Respuesta :

Answer:

[tex]\sqrt{61}[/tex] or 7.81

Step-by-step explanation:

use distance formula:

[tex]d = \sqrt{(X_{2}-X_{1})^{2} + (Y_{2}-Y_{1})^{2}}[/tex]

= [tex]\sqrt{[(-2-4)^{2} + (2 - (-3))^{2}]}[/tex]

= [tex]\sqrt{(-6)^{2} + (5)^{2} }[/tex]

= [tex]\sqrt{36 + 25}[/tex]

= [tex]\sqrt{61}[/tex] or 7.81