Answer:
- 0.5 + 2.985i
- 1 + 2.828i
- 1.5 + 2.598i
- 2 + 2.236i
Explanation:
Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.
Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.
The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:
Then, the work consists in finding pairs (a,b) for which:
You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:

I will use b =0.5, b = 1, b = 1.5, b = 2

Then, four distinct complex numbers that have an absolute value of 3 are:
- 0.5 + 2.985i
- 1 + 2.828i
- 1.5 + 2.598i
- 2 + 2.236i
Step-by-step explanation:

( vertically opposite angles)



Answer:
Table B
Step-by-step explanation:
If you see any number in the input being used more than once, it is not a function. If all numbers of the input are different, it is a function.
Only Table B is a function since all input numbers are different.
Answer:
x = 11
Step-by-step explanation:
2(x - 5) = 12 ← divide both sides by 2
x - 5 = 6 ( add 5 to both sides )
x = 11