Question 777416
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{(x\ -\ h)^2}{b^2}\ +\ \frac{(y\ -\ k)^2}{a^2}\ =\ 1]


is the equation of an ellipse centered at *[tex \LARGE (h,\,k)], and having a vertical major axis, where *[tex \LARGE a] is the measure of the semi-major axis, and *[tex \LARGE b] is the measure of the semi-minor axis.


The center of the ellipse is the midpoint of either the major or minor axis, and the measure of the semi-major axis is the distance from either endpoint to the midpoint, likewise for the semi-minor axis.


Useful tools:


The mid-point formulas:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x_m\ = \frac{x_1 + x_2}{2}] and


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y_m\ = \frac{y_1 + y_2}{2}]


The distance formula:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ d\ =\ \sqrt{(x_1\ -\ x_2)^2\ +\ (y_1\ -\ y_2)^2}]


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
<font face="Math1" size="+2">Egw to Beta kai to Sigma</font>
My calculator said it, I believe it, that settles it
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