[tex]\huge{\boxed{\sqrt{157} \approx 12.5299641}}[/tex]
The distance formula is [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are the points.
Substitute in the values. [tex]\sqrt{(-6-0)^2+(7-(-4))^2}[/tex]
Simplify the negative subtraction. [tex]\sqrt{(-6-0)^2+(7+4)^2}[/tex]
Subtract and add. [tex]\sqrt{(-6)^2+11^2}[/tex]
Solve the exponents. [tex]\sqrt{36+121}[/tex]
Add. [tex]\boxed{\sqrt{157}}[/tex]
You can approximate this value using a calculator. [tex]\sqrt{157} \approx \boxed{12.5299641}[/tex]
