Graph the Ellipse $$45 x ^ { 2 } + y ^ { 2 } = 225$$

question 42

Multiple Choice

Graph the ellipse. Label the intercepts.
- $$45 x ^ { 2 } + y ^ { 2 } = 225$$

• A) \(( - \sqrt { 5 } , 0 ) , ( \sqrt { 5 } , 0 ) , ( 0 , - \sqrt { 15 } ) , ( 0 , \sqrt { 15 } )\)
• B) \(( - \sqrt { 5 } , 0 ) , ( \sqrt { 5 } , 0 ) , ( 0 , - 15 ) , ( 0,15 )\)
• C) \(( - 5,0 ) , ( 5,0 ) , ( 0 , - \sqrt { 15 } ) , ( 0 , \sqrt { 15 } )\)
• D) \(( - 5,0 ) , ( 5,0 ) , ( 0 , - 15 ) , ( 0,15 )\)

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Definitions:

Syllogisms

Logical arguments containing three parts: a major premise, a minor premise, and a conclusion, used to derive a truth from assumed truths.

Empirical Evidence

Information acquired by observation or experimentation that is used to confirm or refute a hypothesis or theory.

Evaluating Facts

The process of assessing the accuracy and relevance of information to determine truth.

Objective

Based on facts rather than feelings or opinions; not influenced by personal feelings or interpretations.