Use the method of completing the square to transform the quadratic equation into the equation form (x – p)2 = q.

x2 - 12x - 9 = 0
a) (x - 36)2 = 9
b) (x - 36)2 = -9
c) (x - 6)2 = 45
d) (x - 6)2 = -45

Tom had a total of $220 and he spent $35 on a basketball ticket . what percent of his money did he have left?

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers.a) one of the 400 passengers is selected uniformly at random.let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

The length of the line segment joining the midpoints of sides ab and bc of the parallelogram abcd is 10. find the length of diagnol ac