Side1 : 3x^2 − 4x − 1 (^to the second power)
Side2: 4x − x^2 + 5 (^to the second power)
Perimeter of the triangle is: 5x^3 -2x^2+3x-8 (^to the second power)

Please Explain:
Part A: What is the total lenge of sides 1 and 2 of the triangle?
Part B: What is the length of the 3rd side of traingle?
Part C: Is Part A and Part B identify the polynomials are closed under addition and subtraction-please show math

Answers

Answer 1

9514 1404 393

Answer:

  A. 2x^2 +4

  B. 5x^3 -4x^2 +3x -12

  C. addition and subtraction of polynomials result in polynomials (closed)

Step-by-step explanation:

A. The total of the two side lengths is ...

  (3x^2 -4x -1) +(-x^2 +4x +5) = (3 -1)x^2 +(-4+4)x +(-1+5) = 2x^2 +4

__

B. The length of the third side is the difference between the total for all three sides and the total for the given two sides:

  (5x^3 -2x^2 +3x -8) - (2x^2 +4) = 5x^3 +(-2-2)x^2 +3x +(-8-4)

  = 5x^3 -4x^2 +3x -12

__

C. Addition of the two polynomials results in a polynomial. Subtraction of the two polynomials results in a polynomial. There is nothing here to indicate the set of polynomials is not closed under addition and subtraction.


Related Questions

find the greatest number than divides 45 60 75 without leaving remainder​

Answers

Answer:

15

Step-by-step explanation:

15 is the greatest number that divides 45 60 75 without leaving remainder

Answer:

15

Step-by-step explanation:

Let write the factors of each number:

45: (1,3,5,9,15,45)

60:(1,2,3,4,5,6,10,12,15,20,30,60)

75:(1,3,5,15,15,75).

The greatest common factor is 15. So the answer is 15.

please help, my course ends tonight and all im getting are spammers
Research some terms for parts of a circle and find examples of them in fields such as engineering or architecture. Describe in detail how these terms are used and how these uses relate to what you’ve learned in class.

Answers

Answer:

parts of a circle = tangent, chord, arc, segment, sector, diameter, radius, circumference.

A lot of jobs use area and perimeter such as; Surveying, flooring estimates architecture, mechanical engineering,

Typically, a land surveyor conducts and records a perimeter survey and part of this includes the transverse  

Surveyors typically measure positions in series. Starting at control points, they measure angles and distances to new locations and use trigonometry to calculate positions in a plane coordinate system. Measuring a series of positions in this way is known as "running a traverse." A traverse that begins and ends at different locations is called an open traverse.

Here they create segments as seen below attached.

Engineers  Drawing Circles: Begins by defining the radius, diameter and circumference and asking students to draw circles with a given radius, circumference or area. and when requiring they draw two circles with the same centre, one property of each circle being given in example with bridges, or arc of a circle working with calculating precise length for material lists.

The Annulus: the shape formed between two circles. They use the properties of the annulus by completing a table with values of pertaining to the properties of the inner circle, the outer circle and the annulus.

 

With sectors, engineers, can defining major and minor sector, they calculate the arc length and the area of a sector of a circle. They have learnt how to complete a table of values of properties of a circle and a sector of that circle given different properties from which to start with.

Architecture typically used series of circles in gothic architecture, but also art deco and earlier historic arches, use of semi-circular arches in architecture, and tangents are used as a .function to compute a building's height if they know their distance from the structure and the angle between their eyes and the building's top; clinometers can help them measure those angles.

Metal fabricators and product design workers use spring dividers help them inscribe an arc or create a circle pattern.

I would then write a little more about chords and radius

Need help so confused thankssss

Answers

Let complementary angle be x,

Then the other angle is 4x

x + 4x = 90 ( complementary angles)

5x = 90

x = 90/5

x = 18,

The measure of the smaller angle = 18

And the measure of the larger angle = 4x

= 4 * 18

= 72

The supplementary of the larger angle is,

Let y be the other supplementary angle.


72 + y = 180 ( Supplementary angles)

y = 180 - 72

y = 108.

Hence, the other supplementary angle is 108 degrees.


Hope you understood. Plzzz let me know if you have any doubts.

Solve this inequality: 4x-8>-40

Answers

Answer:

x > - 8

Step-by-step explanation:

4x - 8 > - 40

4x > - 40 + 8

4x > - 32

Divide 4 on both sides,

4x / 4 > - 32 / 4

x > - 8

Answer:

x > 12

Step-by-step explanation:

4x - 8 > 40

Add 8 to both sides

4x > 48

Divide both sides by 4

x > 12

I need help completing this answer are you available

Answers

Answer:

Step-by-step explanation:

i need help figuring it out

Answers

There are no attachments!

