Identify the Conic by Writing the Equation in Standard Form $10 y ^ { 2 } - 20 x ^ { 2 } + 80 y + 360 x - 1485 = 0$

question 198

Multiple Choice

Identify the conic by writing the equation in standard form. $10 y ^ { 2 } - 20 x ^ { 2 } + 80 y + 360 x - 1485 = 0$

• A) \(\frac { ( y - 4 ) ^ { 2 } } { \frac { 5 } { 2 } } - \frac { ( x - 9 ) ^ { 2 } } { \frac { 5 } { 4 } } = 1\) ; hyperbola
• B) \(\frac { ( y + 4 ) ^ { 2 } } { \frac { 5 } { 2 } } - \frac { ( x - 9 ) ^ { 2 } } { \frac { 5 } { 4 } } = 1\) ; hyperbola
• C) \(\frac { ( y + 4 ) ^ { 2 } } { \frac { 97 } { 2 } } - \frac { ( x - 9 ) ^ { 2 } } { \frac { 97 } { 4 } } = 1\) ; hyperbola
• D) \(\frac { ( y + 4 ) ^ { 2 } } { \frac { 149 } { 5 } } + \frac { ( x - 9 ) ^ { 2 } } { \frac { 149 } { 10 } } = 1\) ; ellipse
• E) \(\frac { ( y - 4 ) ^ { 2 } } { \frac { 149 } { 5 } } + \frac { ( x - 9 ) ^ { 2 } } { \frac { 149 } { 10 } } = 1\) ; ellipse

---

Definitions:

Just Noticeable Difference

The minimum amount by which stimulus intensity must be changed in order to produce a noticeable variation in sensory experience.

Decibels

A logarithmic unit used to measure the intensity of sound, with zero decibels representing the threshold of hearing.

Volume

A measure of the amount of space an object or substance occupies, often quantified in liters, cubic meters, or other units of measurement.

Perceptual Set

Perceptual Set refers to a tendency to perceive or notice some aspects of the available sensory data and ignore others, influenced by expectations, experiences, and context.