Answer:
x=7
Step-by-step explanation:
ln x +ln(x+1)=ln 56
ln x(x+1)=ln 56
so x(x+1)=56
x^2+x-56=0
(x+8)(x-7)=0
x= -8 or x=7
and lnx,x>0
so x=7
Answer:
3rd option
Step-by-step explanation:
Using the identities
cot x = 
csc² x = 1 + cot² x
Given
tanθ =
, then cotθ = 
csc²θ = 1 + (
)² = 1 +
= 
cscθ = ±
= ± 
Since θ is in 3rd quadrant, then cscθ < 0
cscθ = -
×
= -
I will assume that we are trying to find the slope between (-9,2) and (9, 2)
The slope's equation ⇒ 
<u>Let's set the variables</u>:
(x1, y1) --> (-9, 2)
(x2, y2) --> (9, 2)
<u>Now let's plug them in:</u>

<u>Thus the slope of the line is 0.</u>
Hope that helps!
The answer is probably like 8/11