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zhannawk [14.2K]
3 years ago
7

Simpfly by dividing [-5/8] divided by [-3/4]

Mathematics
1 answer:
Leya [2.2K]3 years ago
7 0

Answer:

-5/-6

Step-by-step explanation:

you just need to flip the second one around and multiply across afterwards

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PLEASE HELP I DO NOT UNDERSTAND AT ALL ITS PRECALC PLEASE SERIOUS ANSWERS
Elina [12.6K]

You want to end up with A\sin(\omega t+\phi). Expand this using the angle sum identity for sine:

A\sin(\omega t+\phi)=A\sin(\omega t)\cos\phi+A\cos(\omega t)\sin\phi

We want this to line up with 2\sin(4\pi t)+5\cos(4\pi t). Right away, we know \omega=4\pi.

We also need to have

\begin{cases}A\cos\phi=2\\A\sin\phi=5\end{cases}

Recall that \sin^2x+\cos^2x=1 for all x; this means

(A\cos\phi)^2+(A\sin\phi)^2=2^2+5^2\implies A^2=29\implies A=\sqrt{29}

Then

\begin{cases}\cos\phi=\frac2{\sqrt{29}}\\\sin\phi=\frac5{\sqrt{29}}\end{cases}\implies\tan\phi=\dfrac{\sin\phi}{\cos\phi}=\dfrac52\implies\phi=\tan^{-1}\left(\dfrac52\right)

So we end up with

2\sin(4\pi t)+5\cos(4\pi t)=\sqrt{29}\sin\left(4\pi t+\tan^{-1}\left(\dfrac52\right)\right)

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3 years ago
What is the solution (x, y) to the following system of equations below?
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The answer is x=3 and y=-8
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There is only one solution on the first one since you can't get 5 any other time then it being 7.

on the other one all real numbers above 7 are answers since after x is 7 it will be greater the. 5 always.
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