Answer:
d = [tex]\sqrt{74}[/tex] or 8.60
Step-by-step explanation:
(5, 8) (-2, 3)
Let 5 = [tex]x_{1}[/tex]
8 = [tex]y_{1}[/tex]
-2 = [tex]x_{2}[/tex]
3 = [tex]y_{2}[/tex]
Plug in the values into the equation to get the distance:
d = [tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]
d = [tex]\sqrt{(-2-5)^{2} + (3-8)^{2} }[/tex]
d = [tex]\sqrt{(-7)^{2} + (5)^{2} }[/tex]
d = [tex]\sqrt{49 + 25}[/tex]
d = [tex]\sqrt{74}[/tex] or 8.60
