Find an Equation of the Line That Is Tangent to the Circle

question 22

Multiple Choice

Find an equation of the line that is tangent to the circle x ² + y ² = 25 at the point P ( 3, 4 ) .

• A) \(y = \frac { 3 } { 4 } x + \frac { 25 } { 4 }\)
• B) \(y = - \frac { 4 } { 3 } x + \frac { 25 } { 3 }\)
• C) \(y = - \frac { 3 } { 4 } x + \frac { 25 } { 4 }\)
• D) \(y = \frac { 3 } { 4 } x - 25\)
• E) \(y = - \frac { 3 } { 4 } x + 25\)

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Definitions:

Innovator

A person or organization that introduces new ideas, products, or methods, leading to change or development in a particular field.

Production Possibilities Frontier

A curve illustrating the maximum feasible amount of two commodities that a society can produce using all available resources efficiently.

Economic Growth

An increase in the production of goods and services in an economy over a period of time, often measured as the percent increase in Gross Domestic Product (GDP).

Production Possibilities Curve

A graphical representation that shows the maximum combination of two goods that can be produced with available resources and technology.