Solve the problem.The difference between two positive integers is 24. One integer is three times as great as the other. Find the integers.

A. 36 and 60
B. 12 and 36
C. 24 and 36
D. 12 and 24


Answer: B

Mathematics

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Identify the equation as either an identity or not.cos2x + cos2y = cos (x + y) cos (x - y)

A. Not an identity B. Identity

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Determine whether the collection is well-defined.The collection of tennis players who have won at Wimbledon.

A. Not well-defined B. Well-defined

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Graph the solution of the rational inequalities on a number line and write the solution in interval notation;. ? 0

A.

B.  ? [4, ?)

C.

D.  ? (4, ?)

Mathematics

Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.x2 - 16y2 - 8x + 32y - 16 = 0

A. center at (4, 1)
transverse axis: x = 4
vertices: (4, -3) and (4, 5)
foci: (4, 1 - ) and (4, 1 + )
asymptotes: y + 1 = - 4(x + 4) and y + 1 = 4(x + 4)
B. center: (4, 1)
transverse axis: y = 1
vertices: (3, 1) and (5, 1)
foci: (4 - , 1) and (4 + , 1)
asymptotes: y - 1 = - 4(x - 4) and y - 1 = 4(x - 4)
C. center: (4, 1)
transverse axis: y = 1
vertices: (0, 1) and (8, 1)
foci: (4 - , 1) and (4 + , 1)
asymptotes: y - 1 = - (x - 4) and y - 1 = (x - 4)
D. center: (1, 4)
transverse axis: y = 4
vertices: (-3, 4) and (5, 4)
foci: (1 - , 4) and (1 + , 4)
asymptotes: y - 4 = - (x - 1) and y - 4 = (x - 1)

Mathematics