Answer:
Option A. 
Step-by-step explanation:
The given sequence in the question is 6,-24,96,-384.......n
and we have to give the recursive formula for this arithmetic sequence.
We can re write the sequence to make it more simpler
6,6(-4),(-24)(-4),(96)(-4).......n terms
Now we can say 
and
Therefore the recursive formula of the sequence is
Let's put this on the usual Cartesian grid just so we can talk about it without drawing a picture. We'll use map conventions, right is east, up is north.
The ball starts at (0,0). 10.3 feet northwest means we have an isosceles right triangle whose diagonal is 10.3 feet. It's isosceles because northwest means equal parts north and west.
The sides of these triangles are in ratio
so the coordinates after the first putt are
The negative sign indicates west, which doesn't really matter for this problem. The distance from the origin to this point is 10.3 as required.
Now a second putt of 3.8 feet north puts us at
The squared distance to the origin is exactly
A little calculator work tells us
Third choice.
Answer:
Step-by-step explanation:
-A rectangle's area is given by:
Given A=
and 
, we substitute in the formula to solve for the width as follows:
Hence , the rectangle's width is 
Answer:
y = 9
Step-by-step explanation:
So if x = 3, we can sub that into the equation.
This gives us:
6.4 (* 3) + 2.8y = 44.4
so:
19.2 + 2.8y = 44.4
25.2 = 2.8y
so
y = 9
