Let A = R × R and f : A → A be given by the rule f(x, y) = (x − y, x + y). (a) Prove f is one-to-one. (b) Prove f is onto A. (Comment: don’t forget that if given b ∈ A, you construct a such that f(a) = b, you must also show a ∈ A.) (c) What is the inverse function? (d) Is f a permutation? Explain

Circle d circumscribes abc and abe. which statements about the triangles are true? statement i: the perpendicular bisectors of abc intersect at the same point as those of abe. statement ii: the distance from c to d is the same as the distance from d to e. statement iii: bisects cde. statement iv: the angle bisectors of abc intersect at the same point as those of abe. a. i only b. i and ii c. ii and iv d. i and iii e. iii and iv

(x-5)1/2+5=2 what is possible solution of this equation

Find the maximum value of p= 4x + 5y subject to the following constraints :