High School

What is the equation for the hyperbola shown?

X

V2

= 1

602

112

72

-

x2

112

1

602

72

x2

=

1

602

112

72

112

x2

602

1

What is the equation for the hyperbola shown X V2 1 602 112 72 x2 112 1 602 72 x2 1 602 112 72 112

Answer :

Answer:

[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]

Step-by-step explanation:

Since the hyperbola opens left and right with a center at the origin, then

[tex]\frac{x^{2} }{^{2} } - \frac{y^{2} }{b^{2} } = 1[/tex]

In the graph a = 60 and b = 11

So

[tex]\frac{x^{2} }{60^{2} } - \frac{y^{2} }{11^{2} } = 1[/tex].

[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]