Draw graph y=3(x+4)+2 ,ignore the modulus sign first.
Flip the bottom part (below x axis) upwards (above x axis) or in other words, reflect the bottom to the top
Let me start from the meaning of half plane.you must have learned that there are two axes X and Y axes which includes positive X axes and negative X axes and there is positive Y axes and negative y axes. So there are four quadrants which i have explained in the figure. I have explained the meaning of Half plane in the Diagram also. Half plane=Figure obtained by covering any two adjacent regions of the coordinate axes.So we get four half planes.
Now your question is k is a half plane determined by QR, such that 0<x≤180 and there is exactly one ray QRP that lies in k
So, 
Since the dimension of the scale model is fourth of dimensions of the room, divide by 4 the given dimensions.
new dimensions:
= 18 ft / 4 = 9/2 ft
= 16 ft / 4 = 4 ft
The area is calculated by multiplying the dimensions,
Area = (9/2 ft)(4 ft) = 18 ft²
Therefore, the area of the scale model is equal to 18 ft².
Your answer for this one is p= -4c/x - 9z
8/17-15/68
This will equal 32/68-15/68 if you equalize the denominator. The final answer is 17/68 which equals 1/4 if you reduce.