Answer:
Exact form:
[tex]\sqrt{53}[/tex]
Decimal Form:
7.280109889280518
Step-by-step explanation:
Use the distance formula to determine the distance between 2 points.
Distance = [tex]\sqrt{(x_{2} -x_{1}) ^2+(y_{2} -y_{1}) ^2[/tex]
[tex]\sqrt{6-4^2+(-5-2)^2[/tex]
[tex]\sqrt{(2)^2+(-7)^2}[/tex]
[tex]\sqrt{4+49}[/tex]
[tex]\sqrt{53}[/tex] ≈ 7.280109889280518