The diagram shows A(−3,5) and B(8,1). What is the distance between the points?
Enter your answer as a number, without units.
Round your answer to one decimal place, if necessary, like this: 42.5
To find the distance between two points, we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of point A are (-3, 5) and the coordinates of point B are (8, 1).
Using the distance formula, we have:
Distance = √((8 - (-3))^2 + (1 - 5)^2)
Distance = √((8 + 3)^2 + (1 - 5)^2)
Distance = √((11)^2 + (-4)^2)
Distance = √(121 + 16)
Distance = √137
So, the distance between the points A and B is √137. Rounded to one decimal place, this is approximately 11.7.