Answer:
The smallest positive integer solution to the given system of congruences is 30.
Step-by-step explanation:
The given system of congruences is


where, m and n are positive integers.
It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as



Now, we can say that m>n because m and n are positive integers.
For n=1,


19 is not divisible by 5 so m is not an integer for n=1.
For n=2,



The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is

Therefore the smallest positive integer solution to the given system of congruences is 30.
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It could be represented by this:
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Answer:

Step-by-step explanation:
One is given the following expression:

In order to simplify and solve this problem, one must keep the following points in mind: the square root function (
) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: (
). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.


Take factors from out of under the radical:


Simplify,

1) True that line x = 0 is perpedicular to y = -3. Because x = 0 is parallel to the y-axis and y = -3 is parallel to the x-axis.
2) True that all the lines that are parallel to the y-axis are vertucal lines (the y-axis is vertical)
3) False that all lines perpendicular to the x-axis have a slope o 0. Their slope trends to infinity.
4) False that the equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2. The right equation is y = - 6
5) True thath the equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1
Answer: 8-a^3
You just simply the expression.