Respuesta :

Answer:

Distance between the points 5,1 and 9,-6 is 8.0622

Explanation:

Given points = (5,1) and (9,-6)

The square root of this is the distance between the points Distance  can be calculated

from the expression=   [tex]\sqrt{(x 2-x 1)^{2}+(y 2-y 1)^{2}}[/tex]

=   [tex]\sqrt{(9-5)^{2}+(-6-1)^{2}}[/tex]

=     [tex]\sqrt{(4)^{2}+(-7)^{2}}[/tex]

=     [tex]\sqrt{16+49}=\sqrt{65}=8.0622[/tex]

Distance (d) from given points = (5,1) and (9,-6) is  8.0622.