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What is the distance between the points (3,-2) and (-4, 1)?

User Cyndi
by
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1 Answer

5 votes

Answer:


\boxed{ \bold{ \huge{ \boxed{ \sf{ √(58) \: \: units}}}}}

Explanation:

Let the points be A and B

Let A ( 3 , -2 ) be ( x₁ , y₁ ) and B ( -4 , 1 ) be ( x₂ , y₂ )

Finding the distance between these points


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


\dashrightarrow{ \sf{ \sqrt{ {( - 4 - 3)}^(2) + {(1 - ( - 2))}^(2) } }}


\dashrightarrow{ \sf{ \sqrt{ {( - 4 - 3)}^(2) + {(1 + 2)}^(2) } }}


\dashrightarrow{ \sf{ \sqrt{ {( - 7)}^(2) + {(3)}^(2) } }}


\dashrightarrow{ \sf{ √(49 + 9)}}


\dashrightarrow{ \sf{ √(58) }} units

Hope I helped!

Best regards! :D

User PratsJ
by
8.4k points

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