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A Student Thinks That the Graphs of the Equations x281−y225=1\frac{x^{2}}{81}-\frac{y^{2}}{25}=1 And y225−x281=1\frac{y^{2}}{25}-\frac{x^{2}}{81}=1

Question 131

Essay

A student thinks that the graphs of the equations
x281−y225=1\frac{x^{2}}{81}-\frac{y^{2}}{25}=1 and y225−x281=1\frac{y^{2}}{25}-\frac{x^{2}}{81}=1
are identical. Is the student correct? Explain.

Correct Answer:

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

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