Question

6. Sketch the graph of the ellipse with equation $4x^2 + 9y^2 - 16x - 90y + 97 = 0$. Identify the vertices, foci, length of the major and minor axes.

Name: 6. Sketch the graph of the ellipse with equation 4x^2 + 9y^2 - 16x - 90y + 97 = 0. Identify the vertices, foci, length of the major and minor axes.
Uploaded: 2022-06-06T11:48:06-08:00
Duration: 1 min 43 s
Channel: Anurag Kumar
Description: 6. Sketch the graph of the ellipse with equation 4x^2 + 9y^2 - 16x - 90y + 97 = 0. Identify the vertices, foci, length of the major and minor axes.

          6. Sketch the graph of the ellipse with equation $4x^2 + 9y^2 - 16x - 90y + 97 = 0$. Identify the vertices, foci, length of the major and minor axes.

Added by Michael C.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Anurag Kumar

06/06/2022

Step 1

The given equation is 4x^2 + 9y^2 - 16x - 90y + 97 = 0. To complete the squares, we group the x terms and the y terms together: (4x^2 - 16x) + (9y^2 - 90y) + 97 = 0. Now, we factor out the coefficients of x^2 and y^2: 4(x^2 - 4x) + 9(y^2 - 10y) + 97 = 0. Show more…

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Sketch the graph of the ellipse with equation 4x^(2)+9y^(2)-16x-90y+97=0. identify the vertices, foci, length of the major and minor axes. 6. Sketch the graph of the ellipse with equation 42 + 9y2 - 16x - 90y + 97 = 0. identify the vertices, foci, length of the major and minor axes.