Item 8 MATHEMATICAL CONNECTIONS Write a polynomial in standard form that represents the area of the shaded region. A square with its sides labeled x plus 1. A rectangle is shown inside the square. Its length is labeled x minus 7 and its width is labeled 5. The square, except the region occupied by the rectangle, is shaded.

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

When lulu enlarged her drawing of a rabbit, the enlarged picture appeared to be distorted. which statement about the transformation applied to her drawing is true?

The length of a shadow of the building is 36m. the length of the pole, which is perpendicular to the ground, is 1.9m. the length of the pole's shadow is 1.52m. what is the height of the building?