Answer:The first one is 2.333333333
Step-by-step explanation:Simplifying
5(2 + -1j) + (2j + -3) = 0
(2 * 5 + -1j * 5) + (2j + -3) = 0
(10 + -5j) + (2j + -3) = 0
Reorder the terms:
10 + -5j + (-3 + 2j) = 0
Remove parenthesis around (-3 + 2j)
10 + -5j + -3 + 2j = 0
Reorder the terms:
10 + -3 + -5j + 2j = 0
Combine like terms: 10 + -3 = 7
7 + -5j + 2j = 0
Combine like terms: -5j + 2j = -3j
7 + -3j = 0
Solving
7 + -3j = 0
Solving for variable 'j'.
Move all terms containing j to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + -3j = 0 + -7
Combine like terms: 7 + -7 = 0
0 + -3j = 0 + -7
-3j = 0 + -7
Combine like terms: 0 + -7 = -7
-3j = -7
Divide each side by '-3'.
j = 2.333333333
Simplifying
j = 2.333333333
Answer: 3
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Explanation:
Using a calculator, you should find that
233/999 = 0.233233233233...
the "233" repeats forever. We see that there are 3 digits here, which is the answer.
Answer:
y = (1/2)x + 7
Step-by-step explanation:
recall that the general form of a linear equation in slope-intercept from is:
y = mx + b, where m = slope and b = y-intercept
in this case we are give the values for both
m = 1/2 and b = 7
hence simply substituting this into the general equation:
y = (1/2)x + 7
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.