Paddy has a circular fishpond in the middle of his square backyard. The fishpond has a circular stone border. The radius of the fishpond is one foot less than the radius from the center of the pond to the outer edge of the stone border. The width of Paddy's yard is 6 feet more than the diameter of the fishpond and border. Let x be the radius in feet of the fishpond. Write an expression for the area of the yard that is not taken up by the fishpond and border. A. (4−π)x^2+(24+2π)x+(36−π)
B. (4x^2+32x+64)−π(x^2+2x+1)
C. 4x^2−πx^2+32x−2πx+64−π
D. both B and C

Suppose g(x) = f(x + 3) + 4. which statement best compares the graph of g(x) with the graph of f(x)?

An object is translated by (x + 4, y - 2). if one point in the image has the coordinates (5, -3), what would be the coordinates of its pre-image? (9, -5) (1, -5) (9, -1) (1, -1)

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true