Which of the following is a factor of 2x4 + 22x3 + 60x2?
2 answers:
Answer
One factor of the equation is x + 5 .
Option (d) is correct.
Reason
As the equation in the question is as follows
simplify the above
Taking 2x² as a common part
= 2x²(x² + 11x + 30 )
= 2x² (x² + 5x + 6x + 30)
= 2x²(x(x+5) +6(x + 5))
= 2x²(x + 5)(x + 6)
Therefore the factors are 2x² , (x +5) , (x + 6) .
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Answer:
so, the figure here is a cylinder with a semi sphere on the top, we know the height of whole structure, and the radius of the semi sphere, which is the same as the radius of the cylinder (you can see it because the radius of the semisphere is constant, and you can thin on it as half a sphere over a cylinder).
First, the cylinder will be the structure without the semi sphere, so his height will be te total height minus the radius of the semi sphere, which is 0.9μm.
so now we know the height and the radius of the cylinder, the surface or the sides of it is 2*3.14*r*h = 2*3.14*0.9μm*0.1μm = 0.5662.