# Instructions: Show all work for maximum credit. (O1)1.Solve 6y²-13y=55 for y. (O1)2.The length of the hypotenuse of a right triangle is one unit more than twice the height. What is the height of the triangle if the base is 6? (O3)3.Find the center and radius of the circle given by x²-14x+y²+12y=-2. (O3)4.Find x when the distance from (-3,6) to (x,-2) is 8. (O1)5.A 5.5 foot tall woman is standing 14 feet from a streetlamp casts a six foot shadow. How high is the lamp? (O1)6.Find the area of the triangle with side length 10 and hypotenuse 15.

Instructions: Show all work for maximum credit.

(O1)1.Solve 6y²-13y=55 for y.

(O1)2.The length of the hypotenuse of a right triangle is one unit more than twice the height. What is the height of the triangle if the base is 6?

(O3)3.Find the center and radius of the circle given by x²-14x+y²+12y=-2.

(O3)4.Find x when the distance from (-3,6) to (x,-2) is 8.

(O1)5.A 5.5 foot tall woman is standing 14 feet from a streetlamp casts a six foot shadow. How high is the lamp?

(O1)6.Find the area of the triangle with side length 10 and hypotenuse 15.

(O3)7.The perimeter of a rectangle is 500. If the height of the rectangle is x and the width is y, what is the area of the rectangle in terms of x?