Show that the straight line x+y does not intersect the curve x^2-8x+y^2-12y+6=0 if k^2-20k+8>0

Apath 3 m wide runs around the inside of a square park inside 60 m. find the area of the path. pls

Suppose a ball is dropped fromca height of 6ft. it bounces back up but time it bounces, it reaches only 7/10 of its pervious height. what is the total of each height that the ball reaches after 5 bounces

Three times the sum of a number and seven is negative thirty-six. what is the number?