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Pablo and nadia are playing a game on a coordinate grid. Pablo puts a playing piece at point (-2,3) and nadia puts a playing piece at (3,-1). What is the distance between the two playing pieces? A. √29 B. √41 C. √22 D. √45

Respuesta :

Answer: B

Step-by-step explanation: (-2-3)^2 + (3-(-1))^2

-5^2+4^2= 41

abidemiokin

The distance between the two points is √41

Distance between two points

The formula for calculating the distance between two points is expressed as;

  • [tex]D = \sqrt{(x_2-x_1)^2+(y_2-x_1)^2}[/tex]

Given the coordinate points (-2, 3) and (3, -1), Substitute the coordinate into the formula to have;

[tex]D = \sqrt{(-1-3)^2+(3-(-2))^2} \\D = \sqrt{(-4)^2+(5)^2} \\D = \sqrt{16+25}\\ D = \sqrt{41}\\[/tex]

Hence the distance between the two points is √41

Learn more on distance here: https://brainly.com/question/23848540

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