ziggyg100 ziggyg100
  • 25-11-2020
  • Mathematics
contestada

Calculate the shortest distance between P and Q.

Calculate the shortest distance between P and Q class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 02-12-2020

Answer:

10.6 cm

Step-by-step explanation:

Shortest distance between P(3, -1) and Q(-5, 6) using [tex] PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Plug in the values

[tex] PQ = \sqrt{(-5 - 3)^2 + (6 -(-1))^2} [/tex]

[tex] PQ = \sqrt{(-8)^2 + (7)^2} [/tex]

[tex] PQ = \sqrt{64 + 49} [/tex]

[tex] PQ = \sqrt{113} = 10.6 [/tex] (1 d.p)

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