What is the distance between the ordered pairs (3, 7) and (-2, 9)?
To find the distance between two points in a coordinate plane, we can apply the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, we substitute x1 = 3, y1 = 7, x2 = -2, and y2 = 9:
d = √((-2 - 3)^2 + (9 - 7)^2)
= √((-5)^2 + (2)^2)
= √(25 + 4)
= √29
Therefore, the distance between the ordered pairs (3, 7) and (-2, 9) is √29 or approximately 5.39.