Answer:
10[tex]\sqrt{17}[/tex] or 13.04
Step-by-step explanation:
Equation for distance between two points = [tex]\sqrt{(x2- x1)^2+(y2- y1)^2}[/tex]
For points (-1, 3) , (12, 4)
x1 = -1
x2 = 12
y1 = 3
y2 = 4
Slot in the values
[tex]\sqrt{(12-(-1))^2 + (4-3 )^2}[/tex]
= [tex]\sqrt{(13)^2 + (1)^2}[/tex]
= [tex]\sqrt{169+1}[/tex]
= [tex]\sqrt{170}[/tex]
= [tex]\sqrt{10* 17}[/tex]
= 10[tex]\sqrt{17}[/tex] or 13.04
