Answer:

Step-by-step explanation:
recall for a line whose equation is
y = mx + b,
the slope of this line is m
the slope of a line that is perpendicular to this line is -
in this case,
m = -
hence -
=
9(x + 3) + 15x
9x + 27 + 15x ...combine like terms
24x + 27 <==
The answer is A) √3
cot(-5π/6)=1/tan(-5π/6)
=1/tan(-(5π/6)
Use the property: tan(-x)=-tan(x)
=1/tan(5π/6)
-(1/tan(5π/6))
tan(5π/6)=-√3/3
-(1/-√3/3)
-(1/-√3/3)
=√3