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Sidana [21]
2 years ago
5

What is the midline equation for the function h(x)=−3cos(πx+2)−6?

Mathematics
1 answer:
Rus_ich [418]2 years ago
6 0

Answer:

y = -6

Step-by-step explanation:

y=acos(bx+c)+d

d = -6  .. vertical shift

midline: y = -6

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Can you please Find 3/4- 75/n
nlexa [21]

Answer:

3n-300/4n

Step-by-step explanation:

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3 years ago
Two Trains left a station at the same time. One traveled north at a certain speed and the other traveled south at twice that spe
sashaice [31]
Let s = northbound train
Then
2s = southbound train
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Distance = time * speed
4s + 4(2s) = 600
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4s + 8s = 600
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12s = 600
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s = 600/12
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s = 50 mph is the northbound train
Then
2(50) = 100 mph is the southbound train
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Check:
4(50) + 4(100) = 600
3 0
3 years ago
Read 2 more answers
In the right triangle shown, find x.
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Answer:

b

Step-by-step explanation:

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2 years ago
Please Help!!<br><br>Use Euler’s formula to write in exponential form.
LekaFEV [45]

Answer:

C, 4e^{i(7\pi/4)}

Step-by-step explanation:

To remind you, Euler's formula gives a link between trigonometric and exponential functions in a very profound way:

e^{ix}=\cos{x}+i\sin{x}

Given the complex number 2\sqrt{2}-2i\sqrt{2}, we want to try to get it in the same form as the right side of Euler's formula. As things are, though, we're unable to, and the reason for that has to do with the fact that both the sine and cosine functions are bound between the values 1 and -1, and 2√2 and -2√2 both lie outside that range.

One thing we could try would be to factor out a 2 to reduce both of those terms, giving us the expression 2(\sqrt{2}-i\sqrt{2})

Still no good. √2 and -√2 are still greater than 1 and less than -1 respectively, so we'll have to reduce them a little more. With some clever thinking, you could factor out another 2, giving us the expression 4\left(\frac{\sqrt{2}}{2} -i\frac{\sqrt{2}}{2}\right) , and <em>now </em>we have something to work with.

Looking back at Euler's formula e^{ix}=\cos{x}+i\sin{x}, we can map our expression inside the parentheses to the one on the right side of the formula, giving us \cos{x}=\frac{\sqrt2}{2} and \sin{x}=-\frac{\sqrt2}{2}, or equivalently:

\cos^{-1}{\frac{\sqrt2}{2} }=\sin^{-1}-\frac{\sqrt2}{2} =x

At this point, we can look at the unit circle (attached) to see the angle satisfying these two values for sine and cosine is 7π/4, so x=\frac{7\pi}{4}, and we can finally replace our expression in parentheses with its exponential equivalent:

4\left(\frac{\sqrt2}{2}-i\frac{\sqrt2}{2}\right)=4e^{i(7\pi/4)}

Which is c on the multiple choice section.

4 0
3 years ago
Which of the following decimals is equivalent to three and ten hundreths?
9966 [12]
3.01 is the correct answer

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3 years ago
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