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Tanya [424]
3 years ago
14

Select ALL the correct answers.

Mathematics
1 answer:
IgorC [24]3 years ago
7 0

Answer:

A. 4(x - 4) + 2(3x² + 3x - 20)

C. (11x² + 7x - 55)-(5x² - 3x + 1)

F. (3x² + 5x - 28) + (3x² + 5x - 28)

Step-by-step explanation:

Given:

(3x-7)(2x+8)

= 6x² + 24x - 14x - 56

=6x² + 10x - 56

A. 4(x - 4) + 2(3x² + 3x - 20)

= 4x - 16 + 6x² + 6x - 40

= 6x² + 10x - 56

B. (3x² + 5x - 28) - (2x² + 4x + 28)

= 3x² + 5x - 28 - 2x² - 4x - 28

= x² + x - 56

C. (11x² + 7x - 55)-(5x² - 3x + 1)

= 11x² + 7x - 55 - 5x² + 3x - 1

= 6x² + 10x - 56

D. 4(x - 4) - 2(3x² + 3x - 20)

= 4x - 16 - 6x² - 6x + 40

= - 6x² - 2x + 24

E. (11x² + 7x - 55)-(5x² - 3x + 2)

= 11x² + 7x - 55 - 5x² + 3x - 2

= 11x² - 5x² + 7x + 3x - 55 - 2

= 6x² + 10x - 57

F. (3x² + 5x - 28) + (3x² + 5x - 28)

= 3x² + 5x - 28 + 3x² + 5x - 28

= 6x² + 10x - 56

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Answer:

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Step-by-step explanation:

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3 0
3 years ago
A pyramid has a square base with sides of length s. The height of the pyramid is equal to - of the length of a side on the base.
Vera_Pavlovna [14]
<h3><u>Question:</u></h3>

A pyramid has a square base with sides of length s. The height of the pyramid is equal to 1/2 of the length of a side on the base. Which formula represents the volume of the pyramid?

<h3><u>Answer:</u></h3>

<em><u>The formula represents the volume of the pyramid is:</u></em>

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<h3><u>Solution:</u></h3>

<em><u>The volume of square pyramid is given by formula:</u></em>

V = \frac{1}{3} a^2h

Where, "h" is the height of pyramid

"a" is the length of side of base

Here given that, pyramid has a square base with sides of length s

Therefore,

a = s

The height of the pyramid is equal to 1/2 of the length of a side on the base

h = \frac{1}{2} \times s\\\\h = \frac{s}{2}

<em><u>Thus the volume of pyramid becomes:</u></em>

V = \frac{1}{3} \times s^2 \times \frac{s}{2}\\\\V = \frac{s^3}{6}

\boxed{V=\frac{1}{6}s^3}

Thus the  formula  represents the volume of the pyramid is \frac{s^3}{6}

5 0
4 years ago
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jeka94
Your answer should be 12.57
8 0
3 years ago
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