Multiply and Divide Complex Numbers

Question 1

The number 4 + i is multiplied by some real number to yield 2 + one-half i . Which equation is true?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/8c8374c27703a24e167c0e964b1fe55b.png

Question 2

Question 170186

Revolt · Accepted Answer

170186

Question 3

15 + 6i✔ 17 - i15 - 6i

Revolt · Accepted Answer

✔ 17 - i

Question 4

✔ 4 - i4 + 2i17 + i17 - i

Revolt · Accepted Answer

✔ 4 - i

Question 5

✔ 3 + i-3 + i-3 - i

Revolt · Accepted Answer

✔ 3 + i

Question 6

Which description of the transformation of z on the complex plane gives the product of [image 1] and [image 2] ?

Revolt · Accepted Answer

scale z by a factor of [image 1] , and then rotate counterclockwise [image 2] radians

Question 7

Which description of the transformation of z on the complex plane gives the quotient of [image 1] and [image 2] ?

Revolt · Accepted Answer

scale z by a factor of and rotate it 5 degrees clockwise

Question 8

What is 3 [cos (60o )+ i sin 60o] • One-half [cos (15o) + i sin (15o)]?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/852284b42629fc42fca497747662ca44.png

Question 9

What is 6[cos(70°) + i sin(70°)] ÷ 2[cos(5°) + i sin(5°)]?

Revolt · Accepted Answer

3[cos(65°) + i sin(65°)]

Question 10

Let a = 3 – 5i and b = –1 + 7i. Which of the following are true statements? Check all that apply.ab = 38 + 16iab = 32 + 26i [image 1] ab = 2 + 2i [image 2] [image 3]

Revolt · Accepted Answer

ab = 32 + 26i; Answer image: //media.edgenuity.com/EVresources/aae0408a7c277ee62a4d47bae6a02ffd.png

Multiply and Divide Complex Numbers Answers

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