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Nady [450]
3 years ago
7

Simplify. 2√6−4√24+√96What is the greatest common factor of 12xy^5+60x^4y^2−24x^3y^3?

Mathematics
1 answer:
Anon25 [30]3 years ago
6 0

Answer:

greatest common factor is 12xy² .

Step-by-step explanation:

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Solve the following problems.<br> Find x, y
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Step-by-step explanation:

by using similarity and enlargement

10/8 = 7+y/7

70=56+8y

8y=14

y= 7/4

10/8 = 5+x/5

50=40+8x

x = 8/10 = 4/5

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What is the general equation of a sine function with an amplitude of 6, a period of... and a horizontal shift of...?
charle [14.2K]

Step-by-step explanation:

I think I'm a little too late to answer this question, but I'm still going to give you a basic sin function to show you where to find these things :)

f(x)=a sin (px)+s

I put the variables corresponding to their appropriate word.

(a=amplitude, p=period, s=shift)

You can find the amplitude <u>in front</u> of the sin (or cos, tan, cot, etc). The amplitude is always the first number presented in a trig function.

You find the period by taking the number paired with the x and dividing 2π by it. ( \frac{2\pi }{p} ) In this case, you're looking for a period of \frac{\pi }{4} which means that you would be dividing the 2π by 8 (\frac{2\pi }{8} =\frac{\pi }{4} )

The shift is always added at the <u>end</u> of the function.

- For vertical shifts, the shift is added separately as it's own individual value. (A good example would be the last option in your sc; y=6sin(8x)+\frac{\pi }{2}).

- For horizontal shift, the shift is joined with the x in the parentheses. If you want to think about it this way, the horizontal axis is the x-axis. Therefore, it makes sense that if it's a horizontal shift, the shift will be with the x.

Using all this information, we can determine that the answer has to have a 6 in front of it, an 8 multiplied with the x, and a \frac{\pi }{2} in parentheses with the x.

Your final answer should be the 3rd option, y=6sin(8(x-\frac{\pi }{2} ))

Answer:

y=6sin(8(x-\frac{\pi }{2} ))

5 0
4 years ago
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