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sergey [27]
3 years ago
7

Factor the expression x2 - 49. A. 7(x² – 7) B. 7.(2-7) C. 2+7(2-7) D. (x + 7)(x-7)

Mathematics
1 answer:
NISA [10]3 years ago
6 0
X^2 - 49 = (x + 7)(x - 7) = x^2 - 7x + 7x = 49 = x^2 - 49
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Answer:

A. 16.55

Step-by-step explanation:

What we know is the angle of 38° and the hypotenuse is 21. Before we find x (side b), we have to find side a first. TO find that multiply the sine of 38 by 21.

21 * sin(38)

<em>sin(38) calculates to 0.615661475.</em>

21 * 0.615661475

<em>Multiply 21 by 0.615661475</em>

side a = 12.928890975

Now to find x. Use this to find x: √21² - 12.928890975²

√21² - 12.928890975²

<em>Square both numbers</em>

√441 - 167.156221843

<em>Subtract 167.156221843 from 441</em>

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<em>Find the square root of 273.843778157</em>

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x ≈ 16.55, so the answer is A.

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Answer:

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Step-by-step explanation:

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Answer:

\frac{(p + 2)m}{p}

Step-by-step explanation:

Given

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Required

Cups of water required for p + 2 cups of rice

<em>The question shows a direct proportion between cups of rice and cups of water.</em>

<em>So, the first step is to get the proportionality constant (k)</em>

<em />

This is calculated using the following expression;

m = k * p

Where k represents cups of water and p represents cups of rice

Make k the subject of formula

k = \frac{m}{p}

Let x represents cups of water when cups of rice becomes p + 2;

k becomes:

k = \frac{x}{p + 2}

Equate both expressions of k; to give

\frac{m}{p} = \frac{x}{p + 2}

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