Very urgent
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.

check the picture below.

the shape for those 3 points is simply that green triangle, we rotate it about and we end up with that, let's notice that the altitude or height of it is from x = 2 to x = 6, so is 4 units, and the radius is from y = 0 to y = -2, or 2 units.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies