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3 years ago

What are the angles of rotation for a 20-gon?

Mathematics

2 answers:

Ierofanga [76]3 years ago

5 0

The sum of the internal angles is 18*180=3240
3240\20=162 degrees.

Basile [38]3 years ago

4 0

There are 360 degrees so divide 360 by 20 and get 18 degrees

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For the equation -4y = 8x , what is the constant of variation?

Inga [223]

-4y = 8x

Divide both sides by -4

y = -2x

This is in the form of y = kx, where k is the constant of variation.
y = kx is the direct

That means, k = -2.

The constant of variation is B. -2.

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ArbitrLikvidat [17]

The correct answer to this question is Option (4).

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mash [69]

Answer:

Step-by-step explanation:

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2 years ago

Find the inverse of the following function. Then prove they are inverses of one another.

solmaris [256]

Answer: $\dfrac{x^2+1}{2}$

Step-by-step explanation:

Given

$f(x)=\sqrt{2x-1}$

We can write it as

$\Rightarrow y=\sqrt{2x-1}$

Express x in terms of y

$\Rightarrow y^2=2x-1\\\\\Rightarrow x=\dfrac{y^2+1}{2}$

Replace y be x to get the inverse

$\Rightarrow f^{-1}(x)=\dfrac{x^2+1}{2}$

To prove, it is inverse of f(x). $f(f^{-1}(x))=x$

$\Rightarrow f(f^{-1}(x))=\sqrt{2\times \dfrac{x^2+1}{2}-1}\\\\\Rightarrow f(f^{-1}(x))=\sqrt{x^2+1-1}\\\\\Rightarrow f(f^{-1}(x))=x$

So, they are inverse of each other.

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3 years ago