Answer:
Yes, her calculation is correct. The value of 40% of 75 is 30.
Step-by-step explanation:
The value of 40% of 75 is

The value of
of 75 is

From the above calculation it is noticed that the value of 40% of 75 and
of 75 are same, therefore the calculation is correct and the value of 40% of 75 is 30.
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
Answer:
y = 3x + 1
Step-by-step explanation:
Since we know the Graph is Parallel to y = 3x + 11, we know that the "mx" portion of the equation is 3x since only the "b" would be different.
Then we just substitute in the point and to find b.
4 = 3(1) + b
b = 1
y = 3x + 1 is the answer