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Find the distance CD rounded to the nearest tenth

Find The Distance CD Rounded To The Nearest Tenth class=

Sagot :

Answer:

CD ≈ 15.0

Step-by-step explanation:

calculate CD using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = C (7, - 4) and (x₂, y₂ ) = D (- 8, - 5)

CD = [tex]\sqrt{(-8-7)^2+(-5-(-4))^2}[/tex]

     = [tex]\sqrt{-15)^2+(-5+4)^2}[/tex]

     = [tex]\sqrt{225+(-1)^2}[/tex]

     = [tex]\sqrt{225+1}[/tex]

     = [tex]\sqrt{226}[/tex]

     ≈ 15.0 ( to the nearest tenth )

 

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