Two nonadjacent vertices of a rectangle  are (-1,-2)   and (5,3). Find the length of the diagonal of the rectangle.

Draw a line perpendicular to the line that contains the points  (1, 8)  and  (4, 6)  and passes through the point  (−2, 6).

Find the area of the parallelogram with vertices at (5, –2), (11, 3), (14, –8), and (20, -3). Area = To submit: show your work

A rectangle is fenced off for a robot competition. The dimensions of the competition area are 35 feet by 25 feet. To help track the robots, the southwest vertex of the rectangle is assigned coordinates (0,0) and the northeast vertex is assigned coordinates (35, 25). Show Your Work The robot that traveled the farthest distance began at (3,18) and moved in a linear path for 5 seconds. After 5 seconds, the robot's position was at (31, 6). The robot traveled approximately feet after 5 seconds. Round your answer to the nearest tenth. The approcimate average speed of the winning robot is feet per second.