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BaLLatris [955]
4 years ago
14

Given that point A is the midpoint of line segment ED, where E( -1,9) and A(4,5), what is the location of point D?

Mathematics
1 answer:
yuradex [85]4 years ago
8 0

Answer:

  D(9, 1)

Step-by-step explanation:

A being the midpoint means its coordinates satisfy ...

  A = (E + D)/2

Solving for D, we find ...

  D = 2A -E

  = 2(4, 5) -(-1, 9) = (2·4 +1, 2·5 -9)

  D = (9, 1)

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Answer:

Step-by-step explanation:

I don't know if this is what you are looking for but, I would use substitution to solve what x and y are

6x+2y = 1

is the same as -6x-2y= -1 because if you multiply everything by -1 it will equal

6x+2y = 1

so now you have

6x+2y = 1

6x+2y = 1

I would set the equation equal to one variable and substitute.

6x+2y = 1   =     2y = 1 - 6x     =      y  = (1/2) - (6x/2)     =     y = (1/2) - 3x

now plug in (1/2) - 3x in to one of the y's because they are the same equation

6x + (1/2) - 3x = 1

subtract 1/2

6x - 3x = 1/2

subtract the x's

3x = 1/2

now divide both sides by 3

x = (1/2)/ 3

x = 1/6

now that you know what x equals, plug that into the equation and find y

6(1/6) + 2y = 1

1 + 2y = 1

subtract 1

2y = 0

now divide to find y

y = 0/2

y = 0

so

x = 1/6 and y = 0  

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