Write the phrase as an algebraic expression. Let x represent the unknown number.The quotient of a number and 4

A.
B. 4x
C.
D. x - 4


Answer: A

Mathematics

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Find both the parametric and the vector equation of the line.The line through (4, -1, 3) that is perpendicular to both u = (2, 0, -1) and the y-axis.

A. x = 4 - t, y = -1, z = 3 + 2t; r = (4, -1, 3) + t(-1, 0, 2) B. x = 2 - 4t, y = -t, z = -1 + 3t; r = (2, 0, -1) + t(-4, -1, 3) C. x = 4 - t, y = -t, z = 3 + 2t; r = (4, -1, 3) + t(-1, 0, 2) D. x = 4 - 2t, y = -1, z = 3 - t; r = (4, -1, 3) + t(-2, 0, -1)

Mathematics

If a triangle has vertices of   and  then the area of the triangle is given by    Find the area of the triangle with vertices at the given points.(1, -3) (1, 1) (4, 3)

A. 6 B. 2.5 C. 12 D. 5

Mathematics

Find the standard equation of the hyperbola.Vertices at (0, ±4), foci at (0, ±11)

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1

Mathematics

Find the capacity of the container, when ?a? = 20, ?b? = 15, ?c? = 30. ? ?

A. 15 L B. 10 L C. 12 L D. 13 L E. 9 L

Mathematics