Find the equation in standard form of the parabola described.Focus at (-8, 0); Directrix the line x = 8

A. y2 = -32x
B. y2 = 32x
C. x2 = -32y
D. y2 = -8x


Answer: A

Mathematics

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Solve the problem.Find the vector from the origin to the center of mass of a thin triangular plate (uniform density) whose vertices are A(6, 1, 5), B(5, 3, 9), and C(2, 5, 9).

A. i - 2j k
B. i - 1j k
C. i + 3j + k
D. i - 3j k

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Provide an appropriate response.A metal bar is cut into six pieces each 3 inches long. Each cut wastes  inch. Determine the length of the original bar.

Fill in the blank(s) with the appropriate word(s).

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Multiply and simplify any radicals in your answer. Assume that all variables represent positive real numbers.( + )( - )

A.  +  -  + 13
B.  +  -  - 13
C.  +  +  + 13
D.  +  +  - 13

Mathematics

Evaluate the algebraic expression for the given values of the variables.6a - 5b for a = 7 and b = 2

A. 40 B. 32 C. 52 D. 37

Mathematics