Sam needs a web designer. designer a is offering her services for an initial $510 in addition to $80 per hour. designer b is offering her services for an initial $650 in addition to $45 per hour. when will the two designers charge the same amount of money?

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)

Find the center of the circle that can be circumscribed about efg with e(4,4) f(4,2) g(8,2)

Find the slope and y-intercept of each line y=4x+1