Final answer:
The point d could be located at either -5 or -31 on the number line, depending on whether it is to the right or the left of point C, which is at -18.
Step-by-step explanation:
The question is asking us to determine the possible location of point d on a number line given that point C is at -18 and the distance CD is 13 units. To solve this, we will consider two scenarios since the number line has two directions from any given point.
Firstly, if d is to the right of C, we will add the distance to the position of C:
-18 + 13 = -5
So in this case, d would be at -5.
Secondly, if d is to the left of C, we will subtract the distance from the position of C:
-18 - 13 = -31
Therefore, d could be at -31 when it is to the left of C.
Given these calculations, the correct answer choices are:
• a. d could be located at -5.
• b. d could be located at -31.