Rewrite the Equation in Standard Form $$x ^ { 2 } + y ^ { 2 } + 6 x - 8 y - 56 = 0$$

question 16

Multiple Choice

Rewrite the equation in standard form. Find the center and radius of the circle.
- $$x ^ { 2 } + y ^ { 2 } + 6 x - 8 y - 56 = 0$$

• A) \(( x + 3 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 81
• center \(( - 3,4 ) , r = 9
• B) \(( x - 3 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 81
• center \(( 3 , - 4 ) , r = 9
• C) \(( x - 4 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 81
• center \(( 4 , - 3 ) , \ { r } = 9\)
• D) \(( x + 3 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 81
• center \(( - 3,4 ) , r = 81\)

Understand the concept of social responsibility and its application in various contexts.

Grasp the principles of social exchange theory, including cost-benefit analysis in altruistic behaviors.

Identify and explain the dynamics of social traps and their societal impact.

Recognize the importance of the reciprocity norm in social interactions and its influence on behavior.

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Definitions:

Utilitarianism

A theory in normative ethics holding that the best moral action is the one that maximizes utility, usually defined as that which produces the greatest well-being of the greatest number of people.

Categorical Imperative

A central philosophical concept in the deontological moral philosophy of Immanuel Kant, which asserts that an action is morally right if it can be universally applied as a principle.

Universal Law

A principle or rule that is thought to be applicable to all members of a group or category without exception.

Moral Sentiment

The emotional aspect of morality, including feelings of right and wrong, that influences ethical decision-making.