Answer:
6m + n + 2
Step-by-step explanation:
[7m + 3n - 11 - 2m] + [n + 5 - -m - 3n + 8]
[5m + 3n - 11] + [n + 5 + m - 3n + 8]
5m + 3n - 11 + (-2n + 13 + m)
5m + 3n - 11 - 2n + 13 + m
6m + n + 2
This is a permutations problem. There are only 7 comics you can move into different time slots, the 8th one being fixed in that last position. So you can look at it this way:
For the 1st position, you can choose from all 7 people. Once you've picked that one, you have 6 people to choose from for the 2nd position, and similarly for the remaining ones . This gives you 7x6x5x4x3x2x1 = 5040 ways to arrange them. And the last comic stays in the same position all the time so does not change this number. Make sense? If you need to demonstrate it to yourself, use a smaller number of comics, like 3 or 4, and write out the combinations to see that it works.
2. You simplified parenthesis on both sides
3. Subtracted 14 from -25 on right side
6. Divided each side by 9
Answer:
sinB= 3/5, tanA=4/3, cosB=4/5
Step-by-step explanation:
Simplify the following:5 i/(3 i + 2)^2
(3 i + 2)^2 = 4 + 6 i + 6 i - 9 = -5 + 12 i:(5 i)/12 i - 5
Multiply numerator and denominator of (5 i)/(12 i - 5) by 5 + 12 i:(5 i (12 i + 5))/((12 i - 5) (12 i + 5))
(12 i - 5) (12 i + 5) = -5×5 - 5×12 i + 12 i×5 + 12 i×12 i = -25 - 60 i + 60 i - 144 = -169:(5 i (12 i + 5))/-169
i (12 i + 5) = -12 + 5 i:(5 5 i - 12)/(-169)
Multiply numerator and denominator of (5 (5 i - 12))/(-169) by -1:Answer: (-5 (5 i - 12))/169
