1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mars2501 [29]
3 years ago
11

Need answer ASAP! Thanks in advance!

Mathematics
2 answers:
hammer [34]3 years ago
6 0

Answer:

The answer to your question is below

Step-by-step explanation:

Side 1:  3x² - 2x - 1

Side 2: 9x + 2x² - 3

Perimeter: 5x³ + 4x² - x - 3

a) Length of side 1 and side 2

Length = (3x² - 2x - 1) + (9x + 2x² - 3)

            = 3x² - 2x - 1 + 9x + 2x² - 3

            = (3x² + 2x²) + (-2x + 9x) + (-1 - 3)

            = 5x² + 7x - 4

b) Length of the third side

Third side = Perimeter - side 1 - side 2

Third side = 5x³ + 4x² - x - 3 - (5x² + 7x - 4)

Third side = 5x³ + 4x² - x - 3 - 5x² - 7x + 4

Third side = 5x³ + (4x² - 5x²) + (-x - 7x) + (-3 + 4)

Third side = 5x³ - x² - 8x + 1

c) Yes, in this problem we did both operations (addition and subtraction) and we can notice that the polynomials are closed. Also they follow the closure property the addition or subtraction of two polynomials gives another polynomial.

Korvikt [17]3 years ago
3 0

Answer:

Step-by-step explanation:

The length of one side of the triangle is 3x² - 2x - 1

The length of the other side of the triangle is 9x + 2x² - 3

Part A) The total length of the two sides, 1 and 2, of the triangle is

3x² - 2x - 1 + 9x + 2x² - 3

Collecting like terms, it becomes

3x² + 2x² + 9x - 2x - 1 - 3

5x² + 7x - 4

Part B

The perimeter of the triangle is

5x³ + 4x² - x - 3

The length of the third side is

5x³ + 4x² - x - 3 - (5x² + 7x - 4)

Expanding the brackets, it becomes

5x³ + 4x² - x - 3 - 5x² - 7x + 4

Collecting like terms, it becomes

5x³ - 5x² + 4x² - 7x - x - 3 + 4

5x³ - x² - 8x + 1

Part C

Yes, the polynomials are closed under addition and subtraction because these operations produced another polynomial.

You might be interested in
When 2/3 is added to a certain number, the sum is 3 greater than twice the number. part 1: set up an equation using n to represe
Gennadij [26K]
2/3 + n = 2n + 3 <== ur equation
2/3 - 3 = 2n - n
2/3 - 9/3 = n
-7/3 = n <== ur solution

or
2/3 + n = 2n + 3...multiply everything by common denominator of 3
2 + 3n = 6n + 9
2 - 9 = 6n - 3n
-7 = 3n
-7/3 = n
7 0
3 years ago
Nate is constructing a tangent line to a circle he drew from a point outside the circle. Once he has the circle and the point is
Tema [17]

Answer:

The next step is to find the point on the circle which makes a tangent line that passes through the outside point.

Step-by-step explanation:

A tangent line to a circle is a line that touches the circle at exactly one point. You need two points to draw a line. You already have one point and the circle, then you need the other point, which lies on the circle. These two points have to lie on the same line. Notice that there are two possible tangent lines.

8 0
3 years ago
What is the value of (1/4) 2
notsponge [240]

Answer:

1/2 or 0.5

Step-by-step explanation:

Multiply 1/4 by 2/1

2/4

Simplify

1/2

Hope this helped :)

3 0
3 years ago
Read 2 more answers
13
Elden [556K]

Answer:

Distance between the 2 planes is 17.8km

The bearing of B from A is 162°

Step-by-step explanation:

5 0
3 years ago
Simplify fully<br> A) <br> X^7 / X^3 <br><br><br> B)<br> Y^5 / Y^4
DENIUS [597]

Hi,

\frac{x^{a} }{x^{b} } =x^{a-b}

a)

\frac{x^{7} }{x^{3} }= x^{7-3} = x^{4}

b)

\frac{y^{5} }{y^{4} } = y^{5-4} = y^{1} = y

;)

8 0
2 years ago
Other questions:
  • What addition doubles fact can help you find 4+3
    6·1 answer
  • Solve each expression record your answer in standard form. 5 tens+ 5 tens
    6·1 answer
  • Find the surface area of the cylinder 6cm 6cm <br> Give your answer in terms of pi
    12·2 answers
  • 10. Solve using any method.<br> 10x + 2y = 42<br> 5x + y = 20
    8·1 answer
  • Find the unit rate of buying a $36 shirt and getting another one for equal or lesser value for free
    9·1 answer
  • What is the length of one side of a cube that has a surface area of 1,734 square mm?
    12·2 answers
  • Whats the answer to this ill give brainliest
    7·2 answers
  • Write each number in standard form 6.7x10 to the 1 power
    10·1 answer
  • What is the vertical asymptote for this function?<br> y=1/x-2
    10·1 answer
  • Choose all numbers that are divisible by 3
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!