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Yuliya22 [10]
3 years ago
10

-138≥-6(6b-7)║ what is the value of b?

Mathematics
1 answer:
Keith_Richards [23]3 years ago
7 0
-138 <span>≥ -6(6b - 7)

Start by multiplying everything within the parentheses by -6.

-138 </span><span>≥ -36b + 42

Now move the +42 to the other side, so you're left with -36b. (You do this by subtracting 4242)

-138 - 42 </span><span>≥ -36b

-180 </span>≥ -36b

Divide both sides by -36 to find the value of b.

-180 / -36 ≥ b

5 ≥ b.

The answer is b ≤ 5. 


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Step-by-step explanation:

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<h2>Answer:</h2>

\boxed{(5(-\sqrt{2}+\sqrt{6}),5(\sqrt{2}+\sqrt{6}))}

<h2>Step-by-step explanation:</h2>

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x=20cos(5\pi/12)=5\sqrt{6}-5\sqrt{2} \\ \\ Arranging:\\ \\x=5(-\sqrt{2}+\sqrt{6}) \\ \\y=20sin(5\pi/12)=5\sqrt(6)+5\sqrt{2} \\ \\ Arranging:\\ \\y=5(\sqrt{2}+\sqrt{6})

Finally, the exact value of the position of the rider after the carousel rotates 5\pi/12 radians is:

\boxed{(5(-\sqrt{2}+\sqrt{6}),5(\sqrt{2}+\sqrt{6}))}

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------------------

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Hey there!

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