Which expression could be used to find the distance between points (2,8) and (7,13) in the coordinate plane?
d^2 = (7 - 2)^2 + (13 - 8)^2
To find the distance between two points, you can use the distance formula. The distance formula is given by:
√((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the two points are (2, 8) and (7, 13). Using the distance formula, the expression to find the distance between these two points is:
√((7 - 2)^2 + (13 - 8)^2)
Simplifying this expression, we get:
√(5^2 + 5^2)
This further simplifies to:
√(25 + 25)
Finally:
√50
So, the expression to find the distance between points (2, 8) and (7, 13) is √50.
To find the distance between two points in the coordinate plane (x1, y1) and (x2, y2), you can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
For the given points (2,8) and (7,13), we can substitute the values into the formula:
Distance = sqrt((7 - 2)^2 + (13 - 8)^2)
Simplifying further:
Distance = sqrt(5^2 + 5^2)
Distance = sqrt(25 + 25)
Distance = sqrt(50)
Therefore, the expression to find the distance between points (2,8) and (7,13) in the coordinate plane is sqrt(50) or you can approximate it to a decimal value as approximately 7.071.