i need help very bad

label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

Write the equation of an ellipse with a major axis of length 8 and co-vertices (0, 3) and (0, -3).

Write the equation of an ellipse with vertices (0, 5) and (0, -5) and co-vertices (2, 0) and (-2, 0).

May 6th, 2015

Given ellipse has a horizontal major axis
Its standard form of equation: %28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1a>b, (h,k)=coordinates of center
center: (-1,5)
length of horizontal major axis=16=2a


a=8
a^2=64
length of co-vertices=12=2b
b=6
b^2=36
c^2=a^2-b^2=64-36=28
c=√28
foci:(√28,5),(-√28,5)
equation of given ellipse: %28x%2B1%29%5E2%2F64%2B%28y-5%29%5E2%2F36=1

May 6th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
May 6th, 2015
...
May 6th, 2015
Sep 23rd, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer