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Beliebt Geometry >

((x+2)^2)/(64)+((y-1)^2)/(81)=1

Lösung

\frac{( x + 2 ) ^{2}}{64} + \frac{( y - 1 ) ^{2}}{81} = 1

Lösung

(h, k) = (- 2, 1), a = 8, b = 9

Schritte zur Lösung

\frac{( x + 2 ) ^{2}}{64} + \frac{( y - 1 ) ^{2}}{81} = 1

Rewrite

\frac{( x + 2 ) ^{2}}{64} + \frac{( y - 1 ) ^{2}}{81} = 1

in the form of the standard ellipse equation

\frac{( x - ( - 2 ) ) ^{2}}{8 ^{2}} + \frac{( y - 1 ) ^{2}}{9 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 2, 1), a = 8, b = 9

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 2, 1), b = 9, a = 8

Graph

Beliebte Beispiele

3 x^{2} + y^{2} = 52

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

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

3 x^{2} + y^{2} - 25 = 0

3x^2+12y^2+6x-24y+6=0

3 x^{2} + 12 y^{2} + 6 x - 24 y + 6 = 0

x^2+4y^2+2x-16y+13=0

x^{2} + 4 y^{2} + 2 x - 16 y + 13 = 0