Simplify the following:5 i/(3 i + 2)^2
(3 i + 2)^2 = 4 + 6 i + 6 i - 9 = -5 + 12 i:(5 i)/12 i - 5
Multiply numerator and denominator of (5 i)/(12 i - 5) by 5 + 12 i:(5 i (12 i + 5))/((12 i - 5) (12 i + 5))
(12 i - 5) (12 i + 5) = -5×5 - 5×12 i + 12 i×5 + 12 i×12 i = -25 - 60 i + 60 i - 144 = -169:(5 i (12 i + 5))/-169
i (12 i + 5) = -12 + 5 i:(5 5 i - 12)/(-169)
Multiply numerator and denominator of (5 (5 i - 12))/(-169) by -1:Answer: (-5 (5 i - 12))/169
Answer:
x = 21/4
Step-by-step explanation:
re-arrange the equation
-4+5x-7-3x = 10-2x (move 3x to the other side)
-4+5x-7-3x+2x = 10 (move 2x to the other side)
5x-7-3x+2x = 10+4 (move 4 to the other side)
5x-3x+2x = 10+4+7 (move 7 to the other side)
4x = 21 (add up both sides)
x = 21/4 (divide both sides by 4
Answer:
12:47 PM
Step-by-step explanation:
Add 3 to 9 and add 22 to 25.
Make sure your answer is PM and not AM