Answer:

Step-by-step explanation:
Given
5 tuples implies that:

implies that:

Required
How many 5-tuples of integers
are there such that
From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.
Also considering that repetition is allowed: This implies that, a number can be repeated in more than 1 location
So, there are n + 4 items to make selection from
The selection becomes:



Expand the numerator




<u><em>Solved</em></u>
Answer:
Step-by-step explanation:
3(x-3)+x(r+4)
3x-9+xr+4x
7x+9+xr
The measure of a right angle is 90 degrees
Answer:
Step-by-step explanation:
to solve this problem we can use the Pythagorean theorem
UT and TL are the legs, while LU is the hypotenuse
We have to find LU so we can proceed like this
x^2 + (x+1)^2 = LU^2
x^2 + x^2 + 1 + 2x = LU^2
2x^2 + 2x + 1 = LU^2
LU = +/- 
we have to take only the positive value because a length can’t be negative.
2x^2 + 2x + 1 is positive for every value of x, so the final answer is


if the degree of the expression of the numerator is greater than that of the denominator, the rational expression has no horizontal asymptote.