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larisa [96]
3 years ago
9

Determine the average rate of change of the function between the given values of the variable. g(x)=2/x ; x=4, x=a

Mathematics
1 answer:
IrinaK [193]3 years ago
3 0
Average rate of change implies the quotient f(4)-f(a)/4-a which equals (1/2-a/2)/4-a=(1-a)/(8-2a) on (4,a)
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Verify the pythagorean identity 1 + c o t ^2 θ = c s c ^2 θ
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Answer: The identity is verified. See the explanation.

Step-by-step explanation:

You must keep on mind the following identities:

csc\theta=\frac{cos\theta}{sin\theta}\\\\csc\theta=\frac{1}{sin\theta}\\\\sin^2\theta+cos^2\theta=1

Therefore, by substitution, you can rewrite the identity as shown below:

1+cot^2\theta=csc^2\theta\\\\1+\frac{cos^2\theta}{sin^2\theta}=csc^2\theta

Simpliying, you obtain:

\frac{sin^2\theta+cos^2\theta}{sin^2\theta}=csc^2\theta\\\\\frac{1}{sin^2\theta}=csc^2\theta\\\\csc^2\theta=csc^2\theta

The identity is verified.

6 0
3 years ago
What is the simplified form of 4r + 5s – 16r + 3s?
irakobra [83]
Hello!

You can only combine numbers with the same variable

4r - 16r = -12r
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The answer is -12r + 8s

Hope this helps!
8 0
3 years ago
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oksano4ka [1.4K]

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2 years ago
Find the measure of x.<br> X<br> 55°<br> 80<br> X<br> = [ ?<br> ]<br> Round to the nearest tenth.
NARA [144]
<h3>Answer:  139.5</h3>

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(55) = 80/x

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x = 80/cos(55)

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Answer

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