Answer: The result should be d = [tex]\sqrt{29}[/tex] or d = 5.385
Step-by-step explanation:
-To find the distance between two points, you need the distance formula:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex] where there is [tex](x_{1},y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] on the formula.
-So, you place those both points (2, 4) and (7, 2) onto that formula:
[tex]d=\sqrt{(7-2)^2+(2-4)^2}[/tex]
-Then, you solve it:
[tex]d=\sqrt{(7-2)^2+(2-4)^2}[/tex]
[tex]d=\sqrt{(5)^2+(-2)^2}[/tex]
[tex]d=\sqrt{25+4}[/tex]
[tex]d = \sqrt{29} = 5.385[/tex]
