[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
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[tex] \large \purple{ \rm{Given ↦}} \\ [/tex]
- A ( -6 , -2 ) ↦ ( x1 , y1 )
- B ( 2 , 4 ) ↦ ( x2 , y2 )
[tex] \rule{60mm}{2.2pt}[/tex]
[tex] \large \purple{ \rm{By \: DISTANCE \: FORMULA ↦}} \\ \\ \rm{AB =\sqrt{( x2-x1)^{2} +(y2-y1) ^{2} }}[/tex]
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Substituting values ↦
[tex] \bold {AB= \sqrt{( - 6 - 2 )^{2} + ( - 2 - 4) ^{2}} } \\ \\ \bold {AB= \sqrt{( - 8) ^{2} + ( - 6) ^{2} }} \\ \\ \bold {AB= \sqrt {(64) + (36)} } \\ \\ \bold {AB= \sqrt{(100)}} \\ \\ \bold {AB= 10 \: units.}[/tex]
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[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
