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lora16 [44]
3 years ago
14

PLEASE PLEASE HELP PLEASE PLEASE

Mathematics
1 answer:
Lilit [14]3 years ago
7 0

Answer:

14.8

Step-by-step explanation:

The Pythagorean theorem applies.

... x² = 7² + 13² . . . . . the square of the hypotenuse is the sum of the squares of the legs

... x² = 218

... x = √218 ≈ 14.8

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Answer:

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Part 2) a=-\frac{1}{4c^{-6}}

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Part 1) we have

a=2b^{3} ----> equation A

b=-\frac{1}{2}c^{-2} ----> equation B

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a=2(-\frac{1}{2}c^{-2})^{3}

Applying property of exponents

(x^{m})^{n}=x^{m*n}

x^{-m} =\frac{1}{x^{m}}

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Part 2) we have

a=2b^{3} ----> equation A

b=-\frac{1}{2c^{-2}}=-\frac{c^{2}}{2} ----> equation B

substitute equation B in equation A

a=2(-\frac{c^{2}}{2})^{3}

Applying property of exponents

(x^{m})^{n}=x^{m*n}

x^{-m} =\frac{1}{x^{m}}

a=2(-\frac{c^{2}}{2})^{3}=2(-\frac{c^{6}}{8})

simplify

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therefore

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