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Beliebt Geometry >

center ((y+5)^2)/9-((x-3)^2)/(25)=9

Lösung

center

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

Lösung

(3, - 5)

Schritte zur Lösung

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (3, - 5), a = 9, b = 15

And the center is:

(3, - 5)

Graph

Beliebte Beispiele

center (x^2}{16}-\frac{y^2)/9 =1

ce n t er \frac{x ^{2}}{16} - \frac{y ^{2}}{9} = 1

center ((y-7)^2)/9-(x+4)^2=1

ce n t er \frac{( y - 7 ) ^{2}}{9} - (x + 4)^{2} = 1

center 2y^2-9x^2-18x+20+5=0

ce n t er 2 y^{2} - 9 x^{2} - 18 x + 20 + 5 = 0

center x^2+36y-32x-y^2=75

ce n t er x^{2} + 36 y - 32 x - y^{2} = 75

center-3x^2+2y^2+6x-7y=7

ce n t er - 3 x^{2} + 2 y^{2} + 6 x - 7 y = 7