Answer:
d = 5.65685 or 5.66
Step-by-step explanation:
Given the points (1, 3) and (5, 7), we can use the following distance formula:
[tex]d = \sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]
Let x 1 = 1
x2 = 5
y1 = 3
y2 = 7
[tex]d = \sqrt{(5 - 1)^2 + (7 - 3)^2}[/tex]
[tex]d = \sqrt{(4)^2 + (4)^2}[/tex]
[tex]d = \sqrt{16 + 16} = \sqrt{32}[/tex]
d = 5.65685 or 5.66