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The lines are reflections of each other.

Step-by-step explanation:

The slope of the first line is 2/5.

The slope of the second one is -2/5.

The lines are reflections of each other.

the lines are perpendicular

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x - 2y + 8 = 0 ( subtract x + 8 from both sides )

- 2y = - x - 8 ( divide all terms by - 2 )

y = x + 4 ← in slope- intercept form

with slope m =

Given also

2x + y + 1 = 0 ( subtract 2x + 1 from both sides )

y = - 2x - 1 ← in slope- intercept form

with slope m = - 2

Parallel lines have equal slopes

The slopes are not equal thus the lines are not parallel.

For lines to be perpendicular the product of their slopes = - 1

× - 2 = -1

Thus the 2 lines are perpendicular.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2