tay8298282838 tay8298282838
  • 08-05-2019
  • Mathematics
contestada

P(1, 10)and Q(7,4) are the endpoints of a line segment. What is the midpoint M of that line segment

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thatgirlgamer20
thatgirlgamer20 thatgirlgamer20
  • 08-05-2019

Answer:

(4, 7)

Step-by-step explanation:

The midpoint formula is (((x1 + x2)/2), ((y1+y2)/2)))

x1 +x2 = 1 +7 = 8

8/2 = 4

y1 + y2 = 10 + 4 = 14

14/2 = 7

(4, 7) is the midpoint

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jimrgrant1 jimrgrant1
  • 08-05-2019

Answer:

M = (4, 7)

Step-by-step explanation:

Using the midpoint formula

M = [[tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]

with (x₁, y₁ ) = P(1, 10) and (x₂, y₂ ) = Q(7, 4)

M = [ [tex]\frac{1}{2}[/tex](1 + 7), [tex]\frac{1}{2}[/tex](10 + 4) ] = (4, 7)

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