Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{6.7}}}}}[/tex]
Option C is the correct option.
Step-by-step explanation:
Let the points be A and B
Let A ( 7 , 8 ) be ( x₁ , y₁ ) and B ( 4 , 2 ) be ( x₂ , y₂ )
Finding the distance between these points
[tex] \boxed{ \sf{distance \: = \: \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(4 - 7)}^{2} + {(2 - 8)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 3)}^{2} + { (- 6)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{9 + 36}}} [/tex]
[tex] \dashrightarrow {\sf{ \sqrt{45} }}[/tex]
[tex] \dashrightarrow{ \sf{6.7 \: \: units}}[/tex]
Hope I helped!
Best regards! :D
