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Beliebt Geometry >

(x^2)/(49)+(y^2)/(40)=1

Lösung

\frac{x ^{2}}{49} + \frac{y ^{2}}{40} = 1

Lösung

(h, k) = (0, 0), a = 7, b = 210

Schritte zur Lösung

\frac{x ^{2}}{49} + \frac{y ^{2}}{40} = 1

Rewrite

\frac{x ^{2}}{49} + \frac{y ^{2}}{40} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{7 ^{2}} + \frac{( y - 0 ) ^{2}}{( 2 10 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 7, b = 210

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 7, b = 210

Graph

Beliebte Beispiele

((x-5)^2)/9+((y-2)^2)/(36)=1

\frac{( x - 5 ) ^{2}}{9} + \frac{( y - 2 ) ^{2}}{36} = 1

100x^2+64y^2-100x-1575=0

100 x^{2} + 64 y^{2} - 100 x - 1575 = 0

x^2+(y^2)/(29)=1

x^{2} + \frac{y ^{2}}{29} = 1

100(x^2-x)+16(y^2-4y)=147

100 (x^{2} - x) + 16 (y^{2} - 4 y) = 147

14 x^{2} + 9 y^{2} = 126