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Beliebt Geometry >

((x+11)^2)/(100)+((y-4)^2)/(19^2)=1

Lösung

\frac{( x + 11 ) ^{2}}{100} + \frac{( y - 4 ) ^{2}}{1 9 ^{2}} = 1

Lösung

(h, k) = (- 11, 4), a = 10, b = 19

Schritte zur Lösung

\frac{( x + 11 ) ^{2}}{100} + \frac{( y - 4 ) ^{2}}{1 9 ^{2}} = 1

Rewrite

\frac{( x + 11 ) ^{2}}{100} + \frac{( y - 4 ) ^{2}}{1 9 ^{2}} = 1

in the form of the standard ellipse equation

\frac{( x - ( - 11 ) ) ^{2}}{1 0 ^{2}} + \frac{( y - 4 ) ^{2}}{1 9 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 11, 4), a = 10, b = 19

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 11, 4), b = 19, a = 10

Graph

Beliebte Beispiele

100x^2+9y^2=900

100 x^{2} + 9 y^{2} = 900

25x^2+4y^2-225=0

25 x^{2} + 4 y^{2} - 225 = 0

16x^2+36y^2-224x+208=0

16 x^{2} + 36 y^{2} - 224 x + 208 = 0

((x-1)^2)/(25)+((y+3)^2)/(5100)=1

\frac{( x - 1 ) ^{2}}{25} + \frac{( y + 3 ) ^{2}}{5100} = 1

(x^2)/(12^2)+(y^2)/(5^2)=1

\frac{x ^{2}}{1 2 ^{2}} + \frac{y ^{2}}{5 ^{2}} = 1