So, 4/3 - 2i
4/3 - 2i = 12/13 + i8/13
multiply by the conjugate:
3 + 2i/3 + 2i
= 4(3 + 2i)/(3 - 2i) (3 + 2i)
(3 - 2i) (3 + 2i) = 13
(3 - 2i) (3 + 2i)
apply complex arithmetic rule: (a + bi) (a - bi) = a^2 + b^2
a = 3, b = - 2
= 3^2 + (- 2)^2
refine: = 13
= 4(3 + 2i)/13
distribute parentheses:
a(b + c) = ab + ac
a = 4, b = 3, c = 2i
= 4(3) + 4(2i)
Simplify:
4(3) + 4(2i)
12 + 8i
4(3) + 4(2i)
Multiply the numbers: 4(3) = 12
= 12 + 2(4i)
Multiply the numbers: 4(2) = 8
= 12 + 8i
12 + 8i
= 12 + 8i/13
Group the real par, and the imaginary part of the complex numbers:
Your answer is: 12/13 + 8i/13
Hope that helps!!!
Answer:
Q=(1,-5)
R=(5,-5)
S=(2,-7)
Step-by-step explanation:
Night 1-
Wren 12
Jenni 4
Night 2-
Wren 16
Jenni 9
Night 3-
Wren 20
Jenni 14
Night 4-
Wren 24
Jenni 19
Night 5-
Wren 28
Jenni 24
Night 6-
Wren 32
Jenni 29
Night 7-
Wren 36
Jenni 34
Night 8-
Wren 40
Jenni 39
Night 9-
Wren 44
Jenni 44
It would be 9 nights.
Graph using (x) and (y), Wren being (x) and Jenni being (y)
Answer:
<u><em>B</em></u>
Step-by-step explanation:
- <em>4/1 * 1/3</em>
- <em>4 * 1 = 4</em>
- <em>1 * 3 = 3</em>
- <em>4/3; 1 1/3</em>
