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Evgesh-ka [11]
2 years ago
12

Use substitution to solve the following system of equations. What is the value of y?

Mathematics
1 answer:
koban [17]2 years ago
5 0
The answer is C. I solved for the first variable in one of the equations then substitute the result into the other equation.
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Find the fifth roots of 243(cos 240° + i sin 240°).
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Answer:

See below.

Step-by-step explanation:

Fifth root of 243 = 3,

Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),

then r^5( cos  Ф  + i sin  Ф )^5 = 243(cos 240 + i sin 240).

Equating equal parts and using de Moivre's theorem:

r^5 =243  and  cos  5Ф  + i sin  5Ф = cos 240 + i sin 240

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So there are 5 distinct solutions given by:

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Y = 1/6x + 8 <br><br> Identify the y intercept?
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(0,8)

Step-by-step explanation:

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