SOLUTION: Find an equation of the ellipse that satisfies the given conditions.
Vertices are (+-5,0), foci (+-sqrt(21),0)
Algebra.Com
Question 173642: Find an equation of the ellipse that satisfies the given conditions.
Vertices are (+-5,0), foci (+-sqrt(21),0)
Answer by gonzo(654) (Show Source): You can put this solution on YOUR website!
i think the following graph is it.
look below the graph for further comments.
-----
standard equation of a ellipse where the major axis is horizontal and the center of the ellipse is at the origin is:
-----
hard to explain but a decent treatment of this can be found at the following web address:
http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_conics_ellipse.xml
-----
you are given:
vertices are: (+-5,0)
focii are: (+-sqrt(21),0)
-----
since the focii are on the x-axis, then this equation has a major axis as horizontal.
-----
this make a = 5, since the a is the distance from the horizontal vertex to the origin.
-----
we need to find b.
-----
use the equation
-----
c is the distance from the focus to the origin.
that would be sqrt(21)
-----
the equation is:
substituting:
b = 2
-----
we have:
a = 5
b = 2
-----
standard equation becomes:
to graph this solve for y:
that equation becomes:
y = +/-
-----
sorry for the rush job but i ran out of time.
hopefully this helps.
check that website out.
decent treatment of the subject.
RELATED QUESTIONS
Find an equation for the conic that satisfies the given conditions.
Ellipse foci (0,... (answered by lwsshak3)
Find an equation for the ellipse that satisfies the given conditions.
Foci (0, ±3),... (answered by lwsshak3)
Find an equation of the ellipse that satisfies the given conditions:
vertices (+ or -... (answered by ikleyn)
Find an equation for the ellipse that satisfies the given conditions.
Endpoints of major (answered by Gogonati)
please help me find an equation for the ellipse that satisfies the given conditions.... (answered by lwsshak3)
Find an equation for the ellipse that satisfies the given conditions.
Endpoints of major (answered by greenestamps)
Find an equation of the ellipse that satisfies the given conditions. (Objective 3)... (answered by josgarithmetic)
Write the equation of the ELLIPSE that satisfies the given conditions
Vertices (-5,0) (answered by MathLover1)
Write the equation of the ELLIPSE that satisfies the given conditions
d. Vertices... (answered by CPhill)