What is (x^2)/(7.5^2)+(y^2)/(9^2)=1 ?

The solution to (x^2)/(7.5^2)+(y^2)/(9^2)=1 is Ellipse with (h,k)=(0,0),a=7.5,b=9

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(x^2)/(7.5^2)+(y^2)/(9^2)=1

\frac{x ^{2}}{7. 5 ^{2}} + \frac{y ^{2}}{9 ^{2}} = 1

(h, k) = (0, 0), a = 7.5, b = 9

Solution steps

\frac{x ^{2}}{7. 5 ^{2}} + \frac{y ^{2}}{9 ^{2}} = 1

Rewrite

\frac{x ^{2}}{7. 5 ^{2}} + \frac{y ^{2}}{9 ^{2}} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{7. 5 ^{2}} + \frac{( y - 0 ) ^{2}}{9 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 7.5, b = 9

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 9, a = 7.5

9 y^{2} = 36 - 4 x^{2}

\frac{x ^{2}}{98} + \frac{y ^{2}}{2} = 1

x^{2} + 4 y^{2} + 10 x - 8 y + 13 = 0

x^{2} + 4 y^{2} + 12 x = 0

\frac{( x - 2 ) ^{2}}{16} + \frac{( y - 2 ) ^{2}}{25} = 1

What is (x^2)/(7.5^2)+(y^2)/(9^2)=1 ?
The solution to (x^2)/(7.5^2)+(y^2)/(9^2)=1 is Ellipse with (h,k)=(0,0),a=7.5,b=9