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
i think that you should ask google for the answer to that problem because if we don't know it google does
so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:
now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.
next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.
next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.
since both lines shade region a, this means that region a is the solution.