I need helpppppppp I don’t like remainders :/
2 answers:
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<h3>Answer: 36pi (choice b)</h3>
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Explanation:
Let x = length of side BC
This is the height of the cylinder. Think of a can that is laying on its side. The radius of this can or cylinder is CD
If point B has x coordinate of 12, and BC is 12 units long, this must mean point C has x coordinate of 12-x. This is plugged into the function to show that CD has a length of exactly
This is the radius of the cylinder
The volume of a cylinder is
Plug in the radius and height mentioned to get this function in terms of x
That simplifies to
or
Ignore the pi portion for now.
We wish to maximize the function f(x) = 12x-x^2
Use either calculus (specifically derivatives) or a graphing calculator to find that the vertex is at (6, 36)
This means x = 6 leads to the largest f(x) value being 36.
Therefore, the volume V is maxed out when x = 6 and we get a max volume of 36pi cubic units.
Answer:
The answer is
<h2>10 units</h2>Step-by-step explanation:
The distance between two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-2,1) and (-8,9)
The distance between them is
We have the final answer as
<h3>10 units</h3>Hope this helps you