Answer:
The correct option is 1.
Step-by-step explanation:
The difference of cubes is defined as
The given expression is
It can be written as
Using the property of exponent, the above expression can be written as
![[\because (x^m)^n=x^{mn}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28x%5Em%29%5En%3Dx%5E%7Bmn%7D%5D)
This is a difference of cubes.
Therefore the correct option is 1.
Step-by-step explanation:
there is the answers for this one
Answer:
the smaller number is 65
the larger number is 85
Step-by-step explanation:
Hope this helps! :)
Answer:
60
Step-by-step explanation:
We have the following sides:
AB, AC, BC
By means of the statement we know that:
The distance between A and B is 15 more than the distance between A and C, that is:
AB = AC + 15
The distance between B and C is 15 less than the distance between A and C
BC = AC - 15
We can infer that the longest side is AB, therefore being right triangular form, we have to:
AC ^ 2 + BC ^ 2 = AB ^ 2
Replacing we have:
AC ^ 2 = AB ^ 2 - BC ^ 2
AC ^ 2 = (AC + 15) ^ 2 - (AC - 15) ^ 2
AC ^ 2 = (AC ^ 2 + 30 * AC + 225) - (AC ^ 2- 30 * AC + 225)
AC ^ 2 = 60 * AC
AC = 60
Which means that the distance between mirror A and C is 60.
To check, we have:
AB = (60 ^ 2 + 45 ^ 2) ^ (1/2) = (5625) ^ (1/2) = 75
AB = AC + 15 = 60 + 15 = 75
