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Beliebt Geometry >

((x-4)^2)/(25)+((y+7)^2)/(16)=1

Lösung

\frac{( x - 4 ) ^{2}}{25} + \frac{( y + 7 ) ^{2}}{16} = 1

Lösung

(h, k) = (4, - 7), a = 5, b = 4

Schritte zur Lösung

\frac{( x - 4 ) ^{2}}{25} + \frac{( y + 7 ) ^{2}}{16} = 1

Rewrite

\frac{( x - 4 ) ^{2}}{25} + \frac{( y + 7 ) ^{2}}{16} = 1

in the form of the standard ellipse equation

\frac{( x - 4 ) ^{2}}{5 ^{2}} + \frac{( y - ( - 7 ) ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (4, - 7), a = 5, b = 4

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (4, - 7), a = 5, b = 4

Graph

Beliebte Beispiele

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

((X-3)^2)/(169)+((Y-2)^2)/(144)=1

\frac{( X - 3 ) ^{2}}{169} + \frac{( Y - 2 ) ^{2}}{144} = 1

25x^2+350x+16y^2+96y-2231=0

25 x^{2} + 350 x + 16 y^{2} + 96 y - 2231 = 0

64y^2-512y-(-x^2-16x+105)=0

64 y^{2} - 512 y - (- x^{2} - 16 x + 105) = 0

16x^2+25y^2-96x-300y+644=0

16 x^{2} + 25 y^{2} - 96 x - 300 y + 644 = 0