Question

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

Answer 1

`\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}`