Point p partitions the directed segment from a to b into a 1: 3 ratio. q partitions the directed segment from b to a into a 1: 3 ratio. are p and q the same point? why or why not? a)yes, they both partition the segment into a 1: 3 ratio. b)yes, they are both the distance from one endpoint to the other. c)no, p is the distance from a to b, and q is the distance from b to a. d)no, q is closer to a and p is closer to b.

Question 101 points)which equation in slope-intercept form represents the line that passes through (5, 1) and(-4,7)

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)

The price of a visit to the dentist is \$50$50. if the dentist fills any cavities, an additional charge of \$100$100 per cavity gets added to the bill. if the dentist finds nn cavities, what will the cost of the visit be?