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Graph the ellipse with equation x squared divided by 36 plus y squared divided by 49 equals 1.

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4 votes

Check the picture below.

Graph the ellipse with equation x squared divided by 36 plus y squared divided by-example-1
User Marczellm
by
9.2k points
3 votes

Explanation:

We are asked to graph the equation of an ellipse given by
(x^2)/(36)+(y^2)/(49)=1.

We know that standard from of an ellipse
(x^2)/(a^2)+(y^2)/(b^1)=1, when
a>b, then the ellipse will be horizontal and when
a<b, then the ellipse will be vertical.

We can rewrite our given ellipse as:
(x^2)/(6^2)+(y^2)/(7^2)=1.

Upon looking at our given ellipse we can see that the horizontal radius is less than vertical radius, so our ellipse will be a vertical ellipse. The center of our ellipse is at origin (0,0).

Upon graphing our ellipse, we will our required graph as:

Graph the ellipse with equation x squared divided by 36 plus y squared divided by-example-1
User Hoff
by
8.4k points

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