Find the coordinates of the vertex for the parabola defined by the given quadratic function.f(x) = (x + 4)2 + 4

A. (4, 0)
B. (0, 4)
C. (-4, -4)
D. (-4, 4)


Answer: D

Mathematics

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Divide and simplify. Assume that all variables represent positive real numbers.

A. x
B. 3x4
C. 3x
D. 3x

Mathematics

Find the vertices and locate the foci for the hyperbola whose equation is given.64y2 - 4x2 = 256

A. vertices: (-2, 0), (2, 0)
foci: (-2, 0), (2, 0)
B. vertices: (-8, 0), (8, 0)
foci: (-2, 0), (2, 0)
C. vertices: (0, -2), (0, 2)
foci: (0, -2), (0, 2)
D. vertices: (0, -8), (0, 8)
foci: (0, -2), (0, 2)

Mathematics

Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in the figure. Round to one decimal place.

A. 298.5 lb B. 536.7 lb C. 610.0 lb D. 346.6 lb

Mathematics

Use a calculator to find the root or power rounded to six decimal places.

A. 30.778365 B. 30.764062 C. 30.770365 D. 30.773365

Mathematics