de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

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

Lösung

achse

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

Lösung

semi - major axis a = 5, semi - minor axis b = 3

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 9 ) ^{2}}{5 ^{2}} + \frac{( y - ( - 4 ) ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (9, - 4), a = 5, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (9, - 4), a = 5, b = 3

Graph

Beliebte Beispiele

achse 25x^2+16y^2=400

a x i s 25 x^{2} + 16 y^{2} = 400

achse 9x^2+4y^2+18x-8y-131=0

a x i s 9 x^{2} + 4 y^{2} + 18 x - 8 y - 131 = 0

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

a x i s \frac{( x - 1 ) ^{2}}{6} + \frac{( y - 3 ) ^{2}}{2} = 1

achse (x^2)/(64)+(y^2)/(100)=1

a x i s \frac{x ^{2}}{64} + \frac{y ^{2}}{100} = 1

achse (x^2)/9+(y^2)/(16)>1

a x i s \frac{x ^{2}}{9} + \frac{y ^{2}}{16} > 1