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Zinaida [17]
2 years ago
9

7(g + 2h) What is an equivalent expression

Mathematics
2 answers:
rusak2 [61]2 years ago
7 0

Answer:

7g + 14h

Step-by-step explanation:

What is an equivalent expression?

7(g + 2h)

7(g) + 7(2h) <== multipe both terms by 7

7g + 14h

Hope this helps!

nika2105 [10]2 years ago
5 0

Answer:

7g+14h

Step-by-step explanation:

hope it helped you

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Write each expression as an algebraic​ (nontrigonometric) expression in​ u, u &gt; 0.
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Answer:

\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0

Step-by-step explanation:

We want to write the trignometric expression:

\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)

Take the secant of both sides:

\displaystyle \sec(\theta)=\frac{u}{10}

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

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By substitutition:

\displaystyle= \sin(2\theta)

Using an double-angle identity:

=2\sin(\theta)\cos(\theta)

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)

Simplify. Therefore:

\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0

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Step-by-step explanation:

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