Answer:
The correct answer is the last option.
Step-by-step explanation:
When you have a fraction with complex numbers, the first step to simplify is to multiply up and down the conjugate of the denominator, this will eliminate the complex part of the denominator, and in this way you can separate the expression in its real and complex part.
For the expression:
![\frac{3 + 2i}{4-2i }](https://tex.z-dn.net/?f=%5Cfrac%7B3%20%2B%202i%7D%7B4-2i%0A%7D)
The denominator conjugate is 4 + 2i
When multiplied, the denominator is:
![4 ^ 2 -4i ^ 2 = 16 -4 (-1) = 20](https://tex.z-dn.net/?f=4%20%5E%202%20-4i%20%5E%202%20%3D%2016%20-4%20%28-1%29%20%3D%2020)
Answer:
yep that hurts if u a guy
Step-by-step explanation:
9514 1404 393
Answer:
C
Step-by-step explanation:
You can reflect point x across the origin to find is is just above -1. Adding 3 to that value gives a point just above -1+3 = 2. That's where point C is located.
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<em>Algebraic solution</em>
Algebraically, you can set y = -x +3, and solve for x. That gives you ...
x = 3 -y
Using the relation given at the start:
0 < x < 1
0 < 3 -y < 1 . . . . . substitute for x
Adding y gives ...
y < 3 < y+1
We can separate this into two inequalities:
y < 3, and
3 < y+1
2 < y . . . subtract 1
Now, we have ...
2 < y < 3 . . . . . the location of point C
As you can see, it is much easier to use the number line directly to find the desired point.
5.96 into a fraction = 596/100 or 149.25