suppose a square has a side length by the expression x+5/8x. what is the perimeter of the square?

This is equal to (x -5)(x - 5), or (x - 5)². 
Therefore, using the formula given above, the side's length is equal to (x - 5). 

Muliply that by four to obtain the perimeter. 

4(x - 5) = 4x -20. 

For the second problem, disregard the brackets since there are no other operations besides subtraction and addition. 

So it would become 3x^4 -x + 2 + 9x^5 - x² + x. 

Now simplify everything and rewrite it in decreasing terms of power, 

9x^5 + 3x^4 - x² + 2. 

The correct answer is addition

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for