Answer:
It looks like 45 degree for the one on the left and maybe 180 degrees on the right (i'm not sure tbh) but those are my guesses
The reference angle is
pi/3.
At 180 it would be 9pi/3 so going past that is 10pi/3.
Answer:
C)
Step-by-step explanation:
16x - 7 = 11x - 32
16x - 11x = -32 + 7
5x = -25
x = -5
__________________________________________________
-4x - 10 = 2x + 20
-4x - 2x = 20 + 10
-6x = 30
x = -5
The second answer from the top is correct. The minus 5 means to move 5 to the right and the plus 2 means to move the graph up 2 units. Hope this helps!
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