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klasskru [66]
2 years ago
12

Solve the following system of equations. Show all work and solutions.

Mathematics
1 answer:
Hitman42 [59]2 years ago
4 0
  • y=2x²+6x+1
  • y=-4x²+1

Make the equations equal and solve for x

  • 2x²+6x+1=-4x²+1
  • 6x²+6x=0
  • 6x(x+1)=0
  • 6x=0 or x+1=0
  • x=0 or x=-1

For x=0

  • y=-4(0)+1=1

For x=-1

  • y=-4(1)+1=-3

The solutions are

  • (0,1) and (-1,-3)

Graph attached

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Check the picture below.

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now as for the perimeter, you can pretty much count the units off the grid for the segment CB, so let's just find the lengths of AC and AB,

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\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
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%  (a,b)
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%  (c,d)
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so, add AC + AB + CB, and that's the perimeter of the triangle.

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