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Delvig [45]
2 years ago
10

Find the distance between (-8,-2) and (6,-1)

Mathematics
1 answer:
katen-ka-za [31]2 years ago
3 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{197} \:  \:  units}}}}}

Step-by-step explanation:

Let the points be A and B

Let A ( -8 , -2 ) be ( x₁ , y₁ ) and B ( 6 , - 1 ) be ( x₂ , y₂ )

<u>Finding the distance between these points </u>

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

\dashrightarrow{ \sf{ \sqrt{ {(6 - ( - 8))}^{2} +  {( - 1 - ( - 2))}^{2}  } }}

\dashrightarrow{ \sf{ \sqrt{ {(6  + 8)}^{2} +  {( - 1 + 2)}^{2}  } }}

\dashrightarrow{ \sf{ \sqrt{ {(14)}^{2}  +  {(1)}^{2} } }}

\dashrightarrow{ \sf{ \sqrt{196 + 1}}}

\dashrightarrow{ \boxed{ \sf{ \sqrt{197 \:} \: units}}}

Hope I helped!

Best regards! :D

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