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

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 $$\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 16 } = 1 \text { and } \frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 4 } = 1$$ are identical. Is the student correct? Explain.

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Definitions:

Guarantee

An assurance or promise that certain conditions will be fulfilled, often used in the context of a product's quality or the outcome of a service.

Verbal Agreement

An agreement made through spoken words between parties that can be legally binding, despite the lack of a written contract.

Specific Performance

A legal remedy requiring a party to fulfill their obligations under a contract, rather than compensating the other party with money.

Breach of Contract

The failure to perform as stipulated by the terms of a legally binding agreement.