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:
Step-by-step explanation:
(x - 7)/2= -4
x - 7 = -8
x = -1
(y - 6)/2= -7
y - 6 = -14
y = -8
(-1, -8)
Well If you tell me what you're solving for I can probably help
Answer:
x-intercept = (-4/35, 0)
y-intercept = (0, 4).
Step-by-step explanation:
x intercept occurs when y = 0 so
35x + 4 = 0
x = -4/35.
Y - intercept ( when x = 0):
y = 35(0) + 4 = 4.
It’s prime because none of the other answers work.