Find the distance between (1,2) and (5,7), round your answer to the nearest tenth.
Using the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
d = sqrt((5 - 1)^2 + (7 - 2)^2)
d = sqrt(4^2 + 5^2)
d = sqrt(16 + 25)
d = sqrt(41)
d ≈ 6.4
Therefore, the distance between (1,2) and (5,7) is approximately 6.4 units.
To find the distance between two points (x1, y1) and (x2, y2), we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Using the given coordinates, we have:
(x1, y1) = (1, 2)
(x2, y2) = (5, 7)
Substituting the values into the distance formula:
Distance = √((5 - 1)^2 + (7 - 2)^2)
Distance = √(4^2 + 5^2)
Distance = √(16 + 25)
Distance = √41
Rounding the answer to the nearest tenth:
Distance ≈ 6.4 (rounded to the nearest tenth)
Therefore, the distance between (1, 2) and (5, 7) is approximately 6.4 units.