maritzabulnes maritzabulnes
  • 26-02-2024
  • Mathematics
contestada

On a coordinate plane, what is the distance between the points 4,9 and 15,18

Respuesta :

jimthompson5910 jimthompson5910
  • 26-02-2024

Answer:

Exact distance = [tex]\sqrt{202}[/tex]

Approximate distance =  14.2127

Work Shown

[tex](x_1,y_1) = (4,9) \text{ and } (x_2, y_2) = (15,18)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(4-15)^2 + (9-18)^2}\\\\d = \sqrt{(-11)^2 + (-9)^2}\\\\d = \sqrt{121 + 81}\\\\d = \sqrt{202}\\\\d \approx 14.2127\\\\[/tex]

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