Mathematics, 02.01.2020 09:31 DiegoMath

The lengths of three sides of a quadrilateral are shown below: side 1: 1y2 + 3y − 6 side 2: 4y − 7 + 2y2 side 3: 3y2 − 8 + 5y the perimeter of the quadrilateral is 8y3 − 2y2 + 4y − 26.

part a: what is the total length of sides 1, 2, and 3 of the quadrilateral? (4 points)

part b: what is the length of the fourth side of the quadrilateral? (4 points)

part c: do the answers for part a and part b show that the polynomials are closed under addition and subtraction? justify your answer. (2 points)

this is alegbra 1 9th grade i just need some

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Answer from: onlymyworld27

Part A : Total length of Given 3 side = 6y^2+12y-21

Part B : Length of side 4 = 8y^3-8y^2-8y-5

Part C : Yes, Part A & Part B shows that Polynomials are closed under addition and subtraction

Step-by-step explanation:

Given: Sides of a quadrilateral, Side 1 = y^2+3y-6 , Side 2 = 2y^2+4y-7 ,

Side 3 = 3y^2+5y-8 .

Perimeter of Quadrilateral = 8y^3-2y^2+4y-26

To find: [A] Total length of given 3 sides.

[B] Length of Side 4.

[C] Do part A & B show that the polynomials are closed

under addition and subtraction?

Part A -

Total length of Given 3 side = Side 1 + Side 2 + Side 3

= y^2+3y-6+2y^2+4y-7+3y^2+5y-8

= y^2+2y^2+3y^2+3y+4y+5y-6-7-8

= (1+2+3)y^2+(3+4+5)y+(-6-7-8)

= 6y^2+12y+(-21)

= 6y^2+12y-21

Part B -

Length of side 4 = perimeter - total length of 3 sides

= 8y^3-2y^2+4y-26-(6y^2+12y-21)

= 8y^3-2y^2+4y-26-6y^2-12y+21

= 8y^3-2y^2-6y^2+4y-12y-26+21

= 8y^3+(-2-6)y^2+(4-12)y-26+21

= 8y^3+(-8)y^2+(-8)y-5

= 8y^3-8y^2-8y-5

Part C -

Yes, Part A & Part B shows that Polynomials are closed under addition and subtraction because after addition and subtraction result is also a polynomial.

Answer from: Quest

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:

Answer from: Quest

You just divide and you will find x

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