What is the axis ((x-3)^2)/(49)+((y+6)^2)/(100)=1 ?

The axis ((x-3)^2)/(49)+((y+6)^2)/(100)=1 is semi-major axis b=10, semi-minor axis a=7

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axis ((x-3)^2)/(49)+((y+6)^2)/(100)=1

axis

semi - major axis b = 10, semi - minor axis a = 7

Solution steps

\frac{( x - 3 ) ^{2}}{49} + \frac{( y + 6 ) ^{2}}{100} = 1

Rewrite

\frac{( x - 3 ) ^{2}}{49} + \frac{( y + 6 ) ^{2}}{100} = 1

in the form of the standard ellipse equation

\frac{( x - 3 ) ^{2}}{7 ^{2}} + \frac{( y - ( - 6 ) ) ^{2}}{1 0 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (3, - 6), a = 7, b = 10

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (3, - 6), b = 10, a = 7

What is the axis ((x-3)^2)/(49)+((y+6)^2)/(100)=1 ?
The axis ((x-3)^2)/(49)+((y+6)^2)/(100)=1 is semi-major axis b=10, semi-minor axis a=7