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Beliebt Geometry >

(x^2)/(16)+((y+4)^2)/(81)=1

Lösung

\frac{x ^{2}}{16} + \frac{( y + 4 ) ^{2}}{81} = 1

Lösung

(h, k) = (0, - 4), a = 4, b = 9

Schritte zur Lösung

\frac{x ^{2}}{16} + \frac{( y + 4 ) ^{2}}{81} = 1

Rewrite

\frac{x ^{2}}{16} + \frac{( y + 4 ) ^{2}}{81} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{4 ^{2}} + \frac{( y - ( - 4 ) ) ^{2}}{9 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, - 4), a = 4, b = 9

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, - 4), b = 9, a = 4

Graph

Beliebte Beispiele

16x^2+25y^2-32x+50y+16=0

4x^2+16y^2-64=0

(x^2)/(12)+(y^2)/(80)=1