What is ((x+8)^2)/(20)+((y+36)^2)/(36)=1 ?

The solution to ((x+8)^2)/(20)+((y+36)^2)/(36)=1 is Ellipse with (h,k)=(-8,-36),a=2sqrt(5),b=6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

((x+8)^2)/(20)+((y+36)^2)/(36)=1

\frac{( x + 8 ) ^{2}}{20} + \frac{( y + 36 ) ^{2}}{36} = 1

(h, k) = (- 8, - 36), a = 25, b = 6

Solution steps

\frac{( x + 8 ) ^{2}}{20} + \frac{( y + 36 ) ^{2}}{36} = 1

Rewrite

\frac{( x + 8 ) ^{2}}{20} + \frac{( y + 36 ) ^{2}}{36} = 1

in the form of the standard ellipse equation

\frac{( x - ( - 8 ) ) ^{2}}{( 2 5 ) ^{2}} + \frac{( y - ( - 36 ) ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 8, - 36), a = 25, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 8, - 36), b = 6, a = 25

What is ((x+8)^2)/(20)+((y+36)^2)/(36)=1 ?
The solution to ((x+8)^2)/(20)+((y+36)^2)/(36)=1 is Ellipse with (h,k)=(-8,-36),a=2sqrt(5),b=6