abhandia374
Answered

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What is the approximate length of AB¯¯¯¯¯¯¯¯?

What Is The Approximate Length Of AB class=

Sagot :

Answer

9.2 units

Step-by-step explanation:

A(-2,-2) and B(4,4) then the length is given by the distance formula

length = [tex]\sqrt{(4-(-2))^{2}+(4-(-3))^{2} }[/tex] units

           = [tex]\sqrt{6^{2}+7^{2} }[/tex] units

           = [tex]\sqrt{85\\[/tex] units

           = 9.2 units          

Answer:

AB ≈ 9.2 units

Step-by-step explanation:

calculate the length using the distance formula

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

with (x₁, y₁ ) = A (- 2, - 3 ) and (x₂, y₂ ) = B (4, 4 )

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

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

     = [tex]\sqrt{6^2+7^2}[/tex]

     = [tex]\sqrt{36+49}[/tex]

     = [tex]\sqrt{85}[/tex]

     ≈ 9.2 units ( to the nearest tenth )

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