Answer:
[tex]d(P,D)= \sqrt{41}\\d(P,D)=6.40312[/tex]
Step-by-step explanation:
We need to find the distance between the points P=(-2,3) and D(2,-2)
The formula used to find distance between points is:
[tex]d(P,D)= \sqrt{(x2-x1)^2 + (y2-y1)^2)}[/tex]
Here, x2 =2 and x1 = -2, y2=-2 and y1= 3
Putting values in formula
[tex]d(P,D)= \sqrt{(2-(-2))^2 + (-2-3)^2}\\d(P,D)= \sqrt{(2+2)^2 + (-2-3)^2}\\d(P,D)= \sqrt{(4)^2 + (-5)^2}\\d(P,D)= \sqrt{16 + 25}\\d(P,D)= \sqrt{41}\\d(P,D)=6.40312[/tex]
