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Mathematics
Problem
The asymptotes of a horizontal hyperbola have equations
y
=
±
2
x
y=\pm 2x
y
=
±
2
x
. If the hyperbola passes through the vertex
(
6
,
0
)
(6,0)
(
6
,
0
)
, what is the value of
b
b
b
in its standard form
x
2
a
2
−
y
2
b
2
=
1
\dfrac{x^{2}}{a^{2}}-\dfrac{y^{2}}{b^{2}}=1
a
2
x
2
−
b
2
y
2
=
1
? a)
6
2
6\sqrt{2}
6
2
b)
12
12
12
c)
3
3
3
d)
6
6
6
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