Convert the Equation to the Standard Form for a Hyperbola $$4 y ^ { 2 } - 25 x ^ { 2 } - 16 y - 100 x - 184 = 0$$

question 119

Multiple Choice

Convert the equation to the standard form for a hyperbola by completing the square on x and y.
- $$4 y ^ { 2 } - 25 x ^ { 2 } - 16 y - 100 x - 184 = 0$$

• A) \(\frac { ( y - 2 ) ^ { 2 } } { 25 } - \frac { ( x + 2 ) ^ { 2 } } { 4 } = 1\)
• B) \(\frac { ( y + 2 ) ^ { 2 } } { 25 } - \frac { ( x - 2 ) ^ { 2 } } { 4 } = 1\)
• C) \(\frac { ( y - 2 ) ^ { 2 } } { 4 } - \frac { ( x + 2 ) ^ { 2 } } { 25 } = 1\)
• D) \(\frac { ( x - 2 ) ^ { 2 } } { 4 } - \frac { ( y + 2 ) ^ { 2 } } { 25 } = 1\)

---

Definitions:

Diabetes Mellitus

A metabolic disease characterized by high blood sugar levels over a prolonged period, due to insulin production issues or action.

Low Intensity

Referring to activities or processes that have a minimal level of exertion, energy, or impact when compared to higher intensity counterparts.

Moderate Intensity

A level of exercise intensity where physical activity raises the heart rate to 50-70% of the maximum heart rate, noticeable by increased breathing and sweating.

High Intensity

Activities or situations that require a great deal of effort, energy, or concentration.