Answer:
Expand it.
(1+2i)^3 is equal to (1+2i)(1+2i)(1+2i).
Multiply everything out (being sure to multiply <em>every</em> term. (1+2i) * (1+2i) = 1+2i+2i+4i^2.
i is the square root of negative one, so i^2 is just -1. 1+2i+2i-4 is what you get from the first two, so now simplify that:
1-4 + 2i+2i = (-3+4i) and now multiply that by (1+2i):
(-3+4i) * (1+2i) = -3 - 6i +4i +8i^2.
Simplify again, and the answer is: -11-2i
Step-by-step explanation:
I hope this helps - really my only tip is don't spend time thinking about what i is, that just hurts your brain. Just remember that i^2 is equal to negative one, and treat it like regular multiplication and you will be fine.
Each digit can be 0-9 ( 10 numbers)
there are 9 numbers in a social security number
multiply 10 nine times:
10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1,000,000,000 ( 1 billion) possibilities.
the restriction is it can't be all zeros so subtract 1 from the total
1,000,000,000 - 1 = 999,999,999 combinations
<h3>
Answer is x = 4</h3>
There is no y as part of the equation. It is a vertical line through 4 on the x axis. Every point on this line has an x coordinate of 4. Recall that all vertical lines have undefined slopes. I picked 4 because it is the x coordinate of the given point (4,7).
The price that does not belong is 16,18.40. You do this by finding the percent gratuity, which is 15%. All the other values have 15% gratuity except the $16.