Respuesta :

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