Question

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

Answer 1

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 = $\sqrt{(4-(-2))^{2}+(4-(-3))^{2} }$ units

           = $\sqrt{6^{2}+7^{2} }$ units

           = $\sqrt{85$ units

           = 9.2 units          

Answer 2

Answer:

AB ≈ 9.2 units

Step-by-step explanation:

calculate the length using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

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

AB = $\sqrt{(4-(-2))^2+(4-(-3))^2}$

     = $\sqrt{(4+2)^2+(4+3)^2}$

     = $\sqrt{6^2+7^2}$

     = $\sqrt{36+49}$

     = $\sqrt{85}$

     ≈ 9.2 units ( to the nearest tenth )