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:
area ≈ 6.3 units²
Step-by-step explanation:
Calculate the area (A ) of the sector as
A = area of circle × fraction of circle
= πr² × 
= π × 4² × 
= 16π ×
← cancel 8 and 16 by 8, leaving
A = 2π ≈ 6.3 units² ( to 1 dec. place )
(X1=1, y1=7) and (x2= -4, y2 =-8)
Slope = ( y2-y1)/(x2-x1)= (-8-7)/(-4-1)= -15/-5=3
Slope is 3
<span>8 - 3x - 5x = -8
8 - 8x = -8
-8x = -8 - 8
-8x = -16
8x = 16
x = 16/8
x = 2</span>
Answer:
The lines are parallel.
Step-by-step explanation:
The first line is 
In slope-intercept form, this line has equation: 
The second line is 
In slope-intercept form, the line has equation: 
The slopes of the two lines are the same (m=1)
however, the y-intercepts of these lines are different (-1) and (+1) respectively.
The first choice is correct.
The two lines are parallel and hence will never intersect.