Answer:
7.81
Step-by-step explanation:
we have the points: (-2, -2) and (3, 4)
where i will call [tex]x_{1}=-2, y_{1}=-2,x_{2}=3,y_{2}=4[/tex]
We can find the distance using the Pythagorean theorem, considering that the distance in x between the points is: [tex]d_{x}=[/tex] [tex]x_{2}-x_{1}=3-(-2)=3+2=5[/tex]
and the distance in y between the points is: [tex]d_{y}=[/tex][tex]y_{2}-y_{1}=4-(-2)=4+2=6[/tex]
and using the Pythagorean theorem
[tex]d=\sqrt{d_{x}^2 +d_{y}^2}[/tex]
[tex]d=\sqrt{5^2+6^2}=\sqrt{25+36}=\sqrt{61} =7.81[/tex]
the distance between the two points ia 7.81
