Add and Subtract Complex Numbers

Question 1

What is 2 + 2i in polar form?

Revolt · Accepted Answer

C:

Question 2

Drag the point A to the location indicated in each scenario to complete each statement.

Revolt · Accepted Answer

C: quadrant III

Question 3

Let z = (4 + 2i). Which graph represents 2z?

Revolt · Accepted Answer

D:

Question 4

Let z = 3 + 2i and w = 4 + i. What best describes the geometric construction of the product z times w on the complex plane?

Revolt · Accepted Answer

A: z is stretched by a factor of and rotated 14° counterclockwise

Question 5

The product is (cos(°) + i sin(°)).

Revolt · Accepted Answer

C: 10

Question 6

Which of the following is true regarding the quotient of ? Check all that apply.The real part of the quotient is 5.The real part of the quotient is –5.The imaginary part of the quotient is 1.The imaginary part of the quotient is –1.The quotient is located in quadrant I.The quotient is located in quadrant IV.

Revolt · Accepted Answer

A: The real part of the quotient is 5.; D: The imaginary part of the quotient is –1.; F: The quotient is located in quadrant IV.

Question 7

Let z = 3(cos(15°) + i sin(15°)) and w = 5(cos(90°) + i sin(90°)). What best describes the geometric construction of the quotient on the complex plane?

Revolt · Accepted Answer

A: z is scaled by a factor of and rotated 90 degrees clockwise.

Question 8

The quotient of is (cos(°) + i sin(°).

Revolt · Accepted Answer

A: 5

Question 9

Drag the point A to the location indicated in each scenario to complete each statement.

Revolt · Accepted Answer

B: quadrant II

Question 10

The product is (cos(°) + i sin(°)).

Revolt · Accepted Answer

D: 75

Add and Subtract Complex Numbers Answers

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