SOLUTION: What is the eccentricity of this function? r= 4/-2-6sinϴ or https://s1.postimg.org/ht0n7b1gv/3_4.png A.) 2 B.) 2/3 C.) 3 D.) 6

Algebra ->  Test -> SOLUTION: What is the eccentricity of this function? r= 4/-2-6sinϴ or https://s1.postimg.org/ht0n7b1gv/3_4.png A.) 2 B.) 2/3 C.) 3 D.) 6      Log On


   



Question 1080597: What is the eccentricity of this function?
r= 4/-2-6sinϴ or https://s1.postimg.org/ht0n7b1gv/3_4.png
A.) 2
B.) 2/3
C.) 3
D.) 6

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
general formula: r+=ed%2F%281-e%2Asin%28theta%29%29 where e is the eccentricity, directrix is d
r=+4%2F%28-2-6sin%28theta%29+%29......simplify first

r=+4%2F-2%281%2B3sin%28theta%29+%29

r=+-cross%284%292%2Fcross%282%29%281%2B3sin%28theta%29+%29

r=+-2%2F%281%2B3sin%28theta%29+%29
=>+e=3
e%3E+1 , so the conic is a hyperbola
answer is: C.) 3