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Find the distance between the points given. (-3, 2) and (9, -3) A √37 B √61 C 13​

1 Answer

1 vote

Answer:


\huge{ \fbox{ \sf{13 \: units}}}

Option C is correct.

Explanation:


\star{ \sf{ \: Let \: the \: points \: be \: a \: and \: b}}


\star{ \sf{ \: let \: A(-3, 2) \: be \: (x1 \:, y1) \: and \: B(9, -3) \: be \: (x2 \:, y2) }}


\underline{ \sf{Finding \: the \: distance \: between \: the \: given \: points}} :


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


\mapsto{ \sf{ \sqrt{ {(9 - ( - 3))}^(2) + {( - 3 - 2)}^(2) } }}


\mapsto{ \sf{ \sqrt{ {(9 + 3)}^(2) + {( - 3 - 2)}^(2) }}}


\mapsto{ \sf{ \sqrt{ {(12)}^(2) + {( - 5)}^(2) } }}


\mapsto{ \sf{ √(144 + 25)}}


\mapsto{ \sf{ √(169) }}


\mapsto{ \sf{ \sqrt{ {(13)}^(2) } }}


\mapsto{ \sf{ 13 \: units}}

Hope I helped!

Best regards! :D

~
\text{TheAnimeGirl}

User ThomasMcLeod
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