Use the given information to find the equation for the ellipse. Center at (5, −5), vertex at (8, −5), focus at (7, −5)

Amina Richards 2022-10-21 Answered
Use the given information to find the equation for the ellipse. Center at (5, −5), vertex at (8, −5), focus at (7, −5)
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Answers (1)

Remington Wells
Answered 2022-10-22 Author has 13 answers
let the equation of exlipse be
( x α ) 2 ) a 2 + ( y β ) 2 b 2 = 1
the coordinate of vortex, focus and center are ( α + a , β ) , ( α + a e , β ) and ( α , β )
Given equations
center =(5,-5)
vertex =(8,-5)
focus =(7,-5)
So,
α + a = 8 a = 8 5 = 3 β = 5 α = 5 α + a e = 7 b = 5
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