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3 years ago

8

Find the vertical asymptotes (if any) of the graph of the function. (Enter your answers as a comma-separated list. Use n as an a

rbitrary nonzero integer if necessary. If an answer does not exist, enter DNE.)
s(t) = 6t/(sin(t))

1 answer:

Rainbow [258]3 years ago

5 0

The vertical asymptotes of s(t) = 6t/(sin(t)) are the values of t for which sin(t) = 0.
Therefore, vertical asymptotes are nπ

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3 years ago

If you add 12 to my number and then multiply the result by 3, you will get 64 more than two-thirds of my number. Find my number.

anastassius [24]

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Step-by-step explanation:

[] First, let's turn all these words into something mathematical. N will equal "my number"

-><u> If you add 12 to my number</u> and then multiply the result by 3, you will get 64 more than two-thirds of my number.

-> n + 12 <u>and then multiply the result by 3</u>, you will get 64 more than two-thirds of my number.

-> 3(n + 12), you will get 64 more than <u>two-thirds of my number</u>.

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-> 3(n + 12) = 64 + $\frac{2n}{3}$

[] Phew, okay. Now it is something we can solve and less scary;

[Given]

3(n + 12) = 64 + $\frac{2n}{3}$

[Distribute]

3n + 36 = 64 + $\frac{2n}{3}$

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Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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3 years ago

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.. h = 8

Selection D is appropriate.

_____
You may see this again. The altitude (h) from the right angle in a right triangle is the geometric mean of segments AD and DC. That is,
.. h = √((AD)*(DC))

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