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3 years ago

Due: Today @11:59 (Need) Explanation 3-5 sentences of how you got the answer

Mathematics

1 answer:

kifflom [539]3 years ago

8 0

You can use the pythagorean theorem.

a^2+b^2=c^2

a=9

b=b

c=41

9^2+b^2=41^2

81+b^2=1681

b^2=1600

b=+/-40

but since this is a geometric scenario, answers will only lie in the positive real number set. That's why answer is +40 or C.

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Mars2501 [29]

Answer:

See explanation

Step-by-step explanation:

1. Given the expression

$\dfrac{\sqrt[7]{x^5} }{\sqrt[4]{x^2} }$

Note that

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When dividing $\sqrt[7]{x^5}$ by $\sqrt[4]{x^2},$ we have to subtract powers (we cannot subtract 4 from 7, because then we get another expression), so

$\dfrac{5}{7}-\dfrac{2}{4}=\dfrac{5}{7}-\dfrac{1}{2}=\dfrac{5\cdot 2-1\cdot 7}{14}=\dfrac{3}{14}$

and the result is $x^{\frac{3}{14}}=\sqrt[14]{x^3}$

2. Given equation $3\sqrt[4]{(x-2)^3} -4=20$

Add 4:

$3\sqrt[4]{(x-2)^3} -4+4=20+4\\ \\3\sqrt[4]{(x-2)^3}=24$

Divide by 3:

$\sqrt[4]{(x-2)^3} =8$

Rewrite the equation as:

$(x-2)^{\frac{3}{4}}=8\\ \\(x-2)^{\frac{3}{4}}=2^3$

Hence,

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3 years ago

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Verdich [7]

Answer:

Step-by-step explanation:

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