((x-0)^2)/(25)+((y-0)^2)/(2.25)=1

Lösung

\frac{( x - 0 ) ^{2}}{25} + \frac{( y - 0 ) ^{2}}{2.25} = 1

(h, k) = (0, 0), a = 5, b = 2.25

Schritte zur Lösung

\frac{( x - 0 ) ^{2}}{25} + \frac{( y - 0 ) ^{2}}{2.25} = 1

Rewrite

\frac{( x - 0 ) ^{2}}{25} + \frac{( y - 0 ) ^{2}}{2.25} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{5 ^{2}} + \frac{( y - 0 ) ^{2}}{( 2.25 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 5, b = 2.25

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 5, b = 2.25

\frac{( x - 5 ) ^{2}}{49} + \frac{( y - 8 ) ^{2}}{11} = 1

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

4 x^{2} + 2 x + y^{2} - 10 y = 6

36 x^{2} + 4 y^{2} - 49 = 0

9 x^{2} + 4 y^{2} + 72 x - 8 y - 176 = 0