Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{15 \: units}}}}}[/tex]
Step-by-step explanation:
Given,
A( -5 , 4 )⇒ ( x₁ , y₁ )
B ( 7 , -5 )⇒ ( x₂ , y₂ )
Finding distance between these two points
[tex] { \boxed{ \sf {{ distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2}}}}}}[/tex]
plug the values
[tex] \sf{ = \sqrt{ {(7 - ( - 5))}^{2} + {( - 5 - 4)}^{2} } }[/tex]
[tex] \sf{ = \sqrt{ {(7 + 5)}^{2} + {( - 5 - 4)}^{2} } }[/tex]
Calculate the sum
[tex] \sf{ = \sqrt{ {12}^{2} + {( - 9)}^{2} } }[/tex]
Evaluate the power
[tex] \sf{ = \sqrt{144 + 81} }[/tex]
Add the numbers
[tex] \sf{ = \sqrt{ 225} }[/tex]
Calculate
[tex] \sf{ = 15 \: units}[/tex]
Hope I helped!
Best regards!!
