Respuesta :
[tex] \sqrt{ ( - 6 - 6) {}^{2} + (4 - ( - 8)) {}^{2} } \\ = 17.0[/tex]
Answer:
2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ ( x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 6, 4) and (x₂, y₂ ) = (- 8, 6)
d = [tex]\sqrt{(-8+6)^2+(6-4)^2}[/tex]
= [tex]\sqrt{(-2)^2+2^2}[/tex]
= [tex]\sqrt{4+4}[/tex] = [tex]\sqrt{8}[/tex] = 2[tex]\sqrt{2}[/tex] ← exact value