Find the center (h, k) and radius r of the circle. Graph the circle.x2 + y2 - 4x - 6y + 9 = 0 
A. (h, k) = (-2, -3); r = 2
B. (h, k) = (-2, 3); r = 2
C. (h, k) = (2, -3); r = 2
D. (h, k) = (2, 3); r = 2
Answer: D
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Solve the problem.A plate shaped like an equilateral triangle 1 m on a side is placed on a vertical wall 2 m below the surface of a pool filled with water. On which plate in the figure is the force greater? Try to anticipate the answer and then compute the force on each plate. Round to three decimal places when appropriate.
A. plate 2 plate 1: 4856.024 N plate 2: 5468.524 N B. plate 1 plate 1: 10,937.049 N plate 2: 9712.049 N C. plate 2 plate 1: 9712.049 N plate 2: 10,937.049 N D. plate 1 plate 1: 5468.524 N plate 2: 4856.024 N
Draw the graph of the equation.y =
A.
B.
C.
D.
Divide the first polynomial by the second and state the quotient and the remainder.2x3 + 3x2 + 4x - 10, x + 1
A. Quotient: 2x2 + 5x + 9; remainder: 1 B. Quotient: 2x2 + x + 3; remainder: -13 C. Quotient: 2x2 + 5x + 9; remainder: -1 D. Quotient: 2x2 + x + 3; remainder: 13
Solve the problem.An office manager is buying used filing cabinets. Small file cabinets cost $6 each and large file cabinets cost $8 each, and the manager cannot spend more than $66 on file cabinets. A small cabinet takes up 5 square feet of floor space and a large cabinet takes up 9 square feet, and the office has no more than 62 square feet of floor space available for file cabinets. The manager must buy at least 5 file cabinets in order to get free delivery. Let x = the number of small file cabinets bought and y = the number of large file cabinets bought. Write a system of inequalities that describes these constraints.
A. 6x + 8y ? 66 5x + 9y ? 62 y ? 5 B. 6x + 8y ? 66 5x + 9y ? 62 x + y ? 5 C. 6x + 8y ? 66 5x + 9y ? 62 x + y ? 5 D. 6x + 8y ? 66 9x + 5y ? 62 x ? 5