Answer:
[tex]\displaystyle\mathsf{Distance(d)\:=\:\sqrt{61}\:\:or\:\:7.8102}[/tex]
Step-by-step explanation:
Given the two points, (0, 3) and (5, -3), we could use the distance formula to determine how far apart are these two points from each other.
Let (x₁, y₁) = (0, 3)
(x₂, y₂) = (5, -3)
Substitute these values into the following distance formula:
[tex]\displaystyle\mathsf{Distance(d)\:=\:\sqrt{(x_2\:-\:x_1)^2 \:+\:(y_2\:-\:y_1)^2} }[/tex]
[tex]\displaystyle\mathsf{Distance(d)\:=\:\sqrt{(5\:-\:0)^2 \:+\:(-3\:-\:3)^2} }[/tex]
[tex]\displaystyle\mathsf{Distance(d)\:=\:\sqrt{(5)^2 \:+\:(-6)^2} }[/tex]
[tex]\displaystyle\mathsf{Distance(d)\:=\:\sqrt{25 \:+\:36} }[/tex]
[tex]\displaystyle\mathsf{Distance(d)\:=\:\sqrt{61}\:\:or\:\:7.8102}[/tex]
Therefore, the distance between the given pair of points is [tex]\displaystyle\mathsf{\sqrt{61}\:\:or\:\:7.8102}[/tex].
