How do you find the coordinates of the center, foci, the length of the major and minor axis given #36x^2+81y^2=2916#?
You can obtain your answers by doing steps 1 through 4 in the explanation.
Let divide by 2916 and write the denominators as squares:
When the denominator of the x term is greater than the denominator of the y term, the standard form is:
#(h, k)#is the center point #2a#is the length of the major axis #2b#is the length of the minor axis
- The foci are at
#(h + sqrt(a^2 - b^2), k)#and #(h - sqrt(a^2 - b^2), k)#
Subtract zero from x and y to put the equation in standard form:
You can do steps 1 through 4 for your answer.