Volume = PI x r*2 x h/3
r = radius which is shown as 8
h is the height which is shown as 63
Volume = 3.14 x 8^2 x 63/3
Volume = 3.14 x 64 x 21
Volume = 4,220.16 cubic units.
Answer: Q = 9
5q - 4q = 9 (Combine like terms)
q = 9
Step-by-step explanation:
Because the expressions x and y² varies inversely, the equation that can be used in order to relate them is,
y² = k/x
k here is the constant of proportionality. Using the first set of given, x = 4 and y = 10, we determine the value of the proportionality constant.
k = (x)(y²)
Substitute the known values to the equation,
k = (4)(10²) = 400
The completed equation for the relation is therefore,
y² = 400/x
Substituting the value of y to this equation,
(2²) = 400/x
The value of x is 100.
<em>ANSWER: D. x = 100</em>
draw a perpendicular line from the directrix passing through the focus, this will be the line of symmetry.
The vertex(h, k) will be located on the line half way between the focus and directrix.
The distance from the focus to the vertex is called the focal length, call it a. The then equation is
(x - h)^2 = 4a(y - k)
the equation can be manipulated to
y = 1/4a(x - h)^2 + k
hope it helps