Find the General Form of the Equation of the The Circle

question 137

Multiple Choice

Find the general form of the equation of the the circle.
-Center at the point $( - 4 , - 3 )$ ; containing the point $( - 3,3 )$

• A) \(x ^ { 2 } + y ^ { 2 } + 6 x - 6 y - 17 = 0\)
• B) \(x ^ { 2 } + y ^ { 2 } + 6 x + 8 y - 17 = 0\)
• C) \(x ^ { 2 } + y ^ { 2 } + 8 x + 6 y - 12 = 0\)
• D) \(x ^ { 2 } + y ^ { 2 } - 6 x + 6 y - 12 = 0\)

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Definitions:

Operationalizing

The process of defining a research variable in practical, measurable terms, allowing it to be quantitatively or qualitatively analyzed.

Generalizability

The extent to which research findings are applicable to other settings or groups beyond the studied sample.

Operational Definition

A clear and precise description of how variables in a study are measured or manipulated, allowing others to understand and replicate the research.

Dependent Variable

In research and experiments, the variable that is being tested and measured, expected to change as a result of manipulations to the independent variable.