Point P divides the line segment joining the points A ( 2,1 ) and B ( 5, -8 ) such that AP : AB = 1: 3. If P lies on 2x - y + k = 0 , then find the value of k.

An empty bucket is placed under a faucet dripping at a constant rate of 4 milliliters per minute. with the given information, which of these statements is a reasonable conclusion? a there will be 24 milliliters of water in the bucket after 16 hour. b there will be 60 milliliters of water in the bucket after 14 hour. c there will be 160 milliliters of water in the bucket after 20 minutes. d there will be 100 milliliters of water in the bucket after 40 minutes.

(x-5)1/2+5=2 what is possible solution of this equation

The figure shows the front side of a metal desk in the shape of a trapezoid. what is the area of this trapezoid? 10 ft²16 ft²32 ft²61 ft²