Answer:4[tex]\sqrt{5}[/tex] or 8.94427
Explanation:
distance between 2 points is found by equation
[tex]d=\sqrt{(x1-x2)^2 + (y1-y2)^2}[/tex]
plug and chug
d = [tex]\sqrt{(-8+4)^2 + (7+1)^2}[/tex]
d=[tex]\sqrt{16+64}[/tex]
d = [tex]\sqrt{80}[/tex]
simplify
d= [tex]\sqrt{16} *\sqrt{5}[/tex]
d = 4[tex]\sqrt{5}[/tex]
or use a calculator if the answer is wanted in decimals
d = 8.94427