Answer:
8x^3-7x^2-11x+9
Step-by-step explanation:
(8x^3-5x-1)-(7x^2+6x-10)
remove unnesasary ( )
8x^3-5x-1 -(7x^2+6x-10)
the distribute
8x^3-5x-1 -7x^2-6x+10
combine like terms
8x^3-11x+9-7x^2
use the communative property to reorder the equation
8x^3-7x^2-11x+9
Answer:
A plane and a sphere
Step-by-step explanation:
Because there is a sphere being intersected by a plane, or flat surface.
Hope this helps!
Answer:=6x3−9c
Step-by-step explanation:
3x3+4x2+3x3−4x2−9c
=3x3+4x2+3x3+−4x2+−9c
Combine Like Terms:
=3x3+4x2+3x3+−4x2+−9c
=(3x3+3x3)+(4x2+−4x2)+(−9c)
=6x3+−9c
Use the general formula:
Volume = Height * (area of top+4*area at mid height+area at bottom) /6
Example for a cube of side s:
Vcu=s(s^2+4s^2+s^2)/6=s^3
Example for a cone of radius r
Vco=h(0+4*pi r^2/4+pi r^2)/6=pi r^2 h/3
Example for a sphere or radius r:
Vsph=2r*(0+4pi r^2 + 0)/6 = 4pi r^2 /3
So for a square frustrum with end sides a & b, height h:
Vf=h*(a^2+4((a+b)/2)^2+b^2)/6=(a^2+(a+b)^2+b^2)h/6
or simply
Vf=(a^2+(a+b)^2+b^2)h/6