Answer:
d ≈ 7.8 units
Step-by-step explanation:
calculate the distance , d , using the distance formula
• d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
let (x₁, y₁ ) = (2, - 1 ) and (x₂, y₂ ) = (- 3, 5 )
substitute these values into the formula for d
d = [tex]\sqrt{(-3-2)^2+(5-(-1))^2}[/tex]
= [tex]\sqrt{(-5)^2+(5+1)^2}[/tex]
= [tex]\sqrt{25+6^2}[/tex]
= [tex]\sqrt{25+36}[/tex]
= [tex]\sqrt{61}[/tex]
≈ 7.8 units ( to the nearest tenth )