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nadya68 [22]
2 years ago
7

The volume of a rectangular prism is given by the expression10x3 + 46x2 – 21x – 27. The area of the base of the prism is given b

y 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
Mathematics
2 answers:
kondor19780726 [428]2 years ago
8 0
H = V / B
<span>= 10x3 + 46x2 – 21x – 27 /  2x^2 + 8x - 9
</span>= 5x + 3
azamat2 years ago
6 0

Answer

option (c) is correct .

To proof

Reason

Formula

Volume of the rectangular prism = Base × Height

The expression is in the Question be

10x ³ + 46 x² - 21x -27

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

2x² + 8x - 9 .

Put in the formula

10x ³ + 46 x² - 21x -27  = 2x² + 8x - 9  × Height

The factor of 10x ³ + 46 x² - 21x -27 are (5x +3 )(2x² + 8x - 9) .

put in the formula

(5x +3 )(2x² + 8x - 9) = (2x² + 8x - 9) × Height

Cancelled 2x² + 8x - 9 on both side.

(5x+3)unit = Height

Hence proved

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1 year ago
Is AB parallel to Bo? Explain.
Svetradugi [14.3K]

Answer:

AB parallel to CD because both lines have a slope of

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Step-by-step explanation:

The question is not complete, there is no graph.

A graph for the question is attached below.

From the image attached below, line 1 passes through points A = (-3, -3) and point B = (0, 1) while line 2 passes through point C = (0, -5) and point D = (3, -1).

Two parallel are said to be parallel if the have the same slope. The slope of a line passing through points:

(x_1,y_1)\ asnd\ (x_2,y_2).\ The\ slope \ is\ given\ as:\\\\Slope(m)=\frac{y_2-y_1}{x_2-x_1}

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Slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{1-(-3)}{0-(-3)}=\frac{1+3}{0+3}=\frac{4}{3}

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7 0
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Corrected Question

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Step-by-step explanation:

The Volume of a sphere of radius r can be found using the formula:

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The correct option is B.

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