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Mathematics

1 answer:

8090 [49]3 years ago

8 0

Answer:

I thinks its b

Step-by-step explanation:

The pattern is adding 8

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How do you do this function (t - 4)(t + 4)

xz_007 [3.2K]

Answer:

t^2-4^2= t^2-16

(a+b)(a-b)

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4 years ago

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How do i estimate .48

cricket20 [7]

To estimate, we can round to the nearest tenth.

How to round:

5 and above, round up.

4 and below, round down.

0.48 -> 0.5

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3 years ago

Find a, b , and h so that f(x)= a sin (b(x-h))<br> f(x)=5cosx+2sinx

TiliK225 [7]

$a\sin(b(x-h))=a\sin(bx)\cos(bh)-a\cos(bx)\sin(bh)$

For this to be equivalent to $5\cos x+2\sin x$ , you require $b=1$ and

$\begin{cases}a\cos h=2\\-a\sin h=5\end{cases}$

Dividing the second equation by the first gives

$\dfrac{-a\sin h}{a\cos h}=-\tan h=\dfrac52\implies h=\arctan\left(-\dfrac52\right)=-\arctan\dfrac52$

Meanwhile, you also get

$a\cos\left(-\arctan\dfrac52\right)=2\implies a\cos\left(\arctan\dfrac52\right)=\dfrac{2a}{\sqrt{29}}=2\implies a=\sqrt{29}$

So,

$f(x)=5\cos x+2\sin x=\sqrt{29}\sin\left(x+\arctan\dfrac52\right)$