Respuesta :

Mistystar4881

Hey there!

Distance formula:

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

Plug in variables:

d = [tex]\sqrt{(0-(-6))+(0-(-7))}[/tex]

Simplify.

d = [tex]\sqrt{6+7}[/tex]

d = [tex]\sqrt{13}[/tex]

The distance between the two points is [tex]\sqrt{13}[/tex]  units.

Hope this helps!

Step-by-step explanation:

[tex]\sf Given\begin{cases}\sf x_1=-6 ,y_1=-7\\ \sf x_2=0, y_2=0\end{cases}[/tex]

  • We know that distance formula is
  • √(x2-x1)^2+(y2-y1)^2
  • [tex] \sf \rightarrowtail \: \sqrt{ {(0 + 6)}^{2} + {(0 + 7)}^{2} } \\ \sf \rightarrowtail \: \sqrt{ {(6)}^{2} + {(7)}^{2} } \\ \sf \rightarrowtail \: \sqrt{36 + 49 } \\ \sf \rightarrowtail \: \sqrt{85} \\ \sf \rightarrowtail \: 9.2[/tex]