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Beliebt Geometry >

((x-6)^2)/(122)+((y-8)^2)/(12200/121)=1

Lösung

\frac{( x - 6 ) ^{2}}{122} + \frac{( y - 8 ) ^{2}}{\frac{12200}{121}} = 1

Lösung

(h, k) = (6, 8), a = 122, b = \frac{10 122}{11}

Schritte zur Lösung

\frac{( x - 6 ) ^{2}}{122} + \frac{( y - 8 ) ^{2}}{\frac{12200}{121}} = 1

Rewrite

\frac{( x - 6 ) ^{2}}{122} + \frac{( y - 8 ) ^{2}}{\frac{12200}{121}} = 1

in the form of the standard ellipse equation

\frac{( x - 6 ) ^{2}}{( 122 ) ^{2}} + \frac{( y - 8 ) ^{2}}{( \frac{10 122}{11} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (6, 8), a = 122, b = \frac{10 122}{11}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (6, 8), a = 122, b = \frac{10 122}{11}

Graph

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