Add. (−5x4+6x3−43)+(6x5−x2+12x+12) express the answer in standard form. enter your answer in the box.

Step-by-step explanation:

Standard form states that you write the terms in the descending degree.

As per the statement:

Add.

Remove the bracket.

then;

In this polynomial:

Highest exponent is, 5 so, the entire term must be written first with

The next exponent is 4, so that comes the next term we have;

and so on..

we get;

Therefore, the standard form is,

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: