Answer:
[tex]\sqrt{37}[/tex]
Step-by-step explanation:
Distance formula
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
[tex]d = \sqrt {\left( {1 - 2 } \right)^2 + \left( {-2 - 4 } \right)^2 }[/tex]
Simplify
[tex]d = \sqrt {\left( {-1 } \right)^2 + \left( {-6 } \right)^2 }[/tex]
Simplify
[tex]d = \sqrt {\left 1 + \left 36}[/tex]
[tex]d = \sqrt{37}[/tex]
Answer
[tex]d = \sqrt{37}[/tex]