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Beliebt Geometry >

achse ((x-3)^2)/(49)+((y+6)^2)/(100)=1

Lösung

achse

\frac{( x - 3 ) ^{2}}{49} + \frac{( y + 6 ) ^{2}}{100} = 1

Lösung

semi - major axis b = 10, semi - minor axis a = 7

Schritte zur Lösung

\frac{( x - 3 ) ^{2}}{49} + \frac{( y + 6 ) ^{2}}{100} = 1

Rewrite

\frac{( x - 3 ) ^{2}}{49} + \frac{( y + 6 ) ^{2}}{100} = 1

in the form of the standard ellipse equation

\frac{( x - 3 ) ^{2}}{7 ^{2}} + \frac{( y - ( - 6 ) ) ^{2}}{1 0 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (3, - 6), a = 7, b = 10

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (3, - 6), b = 10, a = 7

Graph

Beliebte Beispiele

achse 5x^2+2y^2=10

a x i s 5 x^{2} + 2 y^{2} = 10

achse x^2+4y^2-6x+8y+9=0

a x i s x^{2} + 4 y^{2} - 6 x + 8 y + 9 = 0

achse 2x^2+y^2=50

a x i s 2 x^{2} + y^{2} = 50

achse 4x^2+2y^2+2x-8y+7=0

a x i s 4 x^{2} + 2 y^{2} + 2 x - 8 y + 7 = 0

achse ((x+4)^2)/9+((y-6)^2)/(25)=1

a x i s \frac{( x + 4 ) ^{2}}{9} + \frac{( y - 6 ) ^{2}}{25} = 1