Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given \: points}}} : [/tex]
- C ( 3 , -2 ) & D ( 7 , -8 )
Let the point C ( 3 , -2 ) be ( x₁ , y₁ ) & the point D ( 7 , -8 ) be ( x₂ , y₂ ) .
[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
[tex] \boxed{ \sf{Distance = \sqrt{(x_{2} -x_{1} )^{2} + (y_{2} - y_{1})^{2} } }}[/tex]
⇢ [tex] \tt{CD = \sqrt{ {(7 - 3)}^{2} + {( - 8 - ( - 2))}^{2} } }[/tex]
⇢ [tex] \tt{CD = \sqrt{ {(4)}^{2} + {( - 8 + 2)}^{2} } }[/tex]
⇢ [tex] \tt{CD = \sqrt{16 + {( - 6)}^{2} } } [/tex]
⇢ [tex] \tt{CD = \sqrt{16 + 36}} [/tex]
⇢ [tex] \tt{CD = \sqrt{52}} [/tex]
⇢ [tex] \tt{CD = 7.2 \: units}[/tex]
[tex] \pink{ \boxed{\underline{ \underline{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{7.2 \: \text{units}}}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
