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Beliebt Geometry >

((x-1)^2)/(16)-((y+6)^2)/(49)=1

Lösung

\frac{( x - 1 ) ^{2}}{16} - \frac{( y + 6 ) ^{2}}{49} = 1

Lösung

(h, k) = (1, - 6), a = 4, b = 7

Schritte zur Lösung

\frac{( x - 1 ) ^{2}}{16} - \frac{( y + 6 ) ^{2}}{49} = 1

Rewrite

\frac{( x - 1 ) ^{2}}{16} - \frac{( y + 6 ) ^{2}}{49} = 1

in the form of a standard hyperbola equation

\frac{( x - 1 ) ^{2}}{4 ^{2}} - \frac{( y - ( - 6 ) ) ^{2}}{7 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (1, - 6), a = 4, b = 7

Graph

Beliebte Beispiele

((y+2)^2)/4-((x+3)^2)/9 =1

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

solvefor x,r(x)^2=(x-0.5)^2+(x+0.5)^2

so l v e f or x, r (x)^{2} = (x - 0.5)^{2} + (x + 0.5)^{2}

25(x-3)^2-5(y-1)^2=125

25 (x - 3)^{2} - 5 (y - 1)^{2} = 125

pi(a^2-b^2)=(49pi)/2

π (a^{2} - b^{2}) = \frac{49 π}{2}

a^{2} - b^{2} = 891