The volume displacement method is a manifestation of Archimedes' Principle. This principle states that the volume of the object placed on a known volume of water, is equal to the volume of water displaced. Actually, it could just be any liquid. Thus, whatever the displaced volume is, that is equivalent to the volume of the metal sample. I can't give an exact answer because there is no given information. But the concept works that way.
Answer:
2x^3-8x^2+8x+12
Step-by-step explanation:
split them up
use distributive property
2x-6(x-2)
2x^2-4x-6x+12(x+1)
use distributive property again
2x^3+2x^2-4x^2-4x-6x^2-6x+12x+12
simplify
2x^3-8x^2+8x+12
I forgot if you can divide it by 2 or not to simplify it even more. If you can, divide it by 2. I forgot the rules
If you divide it by 2, then the answer is
x^3-4x^2+4x+6
The function of the object height is an illustration of a projectile motion
The object will never hit the ground
<h3>How to determine when the object hits the ground?</h3>
The function is given as:
h=16t^2+80t+96.
When the object hits the ground, h = 0
So, we have:
16t^2+80t+96 = 0
Divide through by 16
t^2+5t+6 = 0
Expand
t^2 + 3t + 2t + 6 = 0
Factorize
t(t + 3) + 2(t + 3) = 0
Factor out t + 3
(t + 2)(t + 3) = 0
Solve for t
t = -2 or t = -3
The time (t) cannot be negative.
Hence, the object will never hit the ground
Read more about projectile motion at:
brainly.com/question/1130127
Answer:124.29ft (approximately 125ft)
Step-by-step explanation:
Answer:
x = 6 , 5. For these values of x they are equal.
Step-by-step explanation:
2x² - x + 55 =(x +5)²
2x² - x + 55 = x² + 2*x*5 + 5²
2x² - x + 55 = x² + 10x + 25
2x² - x + 55 - x² - 10x - 25 = 0
2x² - x² - x - 10x + 55 - 25 = 0
x² - 11x + 30 = 0
x² -6x - 5x + 30 = 0
x(x - 6) - 5(x - 6) = 0
(x - 6)(x - 5) = 0
x - 6 = 0 ; x - 5 = 0
x = 6 ; x = 5