The area of a rectangular rug is given by the trinomial r^2 - 6r -55. What are the possible dimensions of the rug? Use factoring.

Use the method of cylindrical shells to find the volume v generated by rotating the region bounded by the given curves about y = 8.8y = x3, y = 0, x = 4use the method of cylindrical shells to find the volume v generated by rotating the region bounded by the given curves about y = 8.8y = x3, y = 0, x = 4

Amy is plan her school's new basketball court. the west edge of the basketball court is located on the line y = 5x + 2. the east edge cannot intersect with the west edge. on which line could the east edge be located? −y − 5x = 100 y + 5x = 100 −5x − y = 50 5x − y = 50

Derek purchased a new gym membership. it costs him seven dollars a month plus two dollars for every time that he visits the gym. he wants to spend less than 25 dollars a month to visit the gym. write an inequality that models the situation using the variable v for the number of visits per month. also find the maximum number of visits he can make to the gym and still keep his cost below 25 dollars a month.