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) .

answer: (-6,3)

step-by-step explanation:

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.