Answer:
Heat makes the particles in a solid vibrate faster, giving them more kinetic energy. Faster-vibrating particles bump into one another more often and hit each other harder. ... When a sample of solid, liquid, or gas matter cools down, it contracts. When matter cools down, its particles lose kinetic energy.
Answer:
f(x) = (x -6)² +14
Step-by-step explanation:
Completing the square involves writing part of the function as a perfect square trinomial.
<h3>Perfect square trinomial</h3>
The square of a binomial results in a perfect square trinomial:
(x -h)² = x² -2hx +h²
The constant term (h²) in this trinomial is the square of half the coefficient of the linear term: h² = ((-2h)/2)².
<h3>Completing the square</h3>
One way to "complete the square" is to add and subtract the constant necessary to make a perfect square trinomial from the variable terms.
Here, we recognize the coefficient of the linear term is -12, so the necessary constant is (-12/2)² = 36. Adding and subtracting this, we have ...
f(x) = x² -12x +36 +50 -36
Rearranging into the desired form, this is ...
f(x) = (x -6)² +14
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<em>Additional comment</em>
Another way to achieve the same effect is to split the given constant into two parts, one of which is the constant necessary to complete the square.
f(x) = x² -12x +(36 +14)
f(x) = (x² -12x +36) +14
f(x) = (x -6)² +14
The first step to solving this is to write the number in exponential form
2

=

since the bases are the same,, set the exponents equal to one another
-IxI = 7
now change the signs on both sides of the equations
IxI = -7
this equation is false for any value of x because the absolute value function needs to always be positive or 0,, which is not the case for this expression
x ∈ ∅
this means that the answer to your question is x ∈ ∅
let me know if you have any further questions
:)
Answer:
the answer might be b. because if you multiply it by 4 it is 512.
Step-by-step explanation: