A community for students.
Here's the question you clicked on:
 0 viewing
 2 years ago
Choose the equation for the hyperbola centered at the origin with the given characteristics.
1.one focus (0, square root of 34), one vertex (0, 5)
2.vertical transverse axis, b = 6, c = square root of 45
3.vertices (+2, 0), perimeter of central rectangle 24 units
 2 years ago
Choose the equation for the hyperbola centered at the origin with the given characteristics. 1.one focus (0, square root of 34), one vertex (0, 5) 2.vertical transverse axis, b = 6, c = square root of 45 3.vertices (+2, 0), perimeter of central rectangle 24 units

This Question is Closed

SmartOwl94
 2 years ago
Best ResponseYou've already chosen the best response.0I have multiple choice selections for these problems

phi
 2 years ago
Best ResponseYou've already chosen the best response.0The equation of a hyperbola that opens up/down (north/south) is \[ \frac{y^2}{a^2} \frac{x^2}{b^2} =1 \] I remember that the y term goes first with "Y the smile? Y the frown?" For 1.one focus (0, square root of 34), one vertex (0, 5) we can plot these points dw:1334667585835:dw so we know we are looking for \[ \frac{y^2}{a^2} \frac{x^2}{b^2} =1 \]

phi
 2 years ago
Best ResponseYou've already chosen the best response.0You should know that the vertex is "a" away from the center (0,0), so a=5 and a^2=25 we also need to know that the focus (call it c) is defined by \[c^2= a^2+b^2 \] They give us c= sqrt(34), so c^2 =34. we can now find b: 34= 25+b^2 b^2=9 and b=3 so the equation should be \[ \frac{y^2}{25} \frac{x^2}{9} =1 \]
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.