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taurus [48]
3 years ago
7

Can someone please check to make sure I got this correct? I would appreciate if you showed your work so that I could compare wit

h my work. Thank you!

Mathematics
1 answer:
dmitriy555 [2]3 years ago
8 0

Answer:

-4

Step-by-step explanation:

[√2(cos(3π/4) + i sin(3π/4))]⁴

(√2)⁴ (cos(3π/4) + i sin(3π/4))⁴

4 (cos(3π/4) + i sin(3π/4))⁴

Using De Moivre's Theorem:

4 (cos(4 × 3π/4) + i sin(4 × 3π/4))

4 (cos(3π) + i sin(3π))

3π on the unit circle is the same as π:

4 (cos(π) + i sin(π))

4 (-1 + i (0))

-4

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Select the correct first step to solve the follow equation: −4(x−5)=−7x+10
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Answer:

x = -10/3

Step-by-step explanation:

−4(x−5)=−7x+10

Use the distributive property to multiply −4 by x−5.

−4x+20=−7x+10

Add 7x to both sides.

−4x+20+7x=10

Combine −4x and 7x to get 3x.

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Subtract 20 from 10 to get −10.

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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