which of the following is the equation of an ellipse centered at (2 3) having a horizontal minor axis of length 10 and major axis of length 12

Respuesta :

Answer: [tex]\frac{(x-2)^2}{25} +\frac{(y-3)^2}{36} =1[/tex]

Step-by-step explanation:

We know the ellipse is centered at (2,3) therefore in our function,

[tex]\frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2} =1[/tex]

h = 2 and k = 3

[tex]\frac{(x-2)^2}{a^3} +\frac{(y-3)^2}{b^2} =1[/tex]

We know the 'a' value will be on the right because there is a horizontal minor axis.