Answer:
![8.54\ units](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zdgg871yww4alutr2wwlnvj8hph7niwgm2.png)
Explanation:
You need to use the following formula for calculate the distance between two points:
![d=√((x_2-x_1)^2+(y_2-y_1)^2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jq23b7gn8a5hqb5oj8gmcxlbivj810cso4.png)
In this case you have these points:
(5,7) and (-3,4)
So, you can identify that:
![x_2=-3\\x_1=5\\\\y_2=4\\y_1=7](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pkee67lt8b80mhw3ah8r5lg10z6rwh3t69.png)
Then, you can substitute values into the formula.
Therefore, the distance between the given points is:
![d=√((-3-5)^2+(4-7)^2)\\\\d=8.54\ units](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pn65aqzfzrxv96pcsv9fws8wqlk4e5pz7z.png)