Which of the following choices are equivalent to the expression below? Check all that apply x8/5

Mathematics

1 answer:

Verizon [17]2 years ago

4 0

5 is the denominator of the fraction, so you can pull the denominator out as a radical to get A. (x^8)^1/5 or D. $\sqrt[5]{x^8}$

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I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

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3 years ago

2(3-x)-1.4(5-2x)=2x+5.3

Hitman42 [59]

I think the answer is : x = -5.25

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1 year ago

Read 2 more answers

If I have 500 animals and gave away 267 how much would I have left

skad [1K]

You will have 233 animals left.

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