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:1
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
-2*x+5-(7)<0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
-2x - 2 = -2 • (x + 1)
Equation at the end of step
1
:
STEP
2
:
2.1 Divide both sides by -2
Remember to flip the inequality sign:
Solve Basic Inequality :
2.2 Subtract 1 from both sides
x > -1
Inequality Plot :
2.3 Inequality plot for
-2.000 X - 2.000 > 0
One solution was found :
x > -1
Answer:
4060
Step-by-step explanation:
because 8 percent of 32000 is 2560.
then you add 2560 and 1500 and you get 4060!
hope this helps!!
At 1/8 of a gallon you can mow 2 1/4 so for 1 gallon just multiply 2 1/4 by 8
16+2 is 18
