Question

Find the length of AB

Answer 1

Answer:

D

Step-by-step explanation:

calculate AB using the distance formula

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

with (x₁, y₁ ) = A (4, 2 ) and (x₂, y₂ ) = B (9, 10 )

AB = $\sqrt{(9-4)^2+(10-2)^2}$

     = $\sqrt{5^2+8^2}$

     = $\sqrt{25+64}$

     = $\sqrt{89}$

     ≈ 9.4 units ( to 1 dec. place )

Answer 2

Answer:

$D:\:about\:9.4\:units$

Step-by-step explanation:

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

$AB =$ $\sqrt{(9-4)^2+(10-2)^2}$

$=\sqrt{5^2+8^2}$

$=\sqrt{25+64}$

$=\sqrt{89}$

$9.4\:\:units\:$