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Beliebt Geometry >

((x-5)^2}{25}+\frac{(y+3)^2)/9 =1

Lösung

\frac{( x - 5 ) ^{2}}{25} + \frac{( y + 3 ) ^{2}}{9} = 1

Lösung

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

Schritte zur Lösung

\frac{( x - 5 ) ^{2}}{25} + \frac{( y + 3 ) ^{2}}{9} = 1

Rewrite

\frac{( x - 5 ) ^{2}}{25} + \frac{( y + 3 ) ^{2}}{9} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

foki 16y^2-25x^2=400

f oc i 16 y^{2} - 25 x^{2} = 400

exzentrizität 16x^2+25y^2=400

ecce n t r i c i t y 16 x^{2} + 25 y^{2} = 400

x^{2} + y^{2} = 25

(x^2)/(64)+(y^2)/(36)=1

\frac{x ^{2}}{64} + \frac{y ^{2}}{36} = 1

x^{2} + y^{2} = 6