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]