What is the axis (x^2)/(144)+(y^2)/(81)=1 ?

The axis (x^2)/(144)+(y^2)/(81)=1 is semi-major axis a=12, semi-minor axis b=9

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axis (x^2)/(144)+(y^2)/(81)=1

axis

\frac{x ^{2}}{144} + \frac{y ^{2}}{81} = 1

semi - major axis a = 12, semi - minor axis b = 9

Solution steps

\frac{x ^{2}}{144} + \frac{y ^{2}}{81} = 1

Rewrite

\frac{x ^{2}}{144} + \frac{y ^{2}}{81} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{1 2 ^{2}} + \frac{( y - 0 ) ^{2}}{9 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 12, b = 9

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 12, b = 9

16 x^{2} - 64 x + 9 y^{2} - 54 y = - 1

\frac{x ^{2}}{16} + \frac{y ^{2}}{7} = 1

4 x^{2} + 9 y^{2} - 64 x + 54 y + 301 = 0

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

\frac{( x - 5 ) ^{2}}{25} + \frac{( y - 4 ) ^{2}}{4} = 1

What is the axis (x^2)/(144)+(y^2)/(81)=1 ?
The axis (x^2)/(144)+(y^2)/(81)=1 is semi-major axis a=12, semi-minor axis b=9