Find the distance between the points (–4,-5) and (10,7).
To find the distance between two points, we can use the distance formula. The formula is given by:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
Given the points (-4, -5) and (10, 7), we can substitute the coordinates into the formula:
d = √[(10 - (-4))^2 + (7 - (-5))^2]
= √[(10 + 4)^2 + (7 + 5)^2]
= √[(14)^2 + (12)^2]
= √[196 + 144]
= √340
≈ 18.439
Therefore, the distance between the points (-4, -5) and (10, 7) is approximately 18.439.