Question 1 (Essay Worth 10 points) (07.02 MC)
The lengths of three sides of a trapezoid are shown below: Side 1: 11z2 + 4z − 6 Side 2: 4z − 7 + 12z2 Side 3: −8 + 13z2 + 4z The perimeter of the trapezoid is 7z3 + 42z2 − 15z + 1.

Part A: What is the total length of sides 1, 2, and 3, of the trapezoid? (4 points)

Part B: What is the length of the fourth side of the trapezoid? (3 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. (3 points)

Question

10-08-2017
Mathematics

contestada

Question 1 (Essay Worth 10 points) (07.02 MC)
The lengths of three sides of a trapezoid are shown below: Side 1: 11z2 + 4z − 6 Side 2: 4z − 7 + 12z2 Side 3: −8 + 13z2 + 4z The perimeter of the trapezoid is 7z3 + 42z2 − 15z + 1.

Part A: What is the total length of sides 1, 2, and 3, of the trapezoid? (4 points)

Part B: What is the length of the fourth side of the trapezoid? (3 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. (3 points)

Respuesta :

Otras preguntas

A kite 100 ft above the ground moves horizontally at a speed of 6 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing

A triangular plot of land has one side along a straight road measuring 147147 feet. A second side makes a 2323degrees° angle with the road, and the third side

algebraic expression Monica asked her friends to buy a charity raffle ticket for $3. All but 4 of her friends bought a ticket, and she raised $18. How many frie

A certain drug is used to treat asthma. In a clinical trial of the drug, 26 of 275 treated subjects experienced headaches (based on data from the manufacture

Identify internal and external factors that regulate cell division

Financial management process deals with a) Investments b) Financing decisions c) Both a and b d) None of the above

Calculate the mean of this data set: 12, 35, 44, 74, 23, 49, 45, 18, 90, 56, 84, 38, 7. What is the sample proportion of numbers that are within +10 of the mean

Applying the Segment Addition Postulate Point B lies between points A and C on AC. Let x represent the length of segment AB in inches. A B 3x Use the segment to

Read the following excerpt from “The Gift of the Magi” and answer the question. For there lay The Combs--the set of combs, side and back, that Della had worship

what is x2 + 2x + 9 = 0

Louli Louli · Answer 1 · 2017-08-21T01:00:16+02:00

Part A:
Side 1 + side 2 + side 3 = 11z2 + 4z − 6 + 4z − 7 + 12z2 −8 + 13z2 + 4z
= 11z2 + 12z2 + 13z2 + 4z + 4z + 4z - 6 - 7 - 8
= 36z2 + 12z -21

Part B:
The parameter of the trapezoid is the summation of the lengths of its four sides, thus:
Side 4 = Parameter - (side 1 + side 2 + side 3)
= Parameter - output of part A
= 7z3 + 42z2 − 15z + 1 - 36z2 - 12z + 21
= 7z3 + 6z2 - 27z +22

Part C:
For a polynomial to be closed under addition and subtraction operations, the performance of these operations on the polynomial should give a new polynomial.
Since the addition in Part A and the subtraction in Part B both resulted in new polynomials, thus, the answers of these two parts show that polynomials are closed under addition and subtraction.