Respuesta :

The distance fro, (12,-5) to (-3,7)  is [tex]\sqrt{369}[/tex]

First, you must set up the distance equation.

[tex]\sqrt{(-3-12)^2+(7+5)^2}[/tex]

Then, you must add like terms.

[tex]\sqrt{(-15)^2+(12)^2}[/tex]

Next, simplify exponents.

[tex]\sqrt{225+144}[/tex]

Finally, simplify the radical.

[tex]\sqrt{369}[/tex]

The radical cannot be simplified, so the answer is [tex]\sqrt{369}[/tex]