Find an Equation of the Sphere with Center $( 7 , - 5,7 )$

question 1

Multiple Choice

Find an equation of the sphere with center $( 7 , - 5,7 )$ that touches the $x y$ -plane.

• A) \(( x + 7 ) ^ { 2 } + ( y - 5 ) ^ { 2 } + ( z + 7 ) ^ { 2 } = 49\)
• B) \(( x + 7 ) ^ { 2 } + ( y + 5 ) ^ { 2 } + ( z - 7 ) ^ { 2 } = 49\)
• C) \(( x - 7 ) ^ { 2 } + ( y + 5 ) ^ { 2 } + ( z - 7 ) ^ { 2 } = 40\)
• D) \(( x - 7 ) ^ { 2 } + ( y + 5 ) ^ { 2 } + ( z - 7 ) ^ { 2 } = 49\)
• E) \(( x - 7 ) ^ { 2 } + ( y + 5 ) ^ { 2 } + ( z - 7 ) ^ { 2 } = 7\)

---

Definitions:

Interacting Individuals

Interacting individuals refer to the process where two or more people communicate or affect each other’s behavior and thoughts.

Benefits

Various forms of support, often from the government, in the form of cash or services, intended to ensure the welfare and protection of citizens or employees.

Rational Choice

A theory in economics and sociology that explains decisions by individuals as based on the attempt to maximize personal advantage, minimizing disadvantages.

Maximize Benefits

The act of making the best or most effective use of a situation, opportunity, or resource to gain the greatest advantage or value.