Find the distance between each pair of points. Answers may be left as square roots.
(-3,6) (2,1)
To find the distance between two points, we can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Using the given points (-3, 6) and (2, 1):
x1 = -3, y1 = 6
x2 = 2, y2 = 1
d = √((2 - (-3))^2 + (1 - 6)^2)
Simplifying the expression inside the square root:
d = √((5)^2 + (-5)^2)
d = √(25 + 25)
d = √(50)
Therefore, the distance between (-3,6) and (2,1) is √50.
To find the distance between two points, we can use the distance formula. The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Let's use this formula to find the distance between the points (-3,6) and (2,1).
d = √((2 - (-3))^2 + (1 - 6)^2)
= √((5)^2 + (-5)^2)
= √(25 + 25)
= √50
Therefore, the distance between the points (-3,6) and (2,1) is √50.