plex Numbers Simplify. 1. V-36 2. V-8 V-32 3. V-15 V-25

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 43E
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Question
NAME
4-4
DATE
PERIOD
Practice
Complex Numbers
Simplify.
1. V-36
2. V-8 V-32
3. V-15 V-25
4. (-3i)(4i)(-5i)
5. (7i"(6i)
6. 42
7. is
8. 0
9. (5 – 2i) + (-13 - 8i)
10. (7 - 6i) + (9 + 11i)
11. (-12 + 48i) + (15 + 21i)
12. (10 + 15i) - (48 - 30i)
Ooas
13. (28 - 4i) – (10 – 30i)
14. (6 - 4i) (6 + 4i)
15. (8 - 11i)(8 – 11i)
18. 6 + 5i
-2i
16. (4 + 3i)(2 – 5i)
17. (7 + 2i) (9 - 6i)
19.7- si
20. 올는
21, 2 - 4i
1+ 3i
Solve each equation.
22. 5n2 + 35 = 0
23. 2m2 + 10 = 0
24. 4m² + 76 = 0
25. -2m2 – 6 = 0
26. -5m2 – 65 = 0
27.
x* + 12 = 0
Find the values of l and m that make each equation true.
28. 15 - 28i = 3l + (4m)i
29. (6 – l) + (3m)i = –12 + 27i
30. (3l + 4) + (3 – m)i = 16 – 3i
31. (7 + m) + (4l – 10)i = 3 – 6i
32. ELECTRICITY The impedance in one part of a series circuit is 1 + 3j ohms and the
impedance in another part of the circuit is 7 - 5j ohms. Add these complex numbers to
find the total impedance in the circuit.
33. ELECTRICITY Using the formula E = IZ, find the voltage E in a circuit when the current
I is 3 - j amps and the impedance Z is 3 + 2j ohms.
Chapter 4
27
Glencoe Algebra 2
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hi
Lorson 4-4
Transcribed Image Text:NAME 4-4 DATE PERIOD Practice Complex Numbers Simplify. 1. V-36 2. V-8 V-32 3. V-15 V-25 4. (-3i)(4i)(-5i) 5. (7i"(6i) 6. 42 7. is 8. 0 9. (5 – 2i) + (-13 - 8i) 10. (7 - 6i) + (9 + 11i) 11. (-12 + 48i) + (15 + 21i) 12. (10 + 15i) - (48 - 30i) Ooas 13. (28 - 4i) – (10 – 30i) 14. (6 - 4i) (6 + 4i) 15. (8 - 11i)(8 – 11i) 18. 6 + 5i -2i 16. (4 + 3i)(2 – 5i) 17. (7 + 2i) (9 - 6i) 19.7- si 20. 올는 21, 2 - 4i 1+ 3i Solve each equation. 22. 5n2 + 35 = 0 23. 2m2 + 10 = 0 24. 4m² + 76 = 0 25. -2m2 – 6 = 0 26. -5m2 – 65 = 0 27. x* + 12 = 0 Find the values of l and m that make each equation true. 28. 15 - 28i = 3l + (4m)i 29. (6 – l) + (3m)i = –12 + 27i 30. (3l + 4) + (3 – m)i = 16 – 3i 31. (7 + m) + (4l – 10)i = 3 – 6i 32. ELECTRICITY The impedance in one part of a series circuit is 1 + 3j ohms and the impedance in another part of the circuit is 7 - 5j ohms. Add these complex numbers to find the total impedance in the circuit. 33. ELECTRICITY Using the formula E = IZ, find the voltage E in a circuit when the current I is 3 - j amps and the impedance Z is 3 + 2j ohms. Chapter 4 27 Glencoe Algebra 2 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hi Lorson 4-4
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