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Find the distance between the two points.
(-1, -3), (1, 3)

the distance between the two points is ____ units.





Respuesta :

Answer

[tex]2\sqrt{10}[/tex]

Explanation

1. Use Distance formula

Important to use distance formula in such problems, so keep this formula memorized for future use.

The formula to find distance amongst two points is

[tex]\sqrt{(x^2-x^1)^2 + (y^2 - y1)^2}[/tex]

2. Plug in the numbers into the formula:

1 -(-1)^2 + 3 - (-3)^2

[tex]2^2=4[/tex]

[tex]6^2 = 36[/tex]

36 + 4 = 40

3. Find the square root of 40.

[tex]\sqrt{40}[/tex]

Simplify further:

[tex]2\sqrt{10}[/tex]