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Beliebt Geometry >

(((x+2)^2)/(25))+(((y-1)^2)/(169))=1

Lösung

(\frac{( x + 2 ) ^{2}}{25}) + (\frac{( y - 1 ) ^{2}}{169}) = 1

Lösung

(h, k) = (- 2, 1), a = 5, b = 13

Schritte zur Lösung

\frac{( x + 2 ) ^{2}}{25} + \frac{( y - 1 ) ^{2}}{169} = 1

Rewrite

\frac{( x + 2 ) ^{2}}{25} + \frac{( y - 1 ) ^{2}}{169} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 2, 1), a = 5, b = 13

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 2, 1), b = 13, a = 5

Graph

Beliebte Beispiele

5 y^{2} + 4 x^{2} = \frac{5}{4}

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

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

4x^2-40x+9y^2+54y+145=0

4 x^{2} - 40 x + 9 y^{2} + 54 y + 145 = 0

16x^2+25y^2+64x-200y+64=0

16 x^{2} + 25 y^{2} + 64 x - 200 y + 64 = 0

(x^2)/(2.6^2)+(y^2)/(2.43^2)=1

\frac{x ^{2}}{2. 6 ^{2}} + \frac{y ^{2}}{2.4 3 ^{2}} = 1