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A Student Thinks That the Graphs of the Equations x236y236=1 and y236x236=1\frac { x ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 36 } = 1 \text { and } \frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 36 } = 1

Question 12

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A student thinks that the graphs of the equations x236y236=1 and y236x236=1\frac { x ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 36 } = 1 \text { and } \frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 36 } = 1 are identical. Is the student correct? Explain.

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No, the student is incorrect. Although b...

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