enanoide113
enanoide113 enanoide113
  • 19-05-2022
  • Mathematics
contestada

The coordinates of point R are (−3, 2), and the coordinates of point T are (4, 1). What is the length of RT?

Respuesta :

Heather
Heather Heather
  • 01-06-2022

Answer: [tex]d=\sqrt{50}, 5\sqrt{2}, \,\text{or about}\;7.1[/tex]

Step-by-step explanation:

      We can use the distance formula to solve.

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

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

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

[tex]\displaystyle d=\sqrt{(7)^2 +(-1)^2}[/tex]

[tex]\displaystyle d=\sqrt{49+1}[/tex]

[tex]\displaystyle d=\sqrt{50}[/tex]

d ≈ 7.1

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