Find the coordinates of the midpoint of a segment with endpoints at (-11,34) and (47,0).

The point (-11,34) has the coordinates x = -11 and y = 34

The point (47,0) has the coordinates x = 47 and y = 0

Let's focus on just the x coordinates of each point for now. Those values are -11 and 47. Add them up to get -11+47 = 36. Then divide by two to end up with 36/2 = 18

The x coordinate of the midpoint is x = 18

Repeat those steps for the y coordinates. First add them up: 34+0 = 34. Then divide by two: 34/2 = 17

The y coordinate of the midpoint is y = 17

side note:

If you want, you can use the formulas

xm = (x1+x2)/2

ym = (y1+y2)/2

where (x1,y1) and (x2,y1) are the two endpoints and (xm, ym) is the midpoint. Though this method may be a bit confusing.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!