Respuesta :

Answer:

c) √137

Step-by-step explanation:

Explanation:-

The distance between two points formula

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

Given points are R (3,7) and S(-1,-4)

[tex]RS = \sqrt{(-1- (3 )^{2} + (-4 -7 )^{2} }[/tex]

[tex]RS = \sqrt{(-4 )^{2} + (-11 )^{2} }[/tex]

[tex]RS = \sqrt{16 + 121 }[/tex]

RS = √137

The distance between the two points are RS = √137