Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.
-
= 1
A. center: (0, 0)
transverse axis: y = 0
vertices: (-9, 0), (9, 0)
foci: (-, 0), (
, 0)
asymptotes: y = - x and y =
x
B. center: (0, 0)
transverse axis: x = 0
vertices: (0, -4), (0, 4)
foci: (-, 0), (
, 0)
asymptotes: y = - x and y =
x
C. center: (0, 0)
transverse axis: x = 0
vertices: (-4, 0), (4, 0)
foci: (-9, 0), (9, 0)
asymptotes: y = - x and y =
x
D. center: (0, 0)
transverse axis: x = 0
vertices: (0, -4), (0, 4)
foci: (0, -), (0,
)
asymptotes: y = - x and y =
x
Answer: D
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A.
B.
C.
D.
Use the fundamental counting principle to count the number of outcomes. How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 8 members? Assume that no member can hold more than one office.
A. 32 B. 70 C. 1680 D. 24
Solve using any method.
a.
b.
c.
d.
e. inconsistent