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- 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.

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- 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

I don't know.

- anonymous

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- jim_thompson5910

why not plot them and find out? go ahead and give it a shot

- anonymous

@jim_thompson5910 A triangle?

- 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

What about when it's rotated?

- anonymous

cam you post a pic of it when it is plotted

- anonymous

I didn't have any kind of graph paper, I just used my imagination.

- anonymous

...

- anonymous

|dw:1444405455880:dw|

- anonymous

it would still be a triangle

- 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

|dw:1444422093763:dw|

- jim_thompson5910

|dw:1444422106546:dw|

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