# How do you find the coordinates of the center, foci, the length of the major and minor axis given #36x^2+81y^2=2916#?

##### 1 Answer

Oct 15, 2016

You can obtain your answers by doing steps 1 through 4 in the explanation.

#### 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:

where:

#(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.