What is ((x-100)^2)/(400)+((y-90)^2)/(900)=1 ?

The solution to ((x-100)^2)/(400)+((y-90)^2)/(900)=1 is Ellipse with (h,k)=(100,90),a=20,b=30

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((x-100)^2)/(400)+((y-90)^2)/(900)=1

\frac{( x - 100 ) ^{2}}{400} + \frac{( y - 90 ) ^{2}}{900} = 1

(h, k) = (100, 90), a = 20, b = 30

Solution steps

\frac{( x - 100 ) ^{2}}{400} + \frac{( y - 90 ) ^{2}}{900} = 1

Rewrite

\frac{( x - 100 ) ^{2}}{400} + \frac{( y - 90 ) ^{2}}{900} = 1

in the form of the standard ellipse equation

\frac{( x - 100 ) ^{2}}{2 0 ^{2}} + \frac{( y - 90 ) ^{2}}{3 0 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (100, 90), a = 20, b = 30

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (100, 90), b = 30, a = 20

What is ((x-100)^2)/(400)+((y-90)^2)/(900)=1 ?
The solution to ((x-100)^2)/(400)+((y-90)^2)/(900)=1 is Ellipse with (h,k)=(100,90),a=20,b=30