Respuesta :

The coordinate of a point whose distance from both P and Q is exactly 13 is; (15, 24)

The distance between points, P and Q can be evaluated by the Pythagoras theorem as follows;

  • Distance, PQ = √(20-10)² + (36-12)²

  • PQ = √(100+576)

  • PQ = √676

  • PQ = 26.

Therefore, a point whose distance from both P and Q is exactly 13 is the midpoint of PQ.

Therefore,

  • x = (20 + 10)/2

  • x = 15

  • y = (36 + 12)/2

  • y = 24.

The coordinate of a point whose distance from both P and Q is exactly 13 is; (15, 24)

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