Answer:
The volume of the figure is 905 cubic units.
Step-by-step explanation:
Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.
volume of a sphere = 
where r is the radius of the sphere.
Given that AB = 6, then the radius of the sphere = 6
volume of sphere = x 
x 
= 
x 216
= 905.14
volume of sphere = 905 cubic units
The volume of the figure is 905 cubic units.
(N-2) * 180 so is 1800
(N-2) * 180 / 12 is 150
Can you please include a pic
3 / 5 = (x+1) / (y-2)
↓
↓ multiply by 5 / 3
↓
1 = 5 * (x+1) / 3 * (y-2)
↓
↓ move and simplify
↓
5x + 5 = 3y - 6
↓
↓ minus 5
↓
5x = 3y - 11
↓
↓ divide by 5
↓
Answer : x = (3y - 11) / 5
The inverse function is f(x) = 
, which makes the inverse at x = 2 equal to 0.
All inverse functions can be found by switching the x and f(x) values. Once that is done, solve for the new f(x) value. The result will be the inverse of the original function. The step-by-step process is below.
f(x) = 3(x + 2) - 4 ----> Switch the x and f(x)
x = 3(f(x) + 2) - 4 ----> Add 4 to both sides
x + 4 = 3(f(x) + 2) ----> Divide both sides by 3
= f(x) + 2 ----> Subtract 2 from both sides.
f(x) =
The end is your inverse function. So then we can evaluate when x = 2.
f(x) =
f(2) = 
f(2) = 
f(2) = 
f(2) = 0
