ответ:

Michaelab

17.03.2020

Mathematics

(x + 4)(x - 3)

Step-by-step explanation:

Given

x² + x - 12

Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (+ 1)

The factors are + 4 and - 3 , since

4 × - 3 = - 12 and 4 - 3 = + 1 , then

x² + x - 12 = (x + 4)(x - 3) ← in factored form

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A rectangular prism with a volume of 5x + 13x² + 6x cubic units has a base area of x² + 2x square units. Find the height of the rectangular prism. The height of the prism is units.
(Simplify your answer)

Ответ:

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