Identify the vertices and asymptotes of the hyperbola. x225−y281=1\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 81 } = 125x2−81y2=1
A) vertices: (−5,0) ,(5,0) ( - 5,0 ) , ( 5,0 ) (−5,0) ,(5,0) asymptotes: y=−59x,y=59xy = - \frac { 5 } { 9 } x , y = \frac { 5 } { 9 } xy=−95x,y=95x
B) vertices: (−5,0) ,(5,0) ( - 5,0 ) , ( 5,0 ) (−5,0) ,(5,0) asymptotes: y=−95x,y=95xy = - \frac { 9 } { 5 } x , y = \frac { 9 } { 5 } xy=−59x,y=59x
C) vertices: (0,−9) ,(0,9) ( 0 , - 9 ) , ( 0,9 ) (0,−9) ,(0,9) asymptotes: y=−59x,y=59xy = - \frac { 5 } { 9 } x , y = \frac { 5 } { 9 } xy=−95x,y=95x
D) vertices: (−9,0) ,(9,0) ( - 9,0 ) , ( 9,0 ) (−9,0) ,(9,0) asymptotes: y=−95x,y=95xy = - \frac { 9 } { 5 } x , y = \frac { 9 } { 5 } xy=−59x,y=59x
E) vertices: (−9,0) ,(9,0) ( - 9,0 ) , ( 9,0 ) (−9,0) ,(9,0) asymptotes: y=−59x,y=59xy = - \frac { 5 } { 9 } x , y = \frac { 5 } { 9 } xy=−95x,y=95x
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