Solve Applied Problems Involving Hyperbolas
-A Satellite Following the Hyperbolic $( 0,6 )$

question 83

Multiple Choice

Solve Applied Problems Involving Hyperbolas
-A satellite following the hyperbolic path shown in the picture turns rapidly at $( 0,6 )$ and then moves closer and closer to the line $y = \frac { 9 } { 2 } x$ as it gets farther from the tracking station at the origin. Find the equation that describes the path of the satellite if the center of the hyperbola is at $( 0,0 )$ .

• A) \(\frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { \frac { 16 } { 9 } } = 1\)
• B) \(\frac { x ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { \left( \frac { 54 } { 4 } \right) ^ { 2 } } = 1\)
• C) \(\frac { y ^ { 2 } } { \frac { 16 } { 9 } } - \frac { x ^ { 2 } } { 36 } = 1\)
• D) \(\frac { x ^ { 2 } } { \left( \frac { 54 } { 4 } \right) ^ { 2 } } - \frac { y ^ { 2 } } { 36 } = 1\)

---

Definitions:

Legal Arguments

Reasoning and discussions based on law and legal principles used in courts to make or defend against claims.

Criminal Act

An action that violates the laws of a state or country, which is punishable by the government.

HCR-20

A risk assessment tool used to evaluate the risk of violence in individuals, particularly those with a history of violence.

Historical Factors

Elements from the past that have influenced or caused current conditions or situations.