Answer:
As the lines are not intersecting nor parallel, they must be skew.
Step-by-step explanation:
Question is incomplete, we consider the nearest match available online.
Parametric equations of two lines are:
L₁ : x=4t+2 , y = 3 , z =-t+1
L₂: x=2s+2 , y= 2s+5 , z = s+1
If lines are parallel then parametric coordinates must be equal scalar multiple of each other which s not true here.

If lines are intersecting then parametric coordinates must be equal for some value of t and s.

Hence the lines are not intersecting nor parallel, they must be skew.
Given:
Karen earns $54.60 for working 6 hours.
Amount she earns varies directly with the number of hours she works.
She need to work to earn an additional $260.
To find:
Number of hours she need to work to earn an additional $260.
Solution:
Let the amount of earnings be A and number of hours be t.
According to question,

...(i)
where, k is constant of proportionality.
Karen earns $54.60 for working 6 hours.

Divide both sides by 6.


Put k=9.1 in (i).

Substitute A=260 in the above equation.

Divide both sides by 9.1.



Therefore, she need to work extra about 29 hours to earn an additional $260.
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.