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Beliebt Geometry >

((x-5)^2)/(144)+((y+2)^2)/(169)=1

Lösung

\frac{( x - 5 ) ^{2}}{144} + \frac{( y + 2 ) ^{2}}{169} = 1

Lösung

(h, k) = (5, - 2), a = 12, b = 13

Schritte zur Lösung

\frac{( x - 5 ) ^{2}}{144} + \frac{( y + 2 ) ^{2}}{169} = 1

Rewrite

\frac{( x - 5 ) ^{2}}{144} + \frac{( y + 2 ) ^{2}}{169} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (5, - 2), a = 12, b = 13

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (5, - 2), b = 13, a = 12

Graph

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