What is ((x-6)^2)/(36)+(y^2)/(100)=1 ?

The solution to ((x-6)^2)/(36)+(y^2)/(100)=1 is Ellipse with (h,k)=(6,0),a=6,b=10

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((x-6)^2)/(36)+(y^2)/(100)=1

\frac{( x - 6 ) ^{2}}{36} + \frac{y ^{2}}{100} = 1

(h, k) = (6, 0), a = 6, b = 10

Solution steps

\frac{( x - 6 ) ^{2}}{36} + \frac{y ^{2}}{100} = 1

Rewrite

\frac{( x - 6 ) ^{2}}{36} + \frac{y ^{2}}{100} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (6, 0), a = 6, b = 10

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (6, 0), b = 10, a = 6

\frac{2 y}{x ^{2} + y ^{2}} < 1

\frac{x ^{2}}{4 ^{2}} + \frac{y ^{2}}{2} = 1

\frac{x ^{2}}{6 ^{2}} + \frac{y ^{2}}{7 ^{2}} = 1

9 x^{2} + 25 y^{2} + 18 x - 50 y - 191 = 0

2 x^{2} + 4 y^{2} + 9 x + 9 y - 13 = 0

What is ((x-6)^2)/(36)+(y^2)/(100)=1 ?
The solution to ((x-6)^2)/(36)+(y^2)/(100)=1 is Ellipse with (h,k)=(6,0),a=6,b=10