Question

Find the distance between (9,2) and (-3,7)

Answer 1

`\huge{ \bold{ \boxed{ \tt{13 \: units}}}}`

Explanation:

`\text{Let \: the \: points \: be \: A \: and \:B}`

`\sf{ \: A(9 \:, 2)\longrightarrow{ \: (x1 \:, y1)}}`

`\sf{B( - 3 \: 7) \longrightarrow{(x2 \:, y2)}}`

`\underline{ \text{Using \: distance \: formula \:, we \: get } } :`

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

`\sf{⇢ \: \sqrt{ {(9 - ( - 3))}^(2) + {(2 - 7)}^(2) } }`

`\sf{⇢ \: \sqrt{ {(9 + 3)}^(2) + (2 - 7) ^(2) } }`

`\sf{⇢ \: \sqrt{ {(12)}^(2) + {( - 5)}^(2) } }`

`\sf{ \: ⇢ \: √(144 + 25)}`

`\sf{⇢ \: √(169)}`

`\sf{⇢ \sqrt{ {(13)}^(2) } }`

`\sf{⇢ \: 13 \: units}`

Hope I helped!

Best regards! :D

~
`\text{TheAnimeGirl}`