Suppose the equation y = -5(x - 3)(x + 2) models the path of an Olympic diver. 1) How long was the diver in the air?
2) At what height was the diver at when they jumped?
3) What was the maximum height of the diver?
4) At what time did the diver hit the water?

Lizette is training for a marathon. at 7: 00 she left her house and ran until 8: 30, then she walked until 11: 30. she covered a total distance of 18 miles. her running speed was six miles per hour faster than her walking speed. find her running and walking speeds in miles per hour.

Are the corresponding angles congruent? explain why or why not.

Using only the digits 5, 6, 7, 8, how many different three digit numbers can be formed if no digit is repeated in a number?