Answer:
[tex] \huge{ \fbox{ \sf{13 \: units}}}[/tex]
Option C is correct.
Step-by-step explanation:
[tex] \star{ \sf{ \: Let \: the \: points \: be \: a \: and \: b}}[/tex]
[tex] \star{ \sf{ \: let \: A(-3, 2) \: be \: (x1 \:, y1) \: and \: B(9, -3) \: be \: (x2 \:, y2) }}[/tex]
[tex] \underline{ \sf{Finding \: the \: distance \: between \: the \: given \: points}} : [/tex]
[tex] \boxed{ \sf{Distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
[tex] \mapsto{ \sf{ \sqrt{ {(9 - ( - 3))}^{2} + {( - 3 - 2)}^{2} } }}[/tex]
[tex] \mapsto{ \sf{ \sqrt{ {(9 + 3)}^{2} + {( - 3 - 2)}^{2} }}}[/tex]
[tex] \mapsto{ \sf{ \sqrt{ {(12)}^{2} + {( - 5)}^{2} } }}[/tex]
[tex] \mapsto{ \sf{ \sqrt{144 + 25}}} [/tex]
[tex] \mapsto{ \sf{ \sqrt{169} }}[/tex]
[tex] \mapsto{ \sf{ \sqrt{ {(13)}^{2} } }}[/tex]
[tex] \mapsto{ \sf{ 13 \: units}}[/tex]
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
