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Algebra-Please check

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For the ellipse (x-2)^2/49 + (y+1)^2/25=1
List center: (2,-1)
the foci: -(sqrt 74) AND +(SQRT 74,0)
Major axis: x=2
Minor axis: y= -1
Vertices: (7,0) (-7,0) (0,5) (0,-5)

Is this correct?

  • Algebra-Please check -

    major semi axis 7
    minor semi axis 5
    these are half lengths from the center to the vertices

    vertices
    The center is at (2, -1)
    therefore we have right and left vertices at 2+7 and at 2-7 in x when y is -1
    thus
    (9, -1) and (-5,-1)
    Then the top and bottom vertices at
    x = 2 an y = -1+5 and at -1-5
    thus at
    (2,4) and at (2,-6)

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