What is ((x-1)^2)/(45)+((y-7)^2)/(81)=1 ?

The solution to ((x-1)^2)/(45)+((y-7)^2)/(81)=1 is Ellipse with (h,k)=(1,7),a=3sqrt(5),b=9

Popular >

((x-1)^2)/(45)+((y-7)^2)/(81)=1

\frac{( x - 1 ) ^{2}}{45} + \frac{( y - 7 ) ^{2}}{81} = 1

(h, k) = (1, 7), a = 35, b = 9

Solution steps

\frac{( x - 1 ) ^{2}}{45} + \frac{( y - 7 ) ^{2}}{81} = 1

Rewrite

\frac{( x - 1 ) ^{2}}{45} + \frac{( y - 7 ) ^{2}}{81} = 1

in the form of the standard ellipse equation

\frac{( x - 1 ) ^{2}}{( 3 5 ) ^{2}} + \frac{( y - 7 ) ^{2}}{9 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (1, 7), a = 35, b = 9

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (1, 7), b = 9, a = 35

\frac{( x + 1 ) ^{2}}{100} + \frac{( y - 6 ) ^{2}}{64} = 1

\frac{( x - 5 ) ^{2}}{8} + \frac{( y + 1 ) ^{2}}{12} = 1

\frac{x ^{2}}{49} + \frac{y ^{2}}{48} = 1

3 x^{2} + 3 y^{2} + 24 y = 0

5 x^{2} + 7 y^{2} = 9

What is ((x-1)^2)/(45)+((y-7)^2)/(81)=1 ?
The solution to ((x-1)^2)/(45)+((y-7)^2)/(81)=1 is Ellipse with (h,k)=(1,7),a=3sqrt(5),b=9