What is ((y-13)^2)/9-((x-10)^2)/(49)=1 ?

The solution to ((y-13)^2)/9-((x-10)^2)/(49)=1 is Hyperbola with (h,k)=(10,13),a=3,b=7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

((y-13)^2)/9-((x-10)^2)/(49)=1

\frac{( y - 13 ) ^{2}}{9} - \frac{( x - 10 ) ^{2}}{49} = 1

(h, k) = (10, 13), a = 3, b = 7

Solution steps

\frac{( y - 13 ) ^{2}}{9} - \frac{( x - 10 ) ^{2}}{49} = 1

Rewrite

\frac{( y - 13 ) ^{2}}{9} - \frac{( x - 10 ) ^{2}}{49} = 1

in the form of a standard hyperbola equation

\frac{( y - 13 ) ^{2}}{3 ^{2}} - \frac{( x - 10 ) ^{2}}{7 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (10, 13), a = 3, b = 7

\frac{x ^{2}}{3} - \frac{y ^{2}}{3} = 1

y^{2} = x^{2} + 2 x

625 y^{2} - 400 x^{2} = 2500

y^{2} - y - x - 3 = x^{2} - x - y - 1

(y + 2)^{2} - x^{2} + y - 9 = 0

What is ((y-13)^2)/9-((x-10)^2)/(49)=1 ?
The solution to ((y-13)^2)/9-((x-10)^2)/(49)=1 is Hyperbola with (h,k)=(10,13),a=3,b=7