Answer:
Simplifying
(2j + 1) * 9 + -7j = 0
Reorder the terms:
(1 + 2j) * 9 + -7j = 0
Reorder the terms for easier multiplication:
9(1 + 2j) + -7j = 0
(1 * 9 + 2j * 9) + -7j = 0
(9 + 18j) + -7j = 0
Combine like terms: 18j + -7j = 11j
9 + 11j = 0
Solving
9 + 11j = 0
Solving for variable 'j'.
Move all terms containing j to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + 11j = 0 + -9
Combine like terms: 9 + -9 = 0
0 + 11j = 0 + -9
11j = 0 + -9
Combine like terms: 0 + -9 = -9
11j = -9
Divide each side by '11'.
j = -0.8181818182
Simplifying
j = -0.8181818182
Answer:
the absolute value of 5 is simply, 5
Step-by-step explanation:
6x5=30
3x10=30
6+3=9
Hope it helps
Answer:
$700
Step-by-step explanation:
So, I like to extract the information we know and form it into an equation.
So we know that after multiplying what you have in the bank by 4, then add 200 dollars you get two thousand dollars less than a fourth of what's in your dad's bank account.
Your dad has $20,000 in the bank.
Before we write the equation let's find what two thousand less than a fourth of 20,000 is.
20,000/4 = 5,000
Now, 5,000 - 2,000 = 3,000
Ok let's say x is how much money you have
So:
4x + 200 = 3,000
we can isolate the variable by subtracting 200 from both sides
4x = 2,800
then we can divide by 4 on each side
x = 700
so you have $700 in the bank
To find the length of the side of a square when the area is known, find the square root of the area:
Side length = √729
Side Length = 27 feet.
