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Beliebt Geometry >

(x^2)/(36)+((y+9)^2)/(81)=1

Lösung

\frac{x ^{2}}{36} + \frac{( y + 9 ) ^{2}}{81} = 1

Lösung

(h, k) = (0, - 9), a = 6, b = 9

Schritte zur Lösung

\frac{x ^{2}}{36} + \frac{( y + 9 ) ^{2}}{81} = 1

Rewrite

\frac{x ^{2}}{36} + \frac{( y + 9 ) ^{2}}{81} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{6 ^{2}} + \frac{( y - ( - 9 ) ) ^{2}}{9 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, - 9), a = 6, b = 9

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, - 9), b = 9, a = 6

Graph

Beliebte Beispiele

(x-3)^2+((y+1)^2)/(49)=1

(x - 3)^{2} + \frac{( y + 1 ) ^{2}}{49} = 1

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22 y^{2} + 32 x^{2} - 308 y - 512 x + 2.422 = 0

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10x^2+40x+7y^2+70y+145=0

10 x^{2} + 40 x + 7 y^{2} + 70 y + 145 = 0