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
B. x^2/16 + y^2/25 = 1
The formula for an ellipse centered at the origin is:
x^2/a^2 + y^2/b^2 = 1
The given vertices tell us that a = 5 and b = 4. Substituting those values into the formula gives us:
x^2/25 + y^2/16 = 1
Therefore, the correct equation in standard form is x^2/16 + y^2/25 = 1.