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.)

Respuesta :

Answer:

distance between two points is

[tex]5\sqrt{2}[/tex]

Step-by-step explanation:

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

Use distance formula

[tex]D= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

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

Plug in the values in the distance formula

[tex]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}[/tex]

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