Answer:



Step-by-step explanation:
The volume of the cylinder is

where r is the radius of a base circle and h is the cylinder's height.
If cylinder has diameter of 8 inches, then its radius is 4 inches. The height of the cylinder is 5 inches. Thus, the volume of the cylinder is

The volume of the cone is

where r is the radius of a base circle and h is the cone's height.
If cone has diameter of 8 inches, then its radius is 4 inches. The height of the cone is 15 inches. Thus, the volume of the cone is

As you can see the cylinder and the cone have the same volume.
Answer:
BM=CM bc of the definition of midpoint
AB =AC bc of the def of an isosceles triangle
and angle B = angle D becasur corresponding parts
Step-by-step explanation:
Answer:
y = 0.5x - 5.5
Step-by-step explanation:
slope = 0.5, so this is the x coefficient.
y intercept = -2 - (7 x 0.5) = -5.5
The difference between Tucker and Karly's take is that Tucker's solution is analytical while Karly's is graphical. But both are correct either way.
For Tucker's solution, let's say at x=-3 the value for y is 4, and at x=3, the value of y is still 4, then the average rate of change or slope is 0. Note that the slope of the curve is Δy/Δx. Since there is no change for Δy, the slope is zero.
For Karly's solution, even if the curve travels high or low but would have the same elevation of x=-3 and x=3, the average rate of change is still zero. It is actually just same with Tucker's but Karly just verbalizes her solution that was observed visually.