Answer:

Step-by-step explanation:
We need to evaluate 
(5+6i)(5+6i) = (25 + 36i² + 60i) = (25 - 36 + 60i) = -11 + 60i
= 
Now we rationalize the denominator.
Now, multiplying both the numerator and denominator by (6-i)

= 
Formula used:
(a+b)² = a² + b² + 2ab
i² = -1
The first thing you want to do is combine like terms
4 + 5x = 12x -10
and make x on one side alone
14 = 7x
divide by 7 to make x alone
2 = x
The answer is 2
Answer:
d = 0.0625 m
Step-by-step explanation:
The velocity of an object dropped from a tall building is given by :

Where
d is the distance in feet
We need to find the distance when the velocity is 32 ft/s
Rearranging for d,

Put v = 32 ft/s

So, the required distance is 0.0625 m.
Answer: B
Step-by-step explanation:
If an absolute value of a negative number plus a absolute value of the positive number is positive. Absolute value of anything is positive.