Solve the Problem $y = \frac { 5 } { 6 } x$

question 90

Multiple Choice

Solve the problem.
-Find the equation of the hyperbola whose vertices are (0, 10) and (0, -10) and whose asymptotes arere $y = \frac { 5 } { 6 } x$ an and $y = - \frac { 5 } { 6 } x$

• A) \(\frac { y ^ { 2 } } { 100 } - \frac { x ^ { 2 } } { 144 } = 1\)
• B) \(\frac { y ^ { 2 } } { 144 } - \frac { x ^ { 2 } } { 100 } = 1\)
• C) \(\frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 25 } = 1\)
• D) \(\frac { y ^ { 2 } } { 100 } - \frac { x ^ { 2 } } { 36 } = 1\)

---

Definitions:

Pushing Effort

The force applied to an object in order to move it in a specific direction, often measured to assess efficiency in mechanical systems.

Pulling Effort

The force required to move or tow something, often measured to ensure the adequacy of a vehicle's towing capacity.

Force

Push or pull effort measured in units of weight. Force represents the ability to do work but this ability does not necessarily result in any work done; for instance, you can push all you like on a tractor/trailer combination but it is unlikely to move the vehicle. The formula for force (F) is calculated by multiplying pressure (P) by the area (A) it acts on. F=P*A.

Perfect Vacuum

A theoretical state where a space is completely devoid of matter, including air or any other gases, achieving a total absence of pressure.