Option C, y = 1/2 x -2 is the correct answer
Answer:
The volume of the ball with the drilled hole is:

Step-by-step explanation:
See attached a sketch of the region that is revolved about the y-axis to produce the upper half of the ball. Notice the function y is the equation of a circle centered at the origin with radius 15:

Then we set the integral for the volume by using shell method:

That can be solved by substitution:

The limits of integration also change:
For x=5: 
For x=15: 
So the integral becomes:

If we flip the limits we also get rid of the minus in front, and writing the root as an exponent we get:

Then applying the basic rule we get:

Since that is just half of the solid, we multiply by 2 to get the complete volume:


Answer:
k = 11
Step-by-step explanation:
let the points be A(-2,5), B(2,8), C(6,K).
for the points to be collinear slope of line AB maust be equal to line BC.
slope of line AB = 
slope of line BC = 
therefore 
therefore k = 8 + 3
k = 11
6.b
7.d
8.a
9.c
see attached image. sorry that’s it’s all jumbled up weird, i could only figure out how to put them all together using photoshop. hope these help you out :))