anonymous
  • anonymous
The coordinates A(0, 0), B(0, 5) and C(3, 0) are graphed and connected together. What 3-dimensional shape will be created when this shape is rotated about the y-axis? Provide an explanation and proof for your answer to receive full credit.
Mathematics
schrodinger
  • schrodinger
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jim_thompson5910
  • jim_thompson5910
`The coordinates A(0, 0), B(0, 5) and C(3, 0) are graphed and connected together` what 2D shape is formed?
anonymous
  • anonymous
I don't know.
anonymous
  • anonymous

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jim_thompson5910
  • jim_thompson5910
why not plot them and find out? go ahead and give it a shot
anonymous
  • anonymous
@jim_thompson5910 A triangle?
anonymous
  • anonymous
yes because there are only 3 points that are plotted and connected so there are 3 sides of the shape and there is only one shape with 3 sides
anonymous
  • anonymous
What about when it's rotated?
anonymous
  • anonymous
cam you post a pic of it when it is plotted
anonymous
  • anonymous
I didn't have any kind of graph paper, I just used my imagination.
anonymous
  • anonymous
...
anonymous
  • anonymous
|dw:1444405455880:dw|
anonymous
  • anonymous
it would still be a triangle
jim_thompson5910
  • jim_thompson5910
Yes you'll have a triangle. If you rotated that triangle around the y axis, you'll get a 3D cone. It might be hard to imagine, so grab a piece of paper, cut out a triangle, then spin the triangle around its axis.
jim_thompson5910
  • jim_thompson5910
|dw:1444422093763:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1444422106546:dw|

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