acy os thinking of a number her number is a factor of 30 and a composite number which of these could be lacys number. a. 30. b 15 c 5 d 8

Which values for a and b will create infinitely many solutions for this system of equations? ax-y=8 2x+y=b

In the coordinate plan (-6,9) b (3,9) c (3,3) def is shown in the coordinate plan below

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)