3x4+6x3+9x2
Factored: (3x2)(x2+2x+3)
Answer:
C) 3x2(x2+2x+3)
Hope this helps! :)
<span>2(3y - 7) - 5y(2 - y)
2*3y - 2*7 - 5y*2 -5y*(-y)
6y - 14 - 10y + 5y</span>²
5y² + 6y - 10y - 14
<span>5y² -4y - 14</span>
Answer: 
Step-by-step explanation:
The formula for the lateral area of a cone
is:

Where:
is the radius of the circular base of the cone
As we know its diameter
, its radius is 
is the height of the cone

This is the lateral area of the volcano with the shape of a cone
The equation of the line through (0, 1) and (<em>c</em>, 0) is
<em>y</em> - 0 = (0 - 1)/(<em>c</em> - 0) (<em>x</em> - <em>c</em>) ==> <em>y</em> = 1 - <em>x</em>/<em>c</em>
Let <em>L</em> denote the given lamina,
<em>L</em> = {(<em>x</em>, <em>y</em>) : 0 ≤ <em>x</em> ≤ <em>c</em> and 0 ≤ <em>y</em> ≤ 1 - <em>x</em>/<em>c</em>}
Then the center of mass of <em>L</em> is the point
with coordinates given by

where
is the first moment of <em>L</em> about the <em>x</em>-axis,
is the first moment about the <em>y</em>-axis, and <em>m</em> is the mass of <em>L</em>. We only care about the <em>y</em>-coordinate, of course.
Let <em>ρ</em> be the mass density of <em>L</em>. Then <em>L</em> has a mass of

Now we compute the first moment about the <em>y</em>-axis:

Then

but this clearly isn't independent of <em>c</em> ...
Maybe the <em>x</em>-coordinate was intended? Because we would have had

and we get
