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: THIRD OPTION.
Step-by-step explanation:
The Associative property of addition states that when three or more numbers are added, it does not matter how they are grouped, the sum is the same. Then:

Based on this and having the expression
, we can apply the Associative property as following:

Therefore, the expression that illustrates the Associative property of addition is the one shown in the Third option.
Your answer to 100×6 is 600
Answer:
In my knowledge
Option A
and I am 100% sure
explanation:
Continuous graphs are graphs where there is a value of y for every single value of x, and each point is immediately next to the point on either side of it so its option A