Find the area of the triangle.

A. A = 12 m2
B. A = 24 m2
C. A = 44 m2
D. A = 22 m2


Answer: D

Mathematics

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Solve the problem.The liquid portion of a diet is to provide at least 300 calories, 36 units of vitamin A, and 90 units of vitamin C daily. A cup of dietary drink X provides 60 calories, 12 units of vitamin A, and 10 units of vitamin C. A cup of dietary drink Y provides 60 calories, 6 units of vitamin A, and 30 units of vitamin C. Set up a system of linear inequalities that describes the minimum daily requirements for calories and vitamins. Let x = number of cups of dietary drink X, and y = number of cups of dietary drink Y. Write all the constraints as a system of linear inequalities.

A. 60x + 60y > 300 12x + 6y > 36 10x + 30y > 90 x > 0 y > 0 B. 60x + 60y ? 300 12x + 6y ? 36 10x + 30y ? 90 x ? 0 y ? 0 C. 60x + 60y ? 300 12x + 6y > 36 10x + 30y ? 90 D. 60x + 60y ? 300 12x + 6y ? 36 10x + 30y ? 90 x ? 0 y ? 0

Mathematics

Solve the problem. =

A. 55 B. 10 C. 21 D. 34 E. none of these

Mathematics

Factor by grouping.24r2 + 54ry - 4xr - 9xy

A. (4r + 9y)(6x - r) B. (9r + 4y)(6r - x) C. (4r + 9y)(6r - x) D. (4r + 9y)(x - 6r)

Mathematics

Perform the indicated operation.

A.
B.
C.
D.

Mathematics