Identify the Conic by Writing the Equation in Standard Form $18 y ^ { 2 } - 24 x ^ { 2 } + 216 y + 336 x - 543 = 0$

question 43

Multiple Choice

Identify the conic by writing the equation in standard form.​ $18 y ^ { 2 } - 24 x ^ { 2 } + 216 y + 336 x - 543 = 0$ ​

• A)​ \(\frac { ( y - 6 ) ^ { 2 } } { \frac { 149 } { 5 } } + \frac { ( x - 7 ) ^ { 2 } } { \frac { 149 } { 10 } } = 1\) ;ellipse
• B)​ \(\frac { ( y + 6 ) ^ { 2 } } { \frac { 97 } { 6 } } - \frac { ( x - 7 ) ^ { 2 } } { \frac { 97 } { 8 } } = 1\) ;hyperbola
• C)​ \(\frac { ( y - 6 ) ^ { 2 } } { \frac { 5 } { 6 } } - \frac { ( x - 7 ) ^ { 2 } } { \frac { 5 } { 8 } } = 1\) ;hyperbola
• D)​ \(\frac { ( y + 6 ) ^ { 2 } } { \frac { 5 } { 6 } } - \frac { ( x - 7 ) ^ { 2 } } { \frac { 5 } { 8 } } = 1\) ;hyperbola
• E)​ \(\frac { ( y + 6 ) ^ { 2 } } { \frac { 149 } { 5 } } + \frac { ( x - 7 ) ^ { 2 } } { \frac { 149 } { 10 } } = 1\) ;ellipse

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Definitions:

Change-related Stress

Stress experienced as a result of adapting to new or changing circumstances or environments.

Holmes and Rahe

Refers to the Holmes and Rahe Stress Scale, a tool used to measure the stress load we carry, and predict the risk of becoming ill as a result.

Internal Conflict

A psychological struggle within the mind of an individual, arising from opposing demands or impulses.

Major Types

Principal or most significant categories or forms within any general field of study or area of interest.