Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{25 \: units}}}}}[/tex]
Step-by-step explanation:
Let M ( 9 , -5 ) be ( x₁ , y₁ ) and N ( - 11 , 10 ) be ( x₂ , y₂ )
Finding the distance between these points
[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
[tex] \longrightarrow{ \sf{ \sqrt{ {( - 11 - 9)}^{2} + {(10 - ( - 5))}^{2} } }}[/tex]
[tex] \longrightarrow{ \sf{ \sqrt{ {( - 20)}^{2} + {(10 + 5)}^{2} } }}[/tex]
[tex] \longrightarrow{ \sf{ \sqrt{ {( - 20)}^{2} + {(15)}^{2} } }}[/tex]
[tex] \longrightarrow{ \sf{ \sqrt{400 + 225}}} [/tex]
[tex] \longrightarrow{ \sf{ \sqrt{625}}} [/tex]
[tex] \longrightarrow{ \sf{ \sqrt{ {(25)}^{2} } }}[/tex]
[tex] \longrightarrow{ \sf{25 \: units}}[/tex]
Hope I helped!
Best regards! :D
