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Write the Word or Phrase That Best Completes Each Statement x24y216=1 and y216x24=1\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 16 } = 1 \text { and } \frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 4 } = 1

question 179

Short Answer

Write the word or phrase that best completes each statement or answers the question.
-A student thinks that the graphs of the equations x24y216=1 and y216x24=1\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 16 } = 1 \text { and } \frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 4 } = 1 are identical. Is the student correct? Explain.


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