J(-4, 2) is the center of a circle. K(-1,5) is any point on the circle. A line y = x + 9 is a chord of the circle. Prove that the line segment JK is parallel to the chord.

Write the system of equations represented by the matrix. 0 1 2 4 -2 3 6 9 1 0 1 3

David must install fencing around a lot that is shaped like a right angle.the side of lot that runs east-west is 200 ft long.the side of the lot runs north-south is 125 ft long.calculate how many feet of fencing he will need to surround the entire lot.

The number of hours per week that the television is turned on is determined for each family in a sample. the mean of the data is 37 hours and the median is 33.2 hours. twenty-four of the families in the sample turned on the television for 22 hours or less for the week. the 13th percentile of the data is 22 hours. approximately how many families are in the sample? round your answer to the nearest integer.