Answer:
The distance between the points is [tex]d=2\sqrt{5}\ units[/tex] or [tex]d=4.472\ units[/tex]
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
[tex](7,-3)\\(5,1)[/tex]
substitute the values
[tex]d=\sqrt{(1+3)^{2}+(5-7)^{2}}[/tex]
[tex]d=\sqrt{(4)^{2}+(-2)^{2}}[/tex]
[tex]d=\sqrt{20}\ units[/tex]
[tex]d=2\sqrt{5}\ units[/tex] ----> exact answer
[tex]d=4.472\ units[/tex] -----> approximation to three decimal places
