Respuesta :

the answer will be option B 6.7

Step-by-step explanation: in co-ordinate geometry, let the P(x1, y1) and Q(x2, y2) be two points.

so their distance will be = sqaure root of ((x1 - x2)^2+(y1 - y2)^2)

here we take x1 = 1 , y1 = 2

and x2 = 4 , y2 = 8

so putting the values in the equation we get,

[tex]\sqrt{(1-4)^2 + (2 - 8)^2}[/tex]

= [tex]\sqrt{(-3)^2+(-6)^2}[/tex]

= [tex]\sqrt{9+36}[/tex]

=[tex]\sqrt{45}[/tex]

=6.70820393

Answer:

B. 6.7

Step-by-step explanation:

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

[tex]\sqrt{(1-4)^{2} +(2-8)^{2} }[/tex]

[tex]\sqrt{(-3)^{2} +(-6)^{2} }[/tex]

[tex]\sqrt{9 +36 }[/tex]

[tex]\sqrt{45 }[/tex]

[tex]3\sqrt{5}[/tex]

Then plug-in calculator

6.70820393...