If(a²-1) x²+(a-1)x+a²-4a+3=0 is an identity in x, then find the value of a​

Answers

Answer:

Step-by-step explanation:

[tex](a^2-1)x^2+(a-1)x+a^2-4a+3=0\\\\Calculate\ and\ identify\ the\ polynomials\\\\\Longleftrightarrow\ a^2x^2-x^2+ax-x+a^2-4a+3=0\\\\\Longleftrightarrow\ a^2x^2+ax+a^2-4a+3=x^2+x+0\\\\\Longleftrightarrow\ \left\{\begin{array}{ccc}a^2&=&1\\a&=&1\\a^2-4a+3&=&0\\\end{array} \right.\\\\\Longleftrightarrow\ \left\{\begin{array}{ccc}(a-1)(a+1)&=&0\\a-1&=&0\\(a-1)(a-3)&=&0\\\end{array} \right.\\\\\\We\ must\ exclude\ a=-1\ and\ a=3\ (not\ solution)\\\Longrightarrow\ a=1\\[/tex]

The length of a picture is 14.25 inches shorter than twice the width period if the perimeter of the picture is 133.5 inches, find its dimensions

Answers

Answer: Dimension = 27 inches by 39.75 inches

Concept:

A perimeter is a path that encompasses/surrounds/outlines a shape.

Perimeter (rectangle) = 2 (l + w)

l = length

w = width

Solve:

l = 2w - 14.25

w = w

P = 133.5

Given equation

P = 2 (l + w)

Substitute values into the equation

133.5 = 2 (2w - 14.25 + w)

Combine like terms

133.5 = 2 (3w - 14.25)

Distributive property

133.5 = 6w - 28.5

Add 28.5 on both sides

133.5 + 28.5 = 6w - 28.5 + 28.5

162 = 6w

Divide 6 on both sides

162 / 6 = 6w / 6

w = 27 in

l = 2w - 14.25 = 2 (27) - 14.25 = 39.75 in

Hope this helps!! :)

Please let me know if you have any questions

In the figure, ΔABC and ΔDEF are similar. What’s the scale factor from ΔABC to ΔDEF?

Answers

Answer: 1:3
Explanation: because they are similar, the segments of the triangle are related in some way. If you make 5 and 15 into a fraction or ratio you get 5/15 or 5:15. Then reduce it to the simplest form and you get 1/3 or 1:3 and that is your answer.

Is Statistics mathematics or science? Defend your answer.

Answers

Answer:

Statistics is a mathematical science pertaining to the collection, analysis, interpretation or explanation, and presentation of data. It is applicable to a wide variety of academic disciplines, from the physical and social sciences to the humanities.

Statistics is maths.

Why:-

Statistics is related to maths because we study, use and even consider statistic problems with reference to mathematics.

• It is mostly used to find the census, which is maths.

• It is used to find interest rates and other banking terms using statistics, which is again related to math.

• It is also used to find the average people living in a village or panchayat, which is also math.

Therefore I strongly believe that Statistics is Maths.

Thank You!

Find the area of each shaded region.

Answers

The answer in photo don't forget put heart ♥️

12345 are divisible by 15 with exlpin ​

Answers

Answer:

hfwhww45 5h wahdaw 5656 adshjdawh bh4 54

Step-by-step explanation:

5767

12345

Sum of digits = 1+2+3+4+5

= 15

Which means divisible by 3

Ends with 0 or 5 = Yes ends with 5

Therefore the number is divisible by 15

12345÷15 = 823

Divisiblity rule of 15 = Any number is divisible by 15 if the sum of the digits is divisible by 3 and the number ends with a 0 or 5.

Must click thanks and mark brainliest

In a colony, there are 55 members. Every member posts a greeting card to all the
members. How many greeting cards were posted by them?

Answers

Answer:

55*54

=2970

Step-by-step explanation:

Find the focus and directrix of the parabola y = .5(x + 2)2 – 3​

Answers

Answer:

comparing equation with standard equation x 2 =4aya=2/5co-ordinates of focus =(o,a) i.e. (0, 2/5)equation of directrix=y=-a i.e. y=-(2/5)length of latus rectum= 4a i.e. 8/5co-ordinates of latus rectum=(-2a,a) and (2a,a) i.e. (-4/5,2/5) and (4/5,2/5)..

Step-by-step explanation:

And please marks me as brainliests..please and follow me...

A sports centre has a seating capacity of 600. Seventy-five percent of the seats are occupied. How many seats are unoccupied?

Answers

Answer:

150 are unoccupied

Step-by-step explanation:

If 75% are occupied, then 100% -75% = 25% are unoccupied

600 *25%

600 *.25

150

150 are unoccupied

Answer:

150

Step-by-step explanation:

100% - 75% = 25%

25% of seats unoccupied

hence,

number of seats unoccupied = 25/100 * 600 = 150

translate this into an expression: the quotient of a number, x, and 8, could you please explain it to me?​

Answers

Answer:

x/8

Step-by-step explanation:

First, we are given "the quotient of...". This means that we are dividing something/something else. If two numbers are given in the phrase "something and something else", the first number given will be the something, and the second number will be the something else.

