Find an equation for the perpendicular bisector of the line segment whose endpoints are (8, 7) and (-4,3)

y = -3x + 11.

Step-by-step explanation:

The slope of the given line segment  is (3-7)/(-4-8) = -4/-12 = 1/3.

The midpoint of the line has  coordinates (8-4)/2, (7+3)/2.

= (2, 5).

The slope of  the  perpendicular bisector = -1/ 1/3 = -3.

So it's bisector has equation:

y - y1  = m(x - x1)=

y - 5 = -3(x - 2)

y = -3x + 6 + 5

y = -3x + 11.

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !