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Scorpion4ik [409]
2 years ago
7

The lengths of two sides of a triangle are shown. Side 1: 3x2 − 4x − 1 Side 2: 4x − x2 5 The perimeter of the triangle is 5x3 −

2x2 3x − 8. Part A: What is the total length of the two sides, 1 and 2, of the triangle? Show your work. (4 points) Part B: What is the length of the third side of the triangle? Show your work. (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).
Mathematics
1 answer:
sukhopar [10]2 years ago
4 0

The following results are;

  • The total length of the two sides is \rm 2x^2 + 4.
  • The length of the third side is \rm  y = 5x^3 -4x^2 + 3x -12.
  • Yes, Part A and Part B show that the polynomials are closed under addition and subtraction.
<h3>What is the triangle?</h3>

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

In a triangle, the sides and perimeter are given.

\rm Side\ 1: 3x^2 - 4x - 1 \\\\Side\ 2: - x^2 + 4x + 5\\\\Perimeter = 5x^3 - 2x^2 +3x - 8

a.  The total length of the two sides will be

\rm 3x^2 - 4x - 1 + (- x^2 + 4x + 5) \\\\\rm 3x^2 - 4x - 1 - x^2 + 4x + 5) \\\\2x^2 + 4

The total length of the two sides is \rm 2x^2 + 4.

b.  Then a length of the third side (y) will be

\rm 3x^2 - 4x - 1 + (- x^2 + 4x + 5) + y = 5x^3 - 2x^2 +3x - 8\\\\

On solving for y, we have

\rm y = 5x^3 - 2x^2 +3x - 8 -( 3x^2 - 4x - 1)  - (- x^2 + 4x + 5)\\\\y =  5x^3 - 2x^2 +3x - 8 - 3x^2 +4x + 1  + x^2 - 4x - 5\\\\ y = 5x^3 -4x^2 + 3x -12

The length of the third side is \rm  y = 5x^3 -4x^2 + 3x -12.

c.  Yes, Part A and Part B show that the polynomials are closed under addition and subtraction.

More about the triangle link is given below.

brainly.com/question/25813512

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Answer:

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Step-by-step explanation:

Breaking this down, we have 2 right triangles with sides of 3, 4, and 5 miles, and 3 rectangles with dimensions 3 x 5, 4 x 5, and 5 x 5 miles. Remember that the area of a triangle is 1/2 x b x h , where b and h are the triangle's base and height. The base and height of the triangles at the bases of the figure are 3 and 4, so each triangle has an area of 1/2 x 3 x 4 = 1/2 x 12 = 6 sq. mi, or 6 + 6 = 12 sq. mi together.

Onto the rectangles, we can find their area by multiplying their length by their width. Since the width of these rectangles is the same for all three - 5 mi - we can make our lives a little easier and just "glue" the lengths together, giving us a longer rectangle with a length of 3 + 4 + 5 = 12 mi. Multiplying the two, we find the area of the rectangles to be 5 x 12 = 60 sq. mi.

Adding this area to the triangle's area gives us a total area of 12 + 60 = 72 sq. mi.

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<u>Difference between total job benefits and total employee compensation:</u>

<em>Employee compensation:</em>

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<em>Total job benefits:</em>

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Answer:

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Explanation:

Once you discover that an amount of money was stolen from your debit card account, it is important to report it immediately to the card issuer. This will prevent "liability for unauthorized debit charges on your end." Each type of card that you avail has a set of rules when it comes to the <em>card owner's duties and liabilities. </em>

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