Find the Center and Radius of the Circle $$5 x ^ { 2 } + 5 y ^ { 2 } + 20 x - 30 y - 60 = 0$$

question 36

Multiple Choice

Find the center and radius of the circle.
- $$5 x ^ { 2 } + 5 y ^ { 2 } + 20 x - 30 y - 60 = 0$$

• A) center: \(( 3 , - 2 )\), radius: 5
• B) center: \(( - 3,2 )\), radius: 25
• C) center: \(( - 2,3 )\), radius: 5
• D) center: \(( 2 , - 3 )\), radius: 25

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Definitions:

Flat

Referring to a surface or shape having a smooth, even, and continuous plane without any significant curvature or elevation.

Resonance Structures

Different Lewis structures that represent the same molecule, used to depict delocalized electrons within certain compounds.

Cyclopentadiene

A cyclic hydrocarbon with the formula C5H6, known for its role in Diels-Alder reactions.

Acidic Hydrogen

A hydrogen atom bonded to an electronegative atom, making it easily released as a proton (H+).