A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Help please?
What is the equation of the ellipse with foci (2, 0), (2, 0) and vertices (7, 0), (7, 0)? Answer choices below.
anonymous
 one year ago
Help please? What is the equation of the ellipse with foci (2, 0), (2, 0) and vertices (7, 0), (7, 0)? Answer choices below.

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@rvc @jim_thompson5910 @iambatman do you know how to do this?

rvc
 one year ago
Best ResponseYou've already chosen the best response.0im bad at this :( @Michele_Laino could you please help here :)

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3we have to write an equation like this: \[\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1\] where a=7 and b is such that the subsequent condition holds: \[{a^2}  {c^2} = {b^2}\] with c=2

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3so substituting c=2, and a=7 into the last equation, namely: \[{a^2}  {c^2} = {b^2}\] what equation do you get?

rvc
 one year ago
Best ResponseYou've already chosen the best response.0@Michele_Laino thanks for helping us :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so \[7^{2}2^{2}=45=6.71^{2}\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3ok! we get: \[{b^2} = 45\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3now since a=7, then we can write: \[{a^2} = 49\] am I right?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3ok! next, please substitute \[{a^2} = 49\] and \[{b^2} = 45\] in this equation: \[\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1\] whay do you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ x ^{2} }{ 49}+\frac{ y ^{2} }{ 45}\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3yes! that's right: \[\frac{{{x^2}}}{{49}} + \frac{{{y^2}}}{{45}} = 1\]
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.