What is (x^2)/(2.89^2)+(y^2)/(2.84^2)=1 ?

The solution to (x^2)/(2.89^2)+(y^2)/(2.84^2)=1 is Ellipse with (h,k)=(0,0),a=2.89,b=2.84

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(x^2)/(2.89^2)+(y^2)/(2.84^2)=1

\frac{x ^{2}}{2.8 9 ^{2}} + \frac{y ^{2}}{2.8 4 ^{2}} = 1

(h, k) = (0, 0), a = 2.89, b = 2.84

Solution steps

\frac{x ^{2}}{2.8 9 ^{2}} + \frac{y ^{2}}{2.8 4 ^{2}} = 1

Rewrite

\frac{x ^{2}}{2.8 9 ^{2}} + \frac{y ^{2}}{2.8 4 ^{2}} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{2.8 9 ^{2}} + \frac{( y - 0 ) ^{2}}{2.8 4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 2.89, b = 2.84

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 2.89, b = 2.84

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

\frac{( x + 2 ) ^{2}}{16} + \frac{( y - 5 ) ^{2}}{4} = 1

(\frac{y - ( - 2 )}{x - 3}) (\frac{y - 1}{x - ( - 2 )}) = - 6

x^{2} + 9 y^{2} - 14 x + 36 y + 49 = 0

13 x^{2} - 10 x + 2 + y^{2} = 4 x - 1

What is (x^2)/(2.89^2)+(y^2)/(2.84^2)=1 ?
The solution to (x^2)/(2.89^2)+(y^2)/(2.84^2)=1 is Ellipse with (h,k)=(0,0),a=2.89,b=2.84