Determine whether qrs is a right triangle for the given vertices. explain.
q(7, –10), r(–3, 0), s(9, –8)
no; qr = , qs = , rs = ; rs2 + qs2 rq2
yes; qr = , qs = , rs = ; qr2 + qs2 = rs2
no; qr = , qs = , rs = ; qr2 + qs2 rs2
yes; qr = , qs = , rs = ; rs2 + qs2 = rq2

Write the following as a base and exponent

Solve the problem. a student earned grades of c, a, b, and a in four different courses. those courses had these corresponding numbers of credit hours: 4, 5, 1, and 5. the grading system assigns quality points to letter grades as follows: a = 4, b = 3, c = 2, d = 1, and f = 0. compute the grade point average (gpa) and round the result to two decimal places. 3.40 3.50 8.75 2.18

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?