(06.04 HC) A figure is located at (2, 0), (2, −2), and (6, 0) on a coordinate plane. What kind of 3-D shape would be created if the figure was rotated around the x-axis? Provide an explanation and proof of your answer to receive full credit. Include the dimensions of the 3-D shape in your explanation.

Right cone

Step-by-step explanation:

The figure plotted by the three points.

If rotated around the x- axis, it will create a cone, since it will be rotated around its height, its catet AC.

Also, one point C on the the right will be rotated , with a catet AB being rotated on the left.

Since the catets AC and AB of the triangle ABC are perpendicular, the rotation about the x-axis will create specifically a right cone.

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step-by-step explanation:

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-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x