Daphnedzul13
Daphnedzul13 Daphnedzul13
  • 24-09-2020
  • Mathematics
contestada

find a PQ to the nearest 10th and b the coordinates of the midpoint of PQ P(2,3) Q (4,-2)

Respuesta :

mhanifa
mhanifa mhanifa
  • 24-09-2020

Answer:

  • Midpoint = (3, 0.5)
  • Distance = 5.4

Step-by-step explanation:

Given points:

  • P(2,3) and Q(4,-2)

Mid point using midpoint formula:

  • x = (x1+x2)/2 = (2+4)/2 = 3
  • y = (y1 + y2)/2 = (3 -2)/2 = 0.5
  • Coordinates: (3, 0.5)

Distance PQ using distance formula:

  • d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
  • d = [tex]\sqrt{(4-2)^2 + (-2 -3)^2}[/tex] = [tex]\sqrt{2^2 + 5^2} = \sqrt{29}[/tex] = 5.4
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