AnswersNC-Math 4 CRAdd and Subtract Complex Numbers

Add and Subtract Complex Numbers Answers

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Consider z1 = 4 – 4 i and z2 = –16i. What is z1 – z2?

Question illustration
A
4 – 12
Option A
B
4 + 12
Option B
C
4 – 4( – 4)i
Option C
D
4 + 4 ( – 4)i
Option D
2
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Review the graph.

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A
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Review the graph.

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A
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Review the graph.

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A
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5

Consider and z = 1(cos(60°) + isin(60°)). What is w + z expressed in rectangular form?

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StartFraction StartRoot 3 EndRoot minus 1 Over 4 EndFraction i
Option A
B
StartFraction StartRoot 3 EndRoot + 1 Over 4 EndFraction i
Option B
C
StartFraction StartRoot 3 EndRoot minus 1 Over 2 EndFraction i
Option C
D
StartFraction StartRoot 3 EndRoot + 1 Over 2 EndFraction i
Option D
6

Given w1 = –2 + 3i and w2 = 4 – 4i, which complex number can be added to w1 to produce w2?

A
6 – i
B
–6 – i
C
6 – 7i
D
–6 + 7i
7

Review the graph.

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A
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B
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C
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D
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What is the sum of – i and 2 – i?

Question illustration
A
(2 + ) – (1 – )i
Option A
B
(2 + ) – (1 + )i
Option B
C
(2 + ) + (1 + )i
Option C
D
(2 + ) + (1 – )i
Option D
9

Consider w1 = 4 – 4i and w2 = –2. What is w2 – w1?

A
2 – 4i
B
2 + 4i
C
–6 + 4i
D
–6 – 4i
10

Consider w1 = –3i and w2 = –2. What is the result of subtracting w2 from w1?

A
i
B
–i
C
2 – 3i
D
–2 + 3i

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