+0  
 
0
911
3
avatar+152 

3333333333333

Best Answer 

 #2
avatar+152 
+5

thank you so much!!!

 #1
avatar+128090 
+5

The equation is:

 

(y - 5)^2 / 9  - (x - 4)^2/ 4  = 1         multiply both sides by 36

 

4(y - 5)^2  - 9(x - 4)^2   = 36       expand   

 

4(y^2 - 10y + 25) - 9(x^2 - 8x + 16)  = 36    simplify

 

4y^2 - 40y + 100 - 9x^2 + 72x  - 144  = 36

 

 4y^2  - 40y  -9x^2 + 72x - 80   = 0       to put in the proper form, multiply by -1 and rearrange

 

9x^2 - 4y^2 -72x + 40y + 80  = 0

 

Here's the graph of both forms......notice that they "overlay" each other......so......they are the same graph!!

 

https://www.desmos.com/calculator/i03ahreyrr

 

 

 Jun 7, 2015
 #2
avatar+152 
+5
Best Answer

thank you so much!!!

 #3
avatar+118587 
0

How did you know that was the equation Chris :/

I guess it is just one of life's mysteries.  :)

 Jun 7, 2015

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