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mihalych1998 [28]
2 years ago
5

What is the answer to 2+1/6a=-4

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
8 0
2 +  \frac{1}{6} a=-4 \\ \\ 2 +  \frac{a}{6} = -4 \\ \\  \frac{a}{6} = -4 - 2 \\ \\  \frac{a}{6} = -6 \\ \\ a = -6 \times 6 \\ \\ a = -36 \\ \\ Answer: \fbox {a = -36}
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Write the equation of the trigonometric graph.
prisoha [69]

Answer:

f(x)= \sin(6x)+3

Step-by-step explanation:

The parent function of this graph is:  y = sin(x)

The sine function is periodic, meaning it repeats forever.

Standard form of a sine function:

f(x) = \sf A \sin (B(x + C)) + D

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  • C = phase shift (horizontal shift - positive is to the left)
  • D = vertical shift

The parent function y = sin(x) has the following:

  • Amplitude (A) = 1
  • Period = 2π
  • Phase shift (C) = 0
  • Vertical shift (D) = 0
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From inspection of the given graph:

  • Amplitude (A) = 1
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  • Phase shift (C) = 0
  • Vertical shift (D) = +3  (as mid-line is y = 3)

\sf If\:Period=\dfrac{\pi}{3} \implies \dfrac{2 \pi}{B}=\dfrac{\pi}{3}\implies B=6

Substituting the values into the standard form:

\implies f(x) =1 \sin (6(x + 0)) + 3

\implies f(x) = \sin (6x) + 3

Therefore, the equation of the given trigonometric graph is:

f(x)= \sin(6x)+3

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Talja [164]

Answer:

The answer is C

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Since this is a right triangle, we can use trig functions

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Divide each side by cos 57

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Rounding to the nearest tenth

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