To calculate the distance between two point in the coordinate system, we can use a formula similar to the pythagoras theorem:
[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex]Where d is the distance between points (x1, y1) and (x2, y2).
Let's calculate then:
[tex]\begin{gathered} d^2=(5-(-5))^2+(-2-2)^2=(5+5)^2(-4)^2=(10)^2+(-4)^2 \\ d^2=100+16=116 \\ d=\sqrt[]{116}\approx10.8 \end{gathered}[/tex]