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  • 25-10-2020
  • Mathematics
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Given A (-3, 4) and M(1, 2), find the distance AM

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Space
Space Space
  • 25-10-2020

Answer:

[tex]d = 2\sqrt{5}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

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

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

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

[tex]d = \sqrt{16+4}[/tex]

[tex]d = \sqrt{20}[/tex]

[tex]d = 2\sqrt{5}[/tex]

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