What is the distance between (3, -4) and (6, 9)?
Use the distance formula, d = (22 - x1) + (42 - 31)?
Using the distance formula, d = sqrt((x2 - x1)^2 + (y2 - y1)^2):
Let (x1, y1) = (3, -4) and (x2, y2) = (6, 9).
Plug in the values and calculate:
d = sqrt((6 - 3)^2 + (9 - (-4))^2)
d = sqrt(3^2 + 13^2)
d = sqrt(9 + 169)
d = sqrt(178)
d ≈ 13.34
Therefore, the distance between (3, -4) and (6, 9) is approximately 13.34 units.