2. Find an equation of a hyperbola whose foci are the vertices of the ellipse 7x^2 + 11y^2 = 77 and whose vertices are the foci of this ellipse.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter11: Conics
Section11.3: Ellipses
Problem 143E: In your own words, define an ellipse and write the equation of an ellipse centered at the origin in...
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2. Find an equation of a hyperbola whose foci are
the vertices of the ellipse 7x^2 + 11y^2 = 77 and
whose vertices are the foci of this ellipse.
3. The ceiling in a hallway 10 meters wide is in the
shape of a semi-ellipse and is 9 meters high in the
center and 6 meters high at the side walls. Find the
height of the ceiling 2 meters from either wall.
a. 32/5m
b. 35/2m
c. 42/5m
d. 35/3m
Transcribed Image Text:2. Find an equation of a hyperbola whose foci are the vertices of the ellipse 7x^2 + 11y^2 = 77 and whose vertices are the foci of this ellipse. 3. The ceiling in a hallway 10 meters wide is in the shape of a semi-ellipse and is 9 meters high in the center and 6 meters high at the side walls. Find the height of the ceiling 2 meters from either wall. a. 32/5m b. 35/2m c. 42/5m d. 35/3m
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