Describe the Given Set of Points with a Single Equation $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 225$

question 35

Multiple Choice

Describe the given set of points with a single equation or with a pair of equations.
-The circle in which the plane through the point (-8, 12, ) perpendicular to the y-axis meets the sphere of radius 15 centered at the origin.

• A) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 225\) and \(y = 12\)
• B) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 81\) and \(y = 12\)
• C) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 63\) and \(y = 12\)
• D) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 144\) and \(y = 12\)

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Definitions:

Inherently Dangerous

Refers to activities or substances that, by their nature, pose a significant risk of harm.

Superseding Cause

A superseding cause is an unforeseeable event that interrupts the chain of causation, relieving a defendant from liability for harm caused after the event.

Causal Connection

The relationship between a cause and its effect, denoting how one event is directly responsible for the occurrence of another.

Breach of Duty

The failure to act or perform one's duties as required by law or contract, leading to legal implications.