An arch has the shape of the parabola y = 36 − x2. a rectangle is fit under the arch by selecting a point (x, y) on the parabola.
(a) express the area a of the rectangle in terms of x.
(b) if x = 1, the rectangle has base 2 and height 35. find the base of a second rectangle that has the same area.

The vertex of this parabola is at (-2,-3). when the x-value is -1, the y-value is -5. what is the coefficient of the squared expression in the parabola's equation?

An office supply company conducted a survey before marketing a new paper shredder designed for home use. in the survey, 80 % of the people who tried the shredder were satisfied with it. because of this high satisfaction rate, the company decided to market the new shredder. assume that 80 % of all people are satisfied with this shredder. during a certain month, 100 customers bought this shredder. find the probability that of these 100 customers, the number who are satisfied is 69 or fewer.

The angle of elevation from point a to the top of a cliff is 38 degrees . if point a is 80 feet from the base of the cliff , how high is the cliff ?