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.
Answer:
32.99
Step-by-step explanation:(you might have to round) if you have to round it or.. but this is it because
236.40 divided by 24 is 9.85 so
325 divided by 9.85 is 32.99 (you only need 2 decimal places for these kinds of questions because of repeating decimals).
Hope this helps :)
Check the picture below, you can pretty much count the units off the grid.
recall that the area of a triangle is A = (1/2)bh.
Answer: $36.3
Step-by-step explanation:
Since Christopher bought 3 toy trucks that costs $14.25 each. Then, the cost of the three toys will be:
= 3 × $14.25
= $42.75
Then, if he used a coupon for 15% off of the total purchase, then the final purchase will be:
= $42.75 - (15% × $42.75)
= $42.75 - (0.15 × $42.75)
= $42.75 - $6.4125
= $36.3375
= $36.3
Answer:
5.1 days
Step-by-step explanation:
Cross Multiply
Divide both sides of the equation by 3.4
