Respuesta :

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]

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