Answer:
y-4=-2(x+1)
Step-by-step explanation:
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(-4-4)/(3-(-1))
m=-8/(3+1)
m=-8/4
m=-2
y-4=-2(x-(-1))
y-4=-2(x+1)
<span>Consider the remainder of the division of the power exponent of i by 4.
For a remainder r equal to 0, 1, 2 or 3, we have a power equal to 1, i, -1 or -i respectively, therefore:
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Answer:

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Answer:
8 possible outcomes
Step-by-step explanation:
I'm going to list all the possibilities and then count them up.
First Word is the wallpaper color, Second is the carpet color.
Red + Purple, Red + Yellow, Blue + Purple, Blue + Yellow, Yellow + Purple, Yellow + Yellow, Green + Purple, Green + Yellow
After counting them up, we get 8. Therefore there are 8 possible outcomes.
<u>Another way is to multiply the possible outcomes for each event together, and you can get the total number of outcomes. For example, in this problem there is 4 wallpaper colors and 2 carpet colors, so when u multiply them u get 8 total outcomes. Hope this helped!</u>
12,000
8,000
1400
7
hope this helps
Answer:
Step-by-step explanation:
Here are some steps to help you
Step 1
(2p^3 · 2p)^2 We are gonna be simplifying
(4p^4)^2
Step 2
(4p^4)(4p^4)
16p^8
So therefore your answer would be 16p^8
Hope this helps