Answer:
Explanation:
To find the location of the point that is of the way from A=31 to B=6, we need to find the midpoint of the segment AB.
The formula for finding the midpoint of a segment with endpoints (x₁, y₁) and (x₂, y₂) is:
Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
In this case, we have A = 31 and B = 6, so x₁ = 31 and x₂ = 6. Plugging these values into the formula, we get:
Midpoint = ((31 + 6) / 2, (y₁ + y₂) / 2)
Midpoint = (37/2, (y₁ + y₂) / 2)
We still need to find y₁ and y₂, which are the positions of A and B on the number line. Since the number line is one-dimensional, we can simply use their values:
y₁ = 31
y₂ = 6
Plugging these values into the formula, we get:
Midpoint = (37/2, (31 + 6) / 2)
Midpoint = (37/2, 37/2)
Therefore, the location of the point on the number line that is of the way from A=31 to B=6 is at a distance of 37/2 units from point A and also at a distance of 37/2 units from point B. So, the midpoint of AB is located at the point (37/2, 0).
However, since the question only asks for the location of the point on the number line, we only need to consider the x-coordinate of the midpoint, which is 37/2. This point is on the number line, which means that it is a real number. Therefore, the answer is option (A) 21.