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

Question

Quizplus · Accepted Answer

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

A Student Thinks That the Graphs of the Equations x236−y236=1 and y236−x236=1\frac { x ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 36 } = 1 \text { and } \frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 36 } = 136x2​−36y2​=1 and 36y2​−36x2​=1

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