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Answer:

see explanation

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 ) = ((- 2, - 3 ) and (x₂, y₂ ) = (x, 5x + 9 )

d = [tex]\sqrt{(x-(-2))^2+(5x+9-(-3))^2}[/tex]

   = [tex]\sqrt{(x+2)^2+(5x+9+3)^2}[/tex]

   = [tex]\sqrt{(x+2)^2+(5x+12)^2}[/tex]

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