simshorsiegirlovtg7w simshorsiegirlovtg7w
  • 24-03-2020
  • Mathematics
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What is the length of the segment joining the points at (−6, 8) and (6, 3)?

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carlosego
carlosego carlosego
  • 02-04-2020

For this case we must find the distance between the points:

[tex](x_ {1}, y_ {1}): (- 6,8)\\(x_ {2}, y_ {2}) :( 6,3)[/tex]

By definition, the distance between two points is found by:

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

Substituting the points:

[tex]d = \sqrt {(6 - (- 6)) ^ 2+ (3-8) ^ 2}\\d = \sqrt {(6 + 6) ^ 2 + (- 5) ^ 2}\\d = \sqrt {144 + 25}\\d = \sqrt {169}\\d = 13[/tex]

So the distance is 13 units

Answer:

13 units

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