Respuesta :

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