Solve.Find the constant of variation and the variation equation in which y varies jointly as x and z and y = 405 when x = 9 and z = 9
A. k = 45; y = 45x
B. k = 5; y = 5xz
C. k =405; y = 
D. k = 7; y = 7xz
Answer: B
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Find the length of the curve.The cardioid r = 5(1 - cos ?)
A. 
B. 
?
C. 40?
D. 40
Solve the problem.Consider the figure below. (a) Write an expression for the length of the bottom. (b) Write an expression for the area of the largest rectangle.
A. (a) y + 9; (b) 3y(y + 9) or 3y2 + 27y B. (a) 3y + 9; (b) y(3y + 9) or 3y2 + 9y C. (a) 3y + y; (b) 9(3y + y) or 36y D. (a) 6y + 18; (b) 2y(6y + 18) or 12y2 + 36y
Solve the problem. Round to the nearest tenth, if necessary.Two pipes together can fill a large tank in 10 hr. One of the pipes, used alone, takes 15 hr longer than the other to fill the tank. How long would each pipe take to fill the tank alone?
A. 25 hr; 40 hr B. 15 hr; 30 hr C. 12.5 hr; 27.5 hr D. 10 hr; 25 hr
Find the intercepts for the graph of the equation.2x + y = 4
A. (4, 6); (-1, 4) B. (2, 0); (0, 4) C. (0, -1); (0, 6) D. (-1, 0); (6, 0)