anonymous
  • anonymous
what is the major axis of the ellipse (x-9)^2/25 + (y+2)^2/100 = 1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Owlcoffee
  • Owlcoffee
every elipse has the equation: \[\frac{ x^2 }{ a^2 }+\frac{ y^2 }{ b^2}=1\] \[\frac{ y^2 }{ a^2 }+\frac{ x^2 }{ b^2 }=1\] The first equation represents an elipse whose major axis is on the x-axis and the second equation represents an elipse whose major axis is on the y-axis. The same is applied when the elipse ha sbeen pivoted : \[\frac{ (x- \alpha )^2 }{ a^2 }+\frac{ (y- \beta)^2 }{ b^2 }=1\] \[\frac{ (y- \beta )^2 }{ a^2 }+\frac{ (x- \alpha)^2 }{ b^2 }=1\] Where the first equation represents the equation of a pivoted elipse with the focal axis parallel to the x-axis. The second one represents a pivoted elipse whose focal axis is parallel to the y-axis.

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