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Algebra II

posted by on .

Could someone please check these.

For ellipse:
(x-2)^2/49 + (y+1)^2/25 = 1

1.What is the major axis in equation form of this ellipse?
The major axis is the x axis, so if the major axis is horizontal, the equation is based off the minor axis so the answer is y= -1 for the major axis equation, correct?
2. What is the transverse axis of the hyperbole? Answer would be y = 5or if they're not asking for equation, THEN i SAY x= -3??? Not sure??

  • Algebra II - ,

    The major axis does not have an equation, as such. It is just the length of the larger of the two axes. The major axis is 14, extending from one side of the ellipse to the other. It does happen to lie along the line y = -1, as you say, but the line is not the axis.

    As for the hyperbola, since you don't cite an equation, it's hard to say. The transverse axis contains the two foci.

    So, if you have

    x^2/25 - y^2/49 = 1, then the transverse axis is horizontal, and lies along the line y = 0. The transverse axis is the line segment between the two foci, of length 10.

  • Algebra II - ,

    b/3 + 6=82

  • Algebra II - ,

    x-5x=2(-3x+4)

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