Answer:
Step-by-step explanation:
(10 - 8)/(-21 + 9)= 12/-12= -1
y - 8 = -1(x + 9)
y - 8 = -x - 9
y = -x - 1
There were 4 musicians in the bad last month
Answer:
22.5% increase.
Step-by-step explanation:
Because her collection grows by 9, that means it increases by 9/40 total. As a decimal, this would be 0.225. Then, as a percent you multiply that by 100 to get 22.5%. Pilar's collection increased by 22.5%
Answer:
Sum of 100 terms of the sequence = 15050
Step-by-step explanation:
Given expression which represents a sequence is,

So the sequence will be,
2, 5, 8, 11, 14..........
So, the given sequence is an arithmetic sequence with,
First term of the sequence 'a' = 2
Common difference 'd' = 5 - 2 = 3
Sum of 'n' terms of an arithmetic sequence is given by,
![S_n=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Here, n = number of terms
a = first term
d = common difference
= ![\frac{100}{2}[2(2)+(100-1)(3)]](https://tex.z-dn.net/?f=%5Cfrac%7B100%7D%7B2%7D%5B2%282%29%2B%28100-1%29%283%29%5D)
= 50[4 + 297]
= 15050
Therefore, sum of 100 terms of the sequence = 15050