Respuesta :

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{130} \: \: units}}}}}[/tex]

Step-by-step explanation:

Let the points be A and B

Let A ( 1 , 3 ) be ( x₁ , y₁ )and B ( -6 , -6 ) be ( x₂ , y₂ )

Finding the distance between these points

[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {( - 6 - 1)}^{2} + {( - 6 - 3)^{2} } }}}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {( - 7)}^{2} + {( - 9)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{49 + 81}}} [/tex]

[tex] \longrightarrow{ \sf{ \sqrt{130}}}[/tex] units

Hope I helped!

Best regards! :D

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