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alexgriva [62]
2 years ago
6

Give the exact form and decimal form of the equation

Mathematics
1 answer:
Svet_ta [14]2 years ago
5 0

Answer:

Exact form: \sin{(6x)} = \frac{8}{9}

Decimal form: \sin{(6x)} = 0.8889

The solution for x is: The solution for x is of 10.455º

Step-by-step explanation:

We are given the following equation:

8 = 9\sin{(6x)}

Placing into the desired format, the exact format is:

\sin{(6x)} = \frac{8}{9}

In the decimal part, we divide 8 by 9. So

\sin{(6x)} = 0.8889

Solving for x:

We apply the inverse sine. So

\sin^{-1}{\sin{(6x)}} = \sin^{-1}{0.8889}

6x = 62.73

x = \frac{62.73}{6}

x = 10.455

The solution for x is of 10.455º

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See attachment for the graph of the hyperbola 12x^2 - 3y^2 - 108 = 0

<h3>How to graph the hyperbola?</h3>

The equation of the hyperbola is given as:

12x^2 - 3y^2 - 108 = 0

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<u>Transverse axis</u>

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<u>The vertices</u>

In the above section, we have:

The vertices of the given hyperbola are (0, 0)

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See attachment for the graph of the hyperbola

Read more about hyperbola at:

brainly.com/question/26250569

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Step-by-step explanation:

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