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4 years ago

What would the other number be?

Mathematics

2 answers:

natita [175]4 years ago

7 0

I do not under stand need more info

anastassius [24]4 years ago

5 0

Really, you'd benefit from drawing this situation. Plot (1,2). Notice that y=2 here. If x remains the same, y moves from 3 units above the horiz. line y = -1 to 3 units below y = -1, and so we have the new point (1,-4).

Now reflect the pt. (1,-4) about y=1. Notice that -4 is 5 units beneath y = 1. So add 5 units to y=1, obtaining y= 6. The new point is (1,6).

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c2*sin(wt)+c1*cos(wt)= A*Sin(wt+phi), where c2=Acos(Phi) and c1=Asin(Phi). They ask me to find the amplitude of the function 2 s

Iteru [2.4K]

The amplitude of $A\sin(\omega t+\phi)$ is the absolute value of $A$ . So first you need to condense the given function into one sine expression.

Recall that

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

so you need to choose $\phi$ and $\omega$ accordingly.

If we line up the terms of the given function with the expanded one above, we should have

$2\sin(4\pi t)+5\cos(4\pi t)\implies\begin{cases}A\cos\phi=2\\A\sin\phi=5\\\omega=4\pi\end{cases}$

Now, using the Pythagorean identity,

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

so the amplitude is √29.

Just for completeness, we also get

$\tan\phi=\dfrac{\sin\phi}{\cos\phi}=\dfrac52\implies\phi=\tan^{-1}\left(\dfrac52\right)+n\pi$

where $n$ is any integer.

7 0

3 years ago

Does 48/144 = 5/15?.......................... I just put the dots because the question has to be 20 characters long sooooooooooo

alexdok [17]

48/144=1/3
5/15=1/3.
As a result, 48/144 does equal 5/15. Hope it help!

6 0

4 years ago

Read 2 more answers

6.1 Define the term inflation.<br>

Harlamova29_29 [7]

Answer:

the action of inflating something or the condition of being inflated.

"the inflation of a balloon"

ASTRONOMY

(in some theories of cosmology) a very brief exponential expansion of the universe postulated to have interrupted the standard linear expansion shortly after the Big Bang.

ECONOMICS

a general increase in prices and fall in the purchasing value of money.

"policies aimed at controlling inflation"

7 0

2 years ago

What is the equation of the line with a slope of -7 and y-intercept of 2?

lana [24]

In y = mx + b form, the slope is represented by m and the y intercept is represented by b

y = mx + b
y = -7x + 2

8 0

3 years ago

Read 2 more answers

Dolores bought 15 party hats priced at $0.75 each and 15 noisemaers priced at

Sindrei [870]

30 bucks hope this helps

8 0

3 years ago