Solve the Problem $x ^ { 2 } + y ^ { 2 } + a x + b y + c = 0$

question 78

Multiple Choice

Solve the problem.
-Find the equation of the circle, written in the form $x ^ { 2 } + y ^ { 2 } + a x + b y + c = 0$ , passing through the points $( 12,2 ) , ( 7 , - 3 )$ , and $( 10,6 )$ .

• A) \(x ^ { 2 } + y ^ { 2 } + 14 x + 4 y + 28 = 0\)
• B) \(x ^ { 2 } + y ^ { 2 } - 14 x - 4 y + 17 = 0\)
• C) \(x ^ { 2 } + y ^ { 2 } - 7 x - 2 y + 28 = 0\)
• D) \(x ^ { 2 } + y ^ { 2 } - 14 x - 4 y + 28 = 0\)

Comprehend theories related to spatial assimilation and ethnic enclaves.

Examine the extent and effects of neighborhood segregation among different racial and ethnic groups.

Understand the phenomena of white flight and its consequences for urban and suburban dynamics.

Explore the concept of environmental racism and its beneficiaries.

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Definitions:

Sample Space

The set of all possible outcomes in a statistical experiment.

Conditional Probability

The probability of an event occurring, given that another event has already occurred.

Mutually Exclusive Events

Two or more events that cannot occur at the same time in any given experiment or scenario, implying no overlap in their outcomes.

Intersection of Events

The set of outcomes that are common to two or more events in probability, representing occurrences that satisfy all event conditions simultaneously.