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im torn between top left and bottom right graph. 

please help me figure it out

 Mar 14, 2019

Best Answer 

 #1
avatar+411 
+3

When you solve (x^2-25)/(x+5), you get that the top factors to (x+5)(x-5), which cancels out with the bottom to get x-5, so you know that the line must be y=x-5. Since (x+5) canceled out, the x-value for the hole is x=-5. Plugging that in to the line y=x-5 yields (-5,-10) which results in the answer being the bottom right graph, which you selected.

 
 Mar 14, 2019
 #1
avatar+411 
+3
Best Answer

When you solve (x^2-25)/(x+5), you get that the top factors to (x+5)(x-5), which cancels out with the bottom to get x-5, so you know that the line must be y=x-5. Since (x+5) canceled out, the x-value for the hole is x=-5. Plugging that in to the line y=x-5 yields (-5,-10) which results in the answer being the bottom right graph, which you selected.

 
dgfgrafgdfge111 Mar 14, 2019

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