Which statement explains how the lines 2x + y = 4 and y = one halfx + 4 are related? They are parallel. They are perpendicular. They are the same line. They are not related.

They are perpendicular.

Step-by-step explanation:

In order to better compare these two lines, convert the first one to slope intercept form:

2x + y = 4

Now, subtract, 2x from both sides:

y = -2x + 4

Now, let's compare these two equations:

y = -2x + 4

y = x + 4

We can immediately determine that these two lines are perpendicular. Remember, perpendicular lines have negative reciprocal slopes. -2 and are negative reciprocals.

Therefore, since their slopes are negative reciprocals, the two lines defined by those equations are perpendicular.

Hope this helps :)

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

nlgqer

step-by-step