Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics. Vertex at (-5,0) and co-vertex at (0,4)
A. x^2/25 + y^2/16 =1
B. x^2/16 + y^2/25 =1
C. x^2/5 + y^2/4 =1
D. x^2/4 + y^2/5 =1

Question

Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics. Vertex at (-5,0) and co-vertex at (0,4)
A.  x^2/25 + y^2/16 =1
B. x^2/16 + y^2/25 =1
C. x^2/5 + y^2/4 =1
D. x^2/4 + y^2/5 =1

amistre64 · Answer

might be simpler to just square the x and y parts and match them with the options

amistre64 · Answer

when x=-5 and y=0;   x^2/ ? = 1?

mertsj · Answer

The center is at the origin.  The vertex is (-5,0) so a=5.  The covertex is at (0,4) of b = 4
Use those facts and fill in this equation:
$$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$$