To find the distance between points A and B, we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates for points A and B:
Distance = √((3 - (-2))^2 + (-1 - 1)^2)
Distance = √(5^2 + (-2)^2)
Distance = √(25 + 4)
Distance = √29
Distance ≈ 5.39 miles
Now, to find the coordinates of the midpoint between points A and B, we can use the midpoint formula:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Plugging in the coordinates for points A and B:
Midpoint = ((-2 + 3) / 2, (1 + (-1)) / 2)
Midpoint = (1/2, 0)
Therefore, the coordinates of the midpoint between points A and B are (0.5, 0).
A map of a state park is drawn so that the origin is placed at the visitor center. The distance between grid lines is 1 mi. Suppose that two hikers are located at points A and B. Assume that the units of measurement are in miles.
A (-2,1)
B (3,-1)
Midpoint between them
1 answer