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:
y=(5/2)x+14
Use the slope formula and slope-intercept form y=mx+b to find the equation
Answer:
h is directly proportional to B and inversely proportional to A
Step-by-step explanation:
Answer:
To shift right 5 units equation needs to be: y=0.5(x-<u>5</u>)^2
To shift left 5 units equations needs to be y=0.5(x+<u>5</u>)^2
To shift up 5 units equation need to be y=0.5x^2 +<u>5</u>
To shift down 5 units equation need to be y=0.5x^2 -<u>5</u>
For the question with 8 units just replace all the <u>5</u> with 8.
