Identify the Center and Radius of the Circle Below $$x ^ { 2 } + y ^ { 2 } + 10 x + 10 y - 5 = 0$$

question 33

Multiple Choice

Identify the center and radius of the circle below.
$$x ^ { 2 } + y ^ { 2 } + 10 x + 10 y - 5 = 0$$

• A) Center: \(( 5,5 )\)
• Radius: \(\sqrt { 15 }\)
• B) Center: \(( - 5 , - 5 )\)
• Radius: \(\sqrt { 15 }\)
• C) Center: \(( 5,5 )\)
• Radius: \(\sqrt { 55 }\)
• D) Center: \(( - 5 , - 5 )\)
• Radius: \(\sqrt { 55 }\)
• E) Center: \(( - 10 , - 10 )\)
• Radius: \(\sqrt { 205 }\)

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Definitions:

Infections

The invasion and multiplication of microorganisms such as bacteria, viruses, and fungi that are not normally present within the body, often causing disease or illness.

Incidence

The frequency or rate at which a particular event or condition occurs within a defined population.

HIV Infection

A virus that attacks the immune system, the body's natural defense against illness, leading to AIDS if not treated.

Injection Drug Use

The administration of drugs into the body with a needle and syringe, often associated with a higher risk of infectious diseases.