Respuesta :

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{22 \: units}}}}[/tex]

Step-by-step explanation:

Let the points be A and B

A ( -8 , - 18 )⇒( x₁ , y₁ )

B ( 14 , -18 )⇒( x₂ , y₂)

Finding the distance between these two points

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

Plug the values

⇒[tex] \sf{ \sqrt{ {(14 - ( - 8)}^{2} + {( - 18 - ( - 18))}^{2} } }[/tex]

We know that,[tex] \sf{( - ) \times ( - ) = ( + )}[/tex]

⇒[tex] \sf{ \sqrt{ {(14 + 8)}^{2} + {( - 18 + 18)}^{2} } }[/tex]

Calculate

⇒[tex] \sf{ \sqrt{ {22}^{2} + {0}^{2} } }[/tex]

Evaluate the power

⇒[tex] \sf{ \sqrt{484} }[/tex]

[tex] \sf{{22} }[/tex] units

Hope I helped !

Best regards!!

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