ElectricPavlov

expand to 

1/4 ( x^2 -4x+4) +3

 = 1/4 x^2 -x+4

Just a sphere or radius 2      added   to cylinder  radius 2   height 3

sphere volume = 4/3 pi (2³⁾

cylinder volume  = pi 2² 3       add them together

.18 * 2100 = .......... ft ²

First find the midpoint    4, 3

Find the slope    (2-4)/(1-7) = -2/-6 = 1/3

   perpindicular slope = -1 / 1/3   = -3

point slope      (y-3) = -3(x-4)       Re-arrange to get to y = mx + b form   

Plot the points ....should be easy to find perimeter then:

Slope =   rise/run  =   (y1-y2)/(x1-x2) between two points

Find two easy points   -2,-1    and   2, 0        rise / run = 1/4 = slope

This is really tedious to sustitute in all of the points to see if they satisfy the equation....here is an easier way....plot the line:

The other intercept will be the same distance from the vetex  BUT ON THE OTHER SIDE OF THE VERTEX

9,0         x = 9

This is a circle equation

x^2 -4x       + y^2 - 6y     <= 13     complete the square for  x  and  y

(x-2)^2       + ( y-3)^2     <=   13  + 4 + 9  < ======== this is r²

                                                               26 = r^2                  area of circle = pi r^2 =   26 pi

(x-1)^2 + (y+4)^2 = 3^2      That's it !