Use a Graphing Calculator to Solve the Nonlinear System $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 7 \\y = \sqrt [ 3 ] { x + 6 }\end{array}$$

question 85

Multiple Choice

Use a graphing calculator to solve the nonlinear system. Give x- and y-coordinates to the nearest hundredth.
- $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 7 \\y = \sqrt [ 3 ] { x + 6 }\end{array}$$

• A) \(\{ ( - 2.29 , - 1.32 ) , ( 2.29,1.32 ) \}\)
• B) \(\{ ( - 1.76 , - 1.98 ) , ( 2.13 , - 1.57 ) \}\)
• C) \(\{ ( - 2.13,1.57 ) , ( 1.76,1.98 ) \}\)
• D) \(\{ ( - 2.13 , - 1.57 ) , ( 1.76 , - 1.98 ) \}\)

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Definitions:

Romanticism

A Western cultural phenomenon, beginning around 1750 and ending about 1850, that gave precedence to feeling and imagination over reason and thought. More narrowly, the art movement that flourished from about 1800 to 1840.

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An artistic and architectural movement that emerged in the mid-18th century, inspired by the classical art and culture of ancient Greece and Rome.

Rococo

An 18th-century artistic movement and style, originating in France, characterized by elaborate ornamentation, intricate patterns, and themes of love, nature, and light-heartedness.

Paulina Borghese

A prominent Italian noblewoman, the sister of Napoleon Bonaparte, known for her beauty and the famous sculpture by Antonio Canova depicting her as Venus Victorious.