SOLUTION: How long is the minor axis for the ellipse shown below? (X+4)^2/81 + (y-1)^2/36 =1

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Question 1151785: How long is the minor axis for the ellipse shown below?
(X+4)^2/81 + (y-1)^2/36 =1
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.

From the equation, the length of the minor semi-axis is   = 6 inits,


and the length of the minor axis is 2 times 6 units, i.e. 12 units.    ANSWER

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    - Ellipse definition, canonical equation, characteristic points and elements
    - General equation of an ellipse
    - Transform a general equation of an ellipse to the standard form by completing the square
    - Identify elements of an ellipse given by its general equation
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Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The lengths of the semi-major and semi-minor axes are and ; since by definition the major axis is the longer axis, the semi-major axis is 9 and the semi-minor axis is 6.

Then of course the length of the minor axis is 2*6=12.
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