Question

Find the distance d(P1, P2) between the points P1 and P2. P1 = (-5,3) P2 = (2,4) d(P1,P2) = (Simplify your answer. Type an exact answer, using radicals as needed.)

Answer 1

Answer:

distance between two points is

$5\sqrt{2}$

Step-by-step explanation:

the distance d(P1, P2) between the points P1 and P2

Use distance formula

$D= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

P1 = (-5,3) is (x1,y1)  P2 = (2,4) is (x2,y2)

Plug in the values in the distance formula

$D= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\D= \sqrt{(2+5)^2+(4-3)^2}\\D= \sqrt{(7)^2+(1)^2}\\\\D= \sqrt{50}\\D=5\sqrt{2}$