Solve the problem.Find the foci and asymptotes of the following hyperbola:25x2 - y2 = 25
A. Foci: (, 0), (-
, 0); Asymptotes: y =
x, y = -
x
B. Foci: (, 0), (-
, 0); Asymptotes: y = 5x, y = -5x
C. Foci: (5, 0), (-5, 0); Asymptotes: y = x, y = -
x
D. Foci: (0, ), (0, -
); Asymptotes: y = 5x, y = -5x
Answer: B
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Find the number of ways to get the following card combinations from a 52-card deck.If two cards are drawn from a 52-card deck without replacement, in how many different ways is it possible to obtain a king on the first draw and a king on the second?
A. 2 ways B. 12 ways C. 8 ways D. 16 ways
Construct the requested tree diagram.Construct a tree diagram that shows all possible outcomes when two coins are tossed.
A.
| |
H |
| |
T |
B.
/\ |
H | T |
| | | |
T | H |
C.
/\ |
H | T |
/| | | |
H | T | H |
D.
/\ |
H | T |
/\ | /\ |
H | T | H | T |
Find the area of the triangle. If necessary, round the answer to two decimal places.a = 12, b = 15, ? = 52°
A. 70.92 B. 88.80 C. 141.84 D. 35.46
Evaluate the given function.f(x) = log5x, f
A. -5 B. 5 C. -2 D. 2