Answer:
The answer to your question is [tex]\sqrt{137}[/tex]
Step-by-step explanation:
Data
R (3, 7)
S (-1, -4)
Formula
distance = [tex]\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}}[/tex]
Substitution
distance = [tex]\sqrt{(-1 - 3)^{2} + (-4 - 7)^{2}}[/tex]
Simplification
distance = [tex]\sqrt{(-4)^{2} + (-11)^{2}}[/tex]
distance = [tex]\sqrt{16 + 121}[/tex]
distance = [tex]\sqrt{137}[/tex]