Question

2. *

5
A map is represented on a coordinate grid. Town A is located at (-8, 2) and Town B is located
at (10, 8). Town C is the midpoint between Town A and Town B.
If each unit represents 1 mile, the approximate distance from Town A to Town C is
1 point
miles.

Answer 1

The approximate distance from Town A to Town C is approximately 4.24 miles.

Step-by-step explanation:

To find the approximate distance from Town A to Town C, we need to find the midpoint between the x-coordinates and the y-coordinates of Town A and Town B. The x-coordinate of Town C is the average of -8 and 10, which is 1. The y-coordinate of Town C is the average of 2 and 8, which is 5. So the coordinates of Town C are (1, 5).

Next, we can use the distance formula to find the distance between Town A and Town C. The distance formula is sqrt((x2-x1)^2 + (y2-y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points. Using the x-coordinates -8 and 1, and the y-coordinates 2 and 5, we can calculate the distance as sqrt((1--8)^2 + (5-2)^2) = sqrt(9+9) = sqrt(18) ≈ 4.24 miles.