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Beliebt Geometry >

achse ((x-5)^2)/(49)+((y-9)^2)/(25)=1

Lösung

achse

\frac{( x - 5 ) ^{2}}{49} + \frac{( y - 9 ) ^{2}}{25} = 1

Lösung

semi - major axis a = 7, semi - minor axis b = 5

Schritte zur Lösung

\frac{( x - 5 ) ^{2}}{49} + \frac{( y - 9 ) ^{2}}{25} = 1

Rewrite

\frac{( x - 5 ) ^{2}}{49} + \frac{( y - 9 ) ^{2}}{25} = 1

in the form of the standard ellipse equation

\frac{( x - 5 ) ^{2}}{7 ^{2}} + \frac{( y - 9 ) ^{2}}{5 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (5, 9), a = 7, b = 5

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (5, 9), a = 7, b = 5

Graph

Beliebte Beispiele

achse (x^2)/(56)+(y^2)/(36)=1

a x i s \frac{x ^{2}}{56} + \frac{y ^{2}}{36} = 1

achse 25x^2+16y^2+100x+96y-156=0

a x i s 25 x^{2} + 16 y^{2} + 100 x + 96 y - 156 = 0

achse ((x-5)^2)/9+((y-3)^2)/(16)=1

a x i s \frac{( x - 5 ) ^{2}}{9} + \frac{( y - 3 ) ^{2}}{16} = 1

achse x^2+4y^2=25

a x i s x^{2} + 4 y^{2} = 25

achse 4x^2+9y^2-8x-36y+4=0

a x i s 4 x^{2} + 9 y^{2} - 8 x - 36 y + 4 = 0