Answered

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Find the distance between the two points in simplest radical form.
(9,-4) and (5,3)

Sagot :

Answer:

[tex]\sqrt{65}[/tex]

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 ( = (9, - 4) and (x₂, y₂ ) = (5, 3)

d = [tex]\sqrt{(5-9)^2+(3-(-4))^2}[/tex]

   = [tex]\sqrt{(-4)^2+(3+4)^2}[/tex]

   = [tex]\sqrt{16+7^2}[/tex]

   = [tex]\sqrt{16+49}[/tex]

   = [tex]\sqrt{65}[/tex]

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