Respuesta :

Answer:

≈ 13.9

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]

with (x₁, y₁ ) = K(9, 2) and (x₂, y₂ ) = L(- 3, 9)

d = [tex]\sqrt{(-3-9)^2+(9-2)^2}[/tex]

   = [tex]\sqrt{(-12)^2+7^2}[/tex]

   = [tex]\sqrt{144+49}[/tex]

   = [tex]\sqrt{193}[/tex]

   ≈ 13.9 ( to the nearest tenth )

Answer:

d=√(193)

Step-by-step explanation:

d=√((x_2-x_1)²+(y_2-y_1)²)

Points: (9, 2) & (-3, 9)

d=√((-3 - 9)²+(9 - 2)²)

d=√((-12)²+(7)²)

d=√(144)+(49)

d=√(193)