Respuesta :

TheStranger

Answer:

(B) 3.6

Step-by-step explanation:

Coordinate of A = (-3, 9)

Coordinate of B = (-1, 6)

[tex]\text {Distance = }\sqrt{(- 3 - (-1) )^2 + (9 - 6)^2}[/tex]

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

[tex]\text {Distance = }\sqrt{13}[/tex]

[tex]\text {Distance = }3.6[/tex]

Answer:

B

Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(- 3,9) and (x₂, y₂ ) = B(- 1, 6)

d = [tex]\sqrt{-1+3)^2+(6-9)^2}[/tex]

  = [tex]\sqrt{2^2+(-3)^2}[/tex]

  = [tex]\sqrt{4+9}[/tex]

= [tex]\sqrt{13}[/tex] ≈ 3.6 → B

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