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Kipish [7]
3 years ago
10

BRAINLIEST ASAP! PLEASE HELP ME :)

Mathematics
1 answer:
Nataly_w [17]3 years ago
5 0

Step-by-step explanation:

\displaystyle y = Asin(Bx - C) + D

According to this trigonometric function, −C gives you the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL:

\displaystyle Phase\:[Horisontal]\:Shift → \frac{\frac{π}{3}}{3} = \frac{π}{9} \\ Period → \frac{2}{3}π

Therefore we have our answer.

Extended Information on the trigonometric function

\displaystyle Vertical\:Shift → D \\ Phase\:[Horisontal]\:Shift → \frac{C}{B} \\ Period → \frac{2}{B}π \\ Amplitude → |A|

NOTE: Sometimes, your vertical shift might tell you to shift your graph below or above the <em>midline</em> where the amplitude is.

I am joyous to assist you anytime.

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If you don't know your Pythagorean Triples, it's worth learning the first few off the list because teachers use them in problems all the time.  But for now let's just exhaustively check the Pythagorean Theorem for each triangle.  We don't have to multiply everything out; we can analyze the common factors.  If two have a common factor that the third one doesn't have, there's no way for the Pythagorean Theorem to add up.

Clearly 5²+15² is a multiple of 5 but 18² isn't so that one isn't a right triangle.

6²+12² is a multiple of 6, 16² isn't a multiple of 6, not an RT.

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