Calculate the distance between the points C = (-2, - 5) and N= (6, - 8) in the coordinate plane.
Give an exact answer (not a decimal approximation).
To calculate the distance between two points, we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of point C are (-2, -5) and the coordinates of point N are (6, -8).
Plugging the values into the formula:
Distance = √((6 - (-2))^2 + (-8 - (-5))^2)
Distance = √((6 + 2)^2 + (-8 + 5)^2)
Distance = √(8^2 + (-3)^2)
Distance = √(64 + 9)
Distance = √73
Therefore, the distance between points C and N is √73 units.