9514 1404 393
Answer:
geometric sequence
Step-by-step explanation:
The terms of the sequence have a common ratio of -12/3 = -4, so the sequence is geometric. The general term is ...
an = 3(-4)^(n-1)
so the sum can be written as ...

(Note the summation starts at n=0, corresponding to a first term of 3.)
Answer:
4x - 5y = 10
Step-by-step explanation:
Any line parallel to 4x - 5y = 35 will have the same equation EXCEPT that the constant will be different.
Starting with 4x - 5y = 35, replace x with the given x-coordinate -5 and the given y-coordinate -6, and finally the given 35 with the constant C:
4(-5) - 5(-6) = C, or
-20 + 30 = C. Thus, C = 10, and the equation of the new line is
4x - 5y = 10
Answer:
1/10
Step-by-step explanation:
there are 10 slices, so if the probability of it landing on one of them is 1/10
Answer:
W value 56 ft
Step-by-step explanation:
The formula for the perimeter of a rectangle is
P = 2L + 2W
Here P = 156 ft = 2(22 ft) + 2W, or
78 ft = 22 ft + W
This yields the W value 56 ft