Find the distance between each pair of points. Answers may be left as square roots.
(7,6) (0,2)
To find the distance between two points in a Cartesian coordinate system, we can use the distance formula:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
Let's find the distance between (7, 6) and (0, 2):
Distance = √((0 - 7)² + (2 - 6)²)
= √((-7)² + (-4)²)
= √(49 + 16)
= √65
Therefore, the distance between (7, 6) and (0, 2) is √65.
To find the distance between two points, we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Let's label the coordinates of the first point as (x1, y1) and the coordinates of the second point as (x2, y2).
For the given points (7,6) and (0,2):
x1 = 7
y1 = 6
x2 = 0
y2 = 2
Now we can substitute these values into the distance formula:
Distance = √((0 - 7)^2 + (2 - 6)^2)
= √((-7)^2 + (-4)^2)
= √(49 + 16)
= √65
Therefore, the distance between the two points (7,6) and (0,2) is √65.