"Each piece contains the same number of atoms" is the one statement among the following choices given in the question that correctly describes these broken pieces of the sample. The correct option among all the options that are given in the question is the penultimate option or the third option. I hope it helps you.
Rearrange the product
(5.91 * 10^(-3)) * (8.7 * 10^10)
as
(5.91 * 8.7) * (10^(-3) * 10^10)
We have 5.91 * 8.7 = 51.417, and 10^(-3) * 10^10 = 10^(10 - 3) = 10^7, so the original product above reduces to
51.417 * 10^7
We can "add" powers of 10 by moving the decimal place to the left:
51.417 = 5.1417 * 10
so that
51.417 * 10^7 = (5.1417 * 10) * 10^7 = 5.1417 * 10^8
The first way is _ to _
the second way is _/_
the third way is _:_
the underscores are where the numbers are supposed to go
times both sides by 2x
x(x+2)=2(4)
x²+2x=8
minus 8 both sides
x²+2x-8=0
factor
what 2 numbers multiply to -8 and add to 2
-2 and 4
(x-2)(x+4)=0
set to zero
x-2=0
x=2
x+4=0
x=-4
x=-4 and 2
