Answer:
[tex] \huge{ \bold{ \boxed{ \tt{13 \: units}}}}[/tex]
Step-by-step explanation:
[tex] \text{Let \: the \: points \: be \: A \: and \:B}[/tex]
[tex] \sf{ \: A(9 \:, 2)\longrightarrow{ \: (x1 \:, y1)}} [/tex]
[tex] \sf{B( - 3 \: 7) \longrightarrow{(x2 \:, y2)}}[/tex]
[tex] \underline{ \text{Using \: distance \: formula \:, we \: get } } : [/tex]
[tex] \sf{Distance = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } }[/tex]
[tex] \sf{⇢ \: \sqrt{ {(9 - ( - 3))}^{2} + {(2 - 7)}^{2} } }[/tex]
[tex] \sf{⇢ \: \sqrt{ {(9 + 3)}^{2} + (2 - 7) ^{2} } }[/tex]
[tex] \sf{⇢ \: \sqrt{ {(12)}^{2} + {( - 5)}^{2} } }[/tex]
[tex] \sf{ \: ⇢ \: \sqrt{144 + 25}} [/tex]
[tex] \sf{⇢ \: \sqrt{169}} [/tex]
[tex] \sf{⇢ \sqrt{ {(13)}^{2} } }[/tex]
[tex] \sf{⇢ \: 13 \: units}[/tex]
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
