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Beliebt Geometry >

16(x-4)^2+25(y+2)^2=400

Lösung

16 (x - 4)^{2} + 25 (y + 2)^{2} = 400

Lösung

(h, k) = (4, - 2), a = 5, b = 4

Schritte zur Lösung

16 (x - 4)^{2} + 25 (y + 2)^{2} = 400

Rewrite

16 (x - 4)^{2} + 25 (y + 2)^{2} = 400

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (4, - 2), a = 5, b = 4

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (4, - 2), a = 5, b = 4

Graph

Beliebte Beispiele

8 x^{2} + 16 y^{2} = 1

4 x^{2} + 9 y^{2} \leq 36

x^2+6x+9+y^2=28.09+(9x^2)/(16)

x^{2} + 6 x + 9 + y^{2} = 28.09 + \frac{9 x ^{2}}{16}

((x+2)^2}{36}+\frac{(y-3)^2)/9 =1

\frac{( x + 2 ) ^{2}}{36} + \frac{( y - 3 ) ^{2}}{9} = 1

-x^2-(y^2)/4 =-1

- x^{2} - \frac{y ^{2}}{4} = - 1