Find the distance d (P1, P2) between the points P1 and P2
P1 = (−4, 4) ; P2 = (1, 6)
d(p1,P2)= ____ (Simplify your answer. Type an exact answer, using radicals as needed.)
qaz
better review your distance formula:
d = √((∆x)^2 + (∆y)^2)
Find the distance d (P1, P2) between the points P1 and P2
P1 = (−4, 4) ; P2 = (1, 6)
wayne
To find the distance between two points in a coordinate plane, we can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is given by the formula:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, P1 = (-4, 4) and P2 = (1, 6).
Substituting the values into the formula, we get:
distance = √((1 - (-4))^2 + (6 - 4)^2)
Simplifying further:
distance = √((1 + 4)^2 + (2)^2)
distance = √(5^2 + 2^2)
distance = √(25 + 4)
distance = √29
Therefore, the distance d(P1, P2) between the points P1 and P2 is √29.