SOLUTION: write an equation of the ellipse with the given characteristics and center at (0,0)
vertex:(0,6)
co-vertex:(-3,0)
Algebra.Com
Question 548049: write an equation of the ellipse with the given characteristics and center at (0,0)
vertex:(0,6)
co-vertex:(-3,0)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
write an equation of the ellipse with the given characteristics and center at (0,0)
vertex:(0,6)
co-vertex:(-3,0)
**
Standard form of equation for ellipse with vertical major axis:
(x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k) being the (x,y) coordinates of the center.
For given ellipse:
center:(0,0)
length of vertical major axis=12=2a
a=6
a^2=36
length of minor axis=6=2b
b=3
b^2=9
Equation of given ellipse:
(x-h)^2/b^2+(y-k)^2/a^2=1
(x-0)^2/9+(y-0)^2/36=1
x^2/9+y^2/36=1 (ans)
RELATED QUESTIONS
Write an equation of an ellipse in standard form with the center at the origin and with... (answered by lwsshak3)
Write an equation of an ellipse in standard form with the center at the origin and with... (answered by lwsshak3)
Write an equation of an ellipse in standard form with the center at the origin and with... (answered by MathLover1)
Could you please ....Write an equation of the ellipse with center at (0, 0), vertex at... (answered by lwsshak3)
Write an equation of an ellipse with center at (0, 0), co-vertex at (-4 , 0), and focus... (answered by KMST)
Write an equation of an ellipse with the given characteristics:
Center: (3,3)... (answered by robertb)
Write the equation of the ellipse with the given characteristics and center at (0,0).... (answered by ewatrrr)
write an equation of an ellipse in standard form with the center at the origin and the... (answered by ikleyn)
Write an equation of an ellipse with the given characteristics:
center: (-1,5)... (answered by lwsshak3)