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kvv77 [185]
3 years ago
8

Help me out please!!!!!

Mathematics
1 answer:
MAVERICK [17]3 years ago
6 0

Answer:

the answer is D

Step-by-step explanation:

that is R ND Q re on the same line as well as S ND

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Which of the following expressions is equal to 5^6/5^2? A) 5 • 5 • 5 • 5 B) 5 • 5 • 5 C) 1/5•5•5•5 D) 3
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Step-by-step explanation: To simplify, we will apply the <em>Quotient Rule</em>.

The 5's in this problem are bases so as you apply the quotient rule,

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We can also write 5⁴ as 5 · 5 · 5 · 5.

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so we know the terminal point is at (9, -3), now, let's notice that's the IV Quadrant

\bf (\stackrel{x}{9}~~,~~\stackrel{y}{-3})\impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{9^2+(-3)^2}\implies c=\sqrt{81+9}\implies c=\sqrt{90} \\\\[-0.35em] ~\dotfill

\bf cos(\theta )=\cfrac{\stackrel{adjacent}{9}}{\stackrel{hypotenuse}{\sqrt{90}}}\implies \stackrel{\textit{rationalizing the denominator}}{\cfrac{9}{\sqrt{90}}\cdot \cfrac{\sqrt{90}}{\sqrt{90}}\implies \cfrac{9\sqrt{90}}{90}}\implies \cfrac{\sqrt{90}}{10}\implies \cfrac{3\sqrt{10}}{10}

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Answer: the answer is x<-4 so the correct answer choice would be D

Step-by-step explanation: Hope this helps :)

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