Answer:

Step-by-step explanation:
Given
Sequence: 2, 6, 18, 54, 162,
Required
Determine the 15th term
The above sequence is a geometric sequence. So, first, we calculate the common ratio (r)



The 15th term is calculated as thus:

Where
and 




<em>The 15th term is 9,565,938</em>
So hmm check the picture below
the radius "r" is half the diameter, meaning, the diameter is 2r long
now, if the height "h" is twice "d" or 2d, then that means h = 2(2r)
thus
Answer:
y = -(1/12)(x -6)² -2
Step-by-step explanation:
The vertex of the parabola is halfway between the focus and the directrix, so has y-coordinate (-5+1)/2 = -2. The difference in the y-coordinates between the focus and the vertex is ...
p = -5 -(-2) = -3
An equation of the parabola with vertex (h, k) and focus-vertex distance p can be written:
y = 1/(4p)(x -h)² +k
For (h, k) = (6, -2) and p = -3, the equation is ...
y = (-1/12)(x -6)² -2
Answer:
r = 3sqrt*2
Step-by-step explanation:
We'll need the formula for the circumference of a circle: C = 2*pi*r
This can be solved for r:
C
r = -----------
2*pi
Here, with C = 6sqrt(2)*pi,
6sqrt(2)*pi
r = ------------------ = 3sqrt*2
2*pi