Determine the standard equation of the hyperbola with the given characteristics.The vertices are at (-6, 0) and (6, 0), and the foci are at (-8, 0) and (8, 0).

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


Answer: B

Mathematics

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Solve the problem.When flying the great-circle route from Fairbanks, Alaska ( latitude 64.8° north, longitude 147.85° west) to St. Petersburg, Russia (latitude 59.91° north, longitude 30.43° east), how close does the plane fly to the North Pole?.

A. ? 310.5 mi B. ? 31 mi C. ? 130 mi D. ? 3100 mi

Mathematics

Use a calculator to find the acute angle between the planes to the nearest thousandth of a radian.-10x - 4y - 7z = 9 and 2x + 9y - 9z = 7

A. 0.042 rad B. 1.283 rad C. 1.444 rad D. 1.528 rad

Mathematics

Combine. Assume that all variables represent non-negative real numbers.8  + 3xy 

A. 11xy5
B. 14x2y4
C. 11x2y5
D. 14 xy4

Mathematics

Let U = {q, r, s, t, u, v, w, x, y, z}, A = {q, s, u, w, y}, B = {q, s, y, z}, and C = {v, w, x, y, z}. List the elements in the following set.

A. {t, v, x} B. {r, t, u, v, w, x, z} C. {q, s, t, u, v, w, x, y} D. {s, u, w}

Mathematics