romiethecutie733
romiethecutie733 romiethecutie733
  • 21-01-2020
  • Mathematics
contestada

Point R(3,7) and point S(−1,−4) are located within the coordinate plane.

What is the distance between the two points?

137−−−√
194−−−√
13−−√
137

Respuesta :

joseaaronlara
joseaaronlara joseaaronlara
  • 21-01-2020

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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