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A movie theater is 10 blocks north and 5 blocks east of a post office. A mall is 7 blocks north and 9 blocks east of the post office. The location of each place is shown on the coordinate plane.

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The complete question required that we determine how far is the movie theater to the mall.

Distance between the movie theatre and the mall

According to the question;

  • Upon representation of the movie theatre and mall position on the coordinate plane relative to the post office; we have;

  • Movie theater, T = (5, 10)
  • Mall, M = (9, 7).

The distance between the two points can therefore be evaluated by Pythagoras theorem as follows;

Distance, D² = (9-5)² + (7-10)²

  • D² = 4² + (-3)²

  • D² = 16 + 9

  • D² = 25

  • D = √25 = 5 blocks.

Ultimately, the movie theater is 5 blocks away from the mall.

Read more on distance between two points;

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