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Beliebt Geometry >

achse ((x-8)^2)/(49)+((y+1)^2)/(100)=1

Lösung

achse

\frac{( x - 8 ) ^{2}}{49} + \frac{( y + 1 ) ^{2}}{100} = 1

Lösung

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

Schritte zur Lösung

\frac{( x - 8 ) ^{2}}{49} + \frac{( y + 1 ) ^{2}}{100} = 1

Rewrite

\frac{( x - 8 ) ^{2}}{49} + \frac{( y + 1 ) ^{2}}{100} = 1

in the form of the standard ellipse equation

\frac{( x - 8 ) ^{2}}{7 ^{2}} + \frac{( y - ( - 1 ) ) ^{2}}{1 0 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (8, - 1), a = 7, b = 10

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (8, - 1), b = 10, a = 7

Graph

Beliebte Beispiele

achse (x^2)/(36)+(y^2)/(16)=1

a x i s \frac{x ^{2}}{36} + \frac{y ^{2}}{16} = 1

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

a x i s \frac{x ^{2}}{16} + (y - 4)^{2} = 1

achse 49x^2+64y^2=25

a x i s 49 x^{2} + 64 y^{2} = 25

achse x^2+4y^2=1

a x i s x^{2} + 4 y^{2} = 1

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

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