Answer:
Step-by-step explanation:
Given,
A ( - 1 , - 3 )⇒( x₁ , y₁ )
B ( 11 , 8 )⇒( x₂ , y₂ )
Using distance formula to find the length of AB
[tex] \sf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]
plug the values
⇒[tex] \sf{ \sqrt{ {(11 - ( - 1))}^{2} + {( 8 - ( - 3))}^{2} } }[/tex]
We know that [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]
⇒[tex] \sf{ \sqrt{ {(11 + 1)}^{2} + {(8 + 3)}^{2} } }[/tex]
Add the numbers
⇒[tex] \sf{ \sqrt{ {12}^{2} + {11}^{2} } }[/tex]
Evaluate the power
⇒[tex] \sf{ \sqrt{144 + 121} }[/tex]
Add the numbers and calculate
⇒[tex] \sf{\sqrt{265} }[/tex]
⇒[tex] \sf{16.27}[/tex] units
Hope I helped!
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