Suppose you start at the origin, move along the x-axis a distance of 5 units in the positive direction, and then move downward along the z-axis a distance of 8 units. What are the coordinates of your position?

The coordinates of positions are (5, 0, -8) .

Step-by-step explanation:

The distance along with the x-axis = 5 units

The distance along with the z-axis = 8 units

Since it is given that the start point is origin then the Initially you are at: (0, 0, 0)

thus, when moving 5 units along the positive x-axis: (5, 0, 0)

and moving 8 units in the negative z-axis: (5, 0, -8)

therefore, the final coordinates are (5, 0, -8) .

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

yes

step-by-step explanation:

yes