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Beliebt Geometry >

15x^2+15y^2+16y>= 0

Lösung

15 x^{2} + 15 y^{2} + 16 y \geq 0

Lösung

(h, k) = (0, - \frac{8}{15}), a = \frac{8}{15}, b = \frac{8}{15}

Schritte zur Lösung

15 x^{2} + 15 y^{2} + 16 y \geq 0

Rewrite

15 x^{2} + 15 y^{2} + 16 y \geq 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{8}{15} ) ^{2}} + \frac{( y - ( - \frac{8}{15} ) ) ^{2}}{( \frac{8}{15} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, - \frac{8}{15}), a = \frac{8}{15}, b = \frac{8}{15}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, - \frac{8}{15}), b = \frac{8}{15}, a = \frac{8}{15}

Graph

Beliebte Beispiele

((y-3)^2)/(64)+((x+5)^2)/(81)=1

\frac{( y - 3 ) ^{2}}{64} + \frac{( x + 5 ) ^{2}}{81} = 1

4 - 4 x^{2} - y^{2} \geq 0

x^{2} + 5 y^{2} = 20

(1+b+ia)/(1+b-ia)=b+ia

\frac{1 + b + ia}{1 + b - ia} = b + ia

((x-0)^2)/4+((y-0)^2)/(16)=1

\frac{( x - 0 ) ^{2}}{4} + \frac{( y - 0 ) ^{2}}{16} = 1