Answer:
The answer is (d) ⇒ eccentricity = 6 , hyperbola , directrix x = 3/2
Step-by-step explanation:
∵ r = ek/(1 ± ecosФ)
∵ r = 9/(1 + 6cosФ)
∴ e = 6 ⇒ eccentricity = 6
∵ e > 1
∴ The conic is hyperbola
∵ ek = 9
∴ k = 9/6 = 3/2
∴ The directrix x = 3/2
The answer is D! 4(2a + 3) = 8a + 12
The difference is whether the exponent attaches to just the 2 or to the negative sign as well
-2^4 = - (2x2x2x2) = -16
(-2^4) = -2 x -2 x -2 x -2 = +16
Xt-3=y
Move three to the other side as a positive number
xt=3+y
Divide everything by x
t=3+y divided by x