Answer:
Step-by-step explanation:
To write any decimal as a fraction you divide by 1 and multiply by a number (ranging from 10, 100, 1000 etc.) that will make 0.46 a whole number, this will explain:
Let x = 
10x = 
100x = 
this is our perfect fraction, now we simplify later
100x - 10x = 
90x = 
this is to confirm both fractions are equal
x is the same as as 
as 
but here x = because a fraction has to have no decimals.
So 0.46 is equal any of these values, as a fraction, on the other hand, it's improperly equal to 
here I divided by 2 to bring down the proper fraction. (fraction at its simplest form)
Simplify,,,,,,,,,,,,,,,,,,,
tatuchka [14]
It is D , if you plus into a calculator it simplifies for you !!
Answer:
27
Step-by-step explanation:
If you have an exponent that is a fraction, you need to make a radical with the index from the denominator and an exponent of the radicand from the numerator.
(243)^3/5=(![\sqrt[5]{243}^3](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B243%7D%5E3)
)
This would come out as ![\sqrt[5]{14348907^}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B14348907%5E%7D)
. this further simplifies down to the final answer of 27
Hello,
x^2-y^2=(x+y)(x-y)
x^3-y^3=(x-y)(x²+xy+y²)
Let's use Horner's division
.........|a^3|a^2.|a^1..........|a^0
.........|1....|5....|6..............|8....
a=p...|......|p....|5p+p^2....|6p+5p^2+p^3
----------------------------------------------------------
.........|1....|5+p|6+5p+p^2|8+6p+5p^2+p^3
The remainder is 8+6p+5p^2+p^3 or 8+6q+5q^2+q^3
Thus:
8+6p+5p^2+p^3 = 8+6q+5q^2+q^3
==>p^3-q^3+5p^2-5q^2+6p-6p=0
==>(p-q)(p²+pq+q²)+5(p-q)(p+q)+6(p-q)=0
==>(p-q)[p²+pq+q²+5p+5q+6]=0 or p≠q
==>p²+pq+q²+5p+5q+6=0
And here, Mehek are there sufficients explanations?
8. D: The <em>longest sides of the quadrilaterals are 30 and 10</em>. That is a 30 : 10 ratio, which simplifies to <em>3 : 1, or </em>3/1. It's not 1 : 3 because it is the ratio between the large (comes first) to the small (comes second) figure.
9. B: <em>x corresponds to 26</em>, and from the previous problem, we figured out that <em>the sides of the larger figure are 3 times larger than the corresponding one on the smaller one</em>. So <em>x is 1/3 the length of 26</em>, which is 26/3.
