# How do you find the standard form of the equation of the ellipse given the properties foci #(+-3,0)#, length of the minor axis 10?

##### 1 Answer

#### Explanation:

Let

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Since our foci are both

Using the property of ellipses that:

#a^2= b^2 + c^2#

We can determine the value of

#a^2 = 10^2+3^2#

#a^2 = 109#

Let's stop there, since our final equation relies on

Now, we have everything we need to make the standard form equation for the given ellipse. Here is what standard form looks like for an ellipse with a horizontal major axis:

#(x-h)^2/a^2 + (y-k)^2/b^2 = 1#

Where

Therefore, this specific ellipse's equation is:

#x^2/109 + y^2/100 = 1#

*Final Answer*