(3+4i)*4 = 3*4+4i*4 = 12+16i
The complex number 12+16i is in the form a+bi where a = 12 and b = 16
m = modulus
m = distance from (0,0) to (a,b)
m = sqrt(a^2+b^2)
m = sqrt(12^2+16^2)
m = sqrt(144+256)
m = sqrt(400)
m = 20
Answer: 20
Answer:
We conclude that:

Please also check the attached graph.
Step-by-step explanation:
Given
Given the function

To determine
What is the domain of the function y=-720t + 3600
We know that the domain of the function is the set of input argument values for which the function is real and defined.
Given the function

From the given function, it is clear that the function has no undefined points nor domain constraints.
Therefore, the domain of the function is

Thus, we conclude that:

Please also check the attached graph.
Answer:
x=5
Step-by-step explanation:
2x−7=−3x+18
Step 1: Add 3x to both sides.
2x−7+3x=−3x+18+3x
5x−7=18
Step 2: Add 7 to both sides.
5x−7+7=18+7
5x=25
Step 3: Divide both sides by 5.
5x
5
=
25
5
x=5
Answer: (C) $104
<u>Step-by-step explanation:</u>
The Annual Expenses are:
- Car Insurance = $850
- <u> Books </u>= <u>$400 </u>
Total = $1250
There are 12 months in a year so divide the Annual Expense by 12:
<u> 1 0 4</u>
12 ) 1250
<u> -12↓↓ </u>
5↓
<u> - 0↓ </u>
50
<u> - 48 </u>
2 ← The remainder is less than one-half so don't round up
Answer:
121
Step-by-step explanation:
5x-54=3x+16
5x-3x=16+54
2x=70
x=35
-------
mAB= 5x-54= 5*35-54= 175-54= 121