Answer:
5 units to right and 23 units down
Step-by-step explanation:
The vertex of 
is at 
.
In order to find the vertex of function a(x), we convert the function a(x) to vertex form.
The general vertex form is 
.
Here, 
is the vertex.
So, the vertex of the graph of a(x) is at 
and the vertex of f(x) is at .
Therefore, in order to translate to , we have to move the vertex of f(x) 5 units to right and then 23 units down.
The lcm of 54 and 81 is the smallest positive integer that divides the numbers 54 and 81 without a remainder. Spelled out, it is the least common multiple of 54 and 81
Volume of Sphere is V=(4/3)*PI*r^3
The radius of the volleyball is 13 inches
<span>So V=(4/3) * 3.14 * 13^3 =
9198 cubic inches</span>
Volume of a cylinder is V=pi * r^2 *h
Since they say the ball fits perfectly
The radius is 13 and the height is 26 ( the diameter of the
ball)
So V=3.14 * 13^2 * 26 = 13,797 cubic inches
13797 – 9198 = 4,599 cubic inches of empty space
