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Andrej [43]
3 years ago
13

If the segment OP is dilated by a scale factor r=2, what is the length of segment OP?

Mathematics
1 answer:
Zigmanuir [339]3 years ago
7 0
The answer is 4 I think
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Solve kx-2=7 for x. A. x=5/k B. x=9k C. x=9-k D. x=9/k ​
timurjin [86]

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Answer:

y = -3x + 3

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Slope = -3

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Show that cos(3x) = cos3(x) − 3 sin2(x)cos(x). (Hint: Use cos(2x) = cos2(x) − sin2(x) and the cosine sum
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<u>Step-by-step explanation:</u>

To prove:

\cos 3x=\cos^3x-3\sin^2 x\cos x

Identities used:

\cos(A+B)=\cos A\cos B+\sin A\sin B      ......(1)

\sin 2A=2\sin A\cos A        ........(2)

\cos 2A=\cos^2A-\sin^2 A     .......(3)

Taking the LHS:

\Rightarrow \cos 3x=\cos (x+2x)

Using identity 1:

\Rightarrow \cos (x+2x)=\cos x\cos 2x-\sin x\sin 2x

Using identities 2 and 3:

\Rightarrow \cos x(\cos ^2x-\sin^2 x)-\sin x(2\sin x\cos x)\\\\\Rightarrow \cos^3x-\sin^2x\cos x-2\sin^2 x\cos x\\\\\Rightarrow \cos^3x-3\sin^2x\cos x

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3 years ago
Maria drove from Los Angeles (elevation 330 feet) to Death Valley (elevation –282 feet). What is the difference in elevation bet
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Answer:

612 feet

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We let the sea level be at 0 (consider a number line).

So,

LA would be at +330 feet

and

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The elevation change between the two would be the difference:

330 - (-282) = 330 + 282 = 612 feet

The difference in elevation = 612 feet

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