Answer: [tex]8.54\ units[/tex]
Step-by-step explanation:
You need to use the following formula for calculate the distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this case you have these points:
(5,7) and (-3,4)
So, you can identify that:
[tex]x_2=-3\\x_1=5\\\\y_2=4\\y_1=7[/tex]
Then, you can substitute values into the formula.
Therefore, the distance between the given points is:
[tex]d=\sqrt{(-3-5)^2+(4-7)^2}\\\\d=8.54\ units[/tex]
