If A(0,0) and B(8,2), find AB. If necessary, submit your answer as a decimal to the nearest tenth. (Remember AB is the distance between points A and B.)

Respuesta :

We have two points, if we want to find AB, which is a distance, we can simply use the distance formula:

d = [tex]\sqrt{8^{2} + 2^{2}} = \sqrt{64 + 4} = \sqrt{68} =~ 8.25 units[/tex]

Answer:

The Length of AB is 8.2 units .

Step-by-step explanation:

Formula

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

As given

If A(0,0) and B(8,2) .

[tex]AB = \sqrt{(8-0)^{2}+(2-0)^{2}}[/tex]

[tex]AB = \sqrt{(8)^{2}+(2)^{2}}[/tex]

[tex]AB = \sqrt{64+4}[/tex]

[tex]AB = \sqrt{68}[/tex]

[tex]\sqrt{68}= 8.2\ units[/tex]

[tex]AB =8.2\ units\ (Approx)[/tex]

Therefore the Length of AB is 8.2 units .