Answer:
circumference of a circle = 2*pi*radius
just multiply 3.14 (pi) by 2 by the radius/diameter divided by 2
To achieve balance, the momentum on both sides must be
equal so that it cancels out. Momentum is simply the product of mass and
distance, therefore:
50 pounds * 6 ft = 100 pounds * X
X = 3 ft
Hence B must be placed 3 ft from the pivot.
the expression simplified is:
![12x^3 - 25x^2 + 9](https://tex.z-dn.net/?f=12x%5E3%20-%2025x%5E2%20%2B%209)
<h3>
How to simplify the given expression?</h3>
Here we have the expression:
![(4x - 3)*(3x^2 - 4x - 3)](https://tex.z-dn.net/?f=%284x%20-%203%29%2A%283x%5E2%20-%204x%20-%203%29)
We just need to distribute the product, we will get:
![(4x - 3)*(3x^2 - 4x - 3)\\\\(4x)*(3x^2 - 4x - 3) - 3*(3x^2 - 4x - 3)\\\\12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9](https://tex.z-dn.net/?f=%284x%20-%203%29%2A%283x%5E2%20-%204x%20-%203%29%5C%5C%5C%5C%284x%29%2A%283x%5E2%20-%204x%20-%203%29%20%20-%203%2A%283x%5E2%20-%204x%20-%203%29%5C%5C%5C%5C12x%5E3%20-%2016x%5E2%20-%2012x%20-%209x%5E2%20%2B%2012x%20%2B%209)
Now we just need to group terms with the same exponent of x:
![12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9\\\\12x^3 + (-16 - 9)x^2 + (-12 + 12)x + 9\\\\12x^3 - 25x^2 + 9](https://tex.z-dn.net/?f=12x%5E3%20-%2016x%5E2%20-%2012x%20-%209x%5E2%20%2B%2012x%20%2B%209%5C%5C%5C%5C12x%5E3%20%2B%20%28-16%20-%209%29x%5E2%20%2B%20%28-12%20%2B%2012%29x%20%2B%209%5C%5C%5C%5C12x%5E3%20-%2025x%5E2%20%2B%209)
That is the expression simplified
If you want to learn more about simplification:
brainly.com/question/723406
#SPJ1
Option E.
Though this answer is based off of the assumption that they are all relatively the same size.