James has mapped his seat and his teacher's seat on the coordinate plane at (0,10) and (–4,6). Find the distance between their seats. A. 4√ 17 units B. 16 units C. 4√ 2 units D. 4 units

Respuesta :

Answer:

Distance between their seats is 4√2 units.

Step-by-step explanation:

We are given that James mapped his seat and teacher's seat at (0,10) and (-4,6) on the coordinate plane.

So, distance between their seats= distance between the points (0,10) and (-4,6)

                                                     =[tex]\sqrt{(-4-0)^{2}+(6-10)^{2}}[/tex]

                                                     =[tex]\sqrt{(-4)^{2}+(-4)^{2}}=\sqrt{16+16}[/tex]

                                                     [tex]=\sqrt{32}=4\sqrt{2}units[/tex]