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## Explain why |−3| + |9| represents the distance between the points (−3Explain why |−3| + |9| represents the distance between the points (−3,

Question

Explain why |−3| + |9| represents the distance between the points (−3Explain why |−3| + |9| represents the distance between the points (−3, −5) and (9, −5)., −5) and (9, −5).

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Mathematics
4 months
2021-07-26T02:09:24+00:00
2021-07-26T02:09:24+00:00 1 Answers
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## Answers ( )

Answer:Here we need to use:

The distance between two points (x₁, y₁) and (x₂, y₂) is given by:

Then the distance between:

(-3, -5) and (9, -5) is just:

because both numbers inside the absolute value, we can rewrite it as:

|-3 – 9| = |-3| + |-9| = |-3| + |9| = 12

So, by finding the distance between (−3, −5) and (9, −5), we got the given expression, in this way we prove that the given expression represents the distance between these points.