Answer:
Exact distance = [tex]\sqrt{130}[/tex]
Approximate distance = 11.40175
Explanation:
We'll use the distance formula
[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(1-(-2))^2+(7-(-4))^2}\\\\d = \sqrt{(1+2)^2+(7+4)^2}\\\\d = \sqrt{(3)^2+(11)^2}\\\\d = \sqrt{9+121}\\\\d = \sqrt{130} \ \ \text{ ... exact distance}\\\\d \approx 11.40175 \ \ \text{ ... approximate distance}\\\\[/tex]