The first number listed is x. Therefore, we have

x/something else.

Next, we are given "and 8", so we have x/8 as our expression

What is the slope of the line passing through the points (6,1) and (-3,-4)?​

Answers

Answer:

5/9

Step-by-step explanation:

y2-y1/x2-x1 = 5/9

The number of hearing aids that needs to be produced and sold is??

Answers

Answer:

14.36 AND 9.89 ===> 14 or 10

Step-by-step explanation:

Y =  Ax2 Bx C

Enter coefficients here >>>  -4 97 -568

   

Standard Form: y = -4x²+97x-568    

-24.25 -12.125 147.015625 -588.0625 20.0625

Grouped  Form: No valid Grouping      

   

Graphing Form: y = -4(x-12.13)²+20.06    

     

Factored Form: PRIME    

   

Solution/X-Intercepts: 14.36 AND 9.89    

   

Discriminate =321 is positive, two real solutions    

   

VERTEX: (12.13,20.06)     Directrix: Y=20.13    

the recipe for pumpking pie instructs you to bake the pie at 425∘F, for 15 minutes and then reduce the oven temperature to 350∘F. What is the change in temperature in degrees Celsius?

Answers

Answer:

ΔT = -75°F

Step-by-step explanation:

ΔT = T₁ - T₀ = 350 - 425 = -75°F

Dia is 10 years old. How many years have to add with twice of her age to get 24? ​

Answers

Answer:

4

Step-by-step explanation:

twice her age:

10*2 = 20

24-20 = 4

Answer:

4 i believe that's the answer

Complete the equation: x2 + 8x + __ = (__)^2

Answers

Answer:

B

Step-by-step explanation:

16,x+4

by completing square formula

Prove that if (c, f(c)) is a point of inflection of the graph of f and f'' exists in an open interval that contains c, then f''(c)=0 Hint: Apply the First Derivative Test and Fermat's Theorem to the function g=f'

Answers

g=f′ is differentiable on an open interval containing c. Since (c,f(c))
is a point of inflection, the concavity
changes at x=c

Therefore, f′′(x) changes signs at x=c.

Thus, by the First Derivative Test, f′ has a local extremum at x=c

Hence, by Fermat's Theorem f′′(c)=0

We can conclude that if (c, f(c)) is a point of inflection of the graph of f and f'' exists in an open interval that contains c, then f''(c)=0.

What is the differentiation?

The process of finding derivatives of a function is called differentiation in calculus. A derivative is the rate of change of a function with respect to another quantity.

We can prove this statement using the First Derivative Test and Fermat's Theorem.

First, we know from the First Derivative Test that at a point of inflection, the first derivative of the function (in this case, f') must equal 0. Therefore, at the point (c, f(c)), f'(c) = 0.

Next, we can apply Fermat's Theorem. This theorem states that if a function f has a local maximum or minimum at c, then f'(c) = 0. Since the point (c, f(c)) is a point of inflection, we can apply Fermat's Theorem to say that f'(c) = 0.

Now, since f'' exists in an open interval that contains c, we can use the fact that if f'(c) = 0, then f''(c) = 0.

Therefore, we can conclude that if (c, f(c)) is a point of inflection of the graph of f and f'' exists in an open interval that contains c, then f''(c)=0.

To learn more about the differentiation of an equations visit:

https://brainly.com/question/25731911.

#SPJ2

Find the area of the following figure. Explain how you found your answer.
HELP ASAP WILL GIVE BRIANLYEST

Answers

Answer:

Below

Step-by-step explanation:

Let's say that each square on the grid represents 1 cm

First find the area of the two triangles

For the larger one: A = bh/2

A = 3 x 3 / 2

  = 4.5 cm^2

For the smaller one : A = bh/2

A = 2 x 2 / 2

   = 2 cm^2

For the rectangle : A = lw

A = 4 x 5

   = 20 cm^2

Add them all up to get the area

4.5 + 2 + 20 = 26.5 cm^2

Hope this helps!

Answer:

26 1/2 units

Step-by-step explanation:

First find the area of the rectangle at the bottom

A = l*w

A = 5 *4 = 20

Then find the area of the left triangle

A =1/2 bh = 1/2 (3 * 3) = 9/2

Then find the area of the right triangle

A = 1/2 bh = 1/2 ( 2*2) = 4/2 =2

Add the areas together

20 + 9/2+2 = 22 +9/2 = 22+4 1/2= 26 1/2

PLEASE ANSWER THIS !!!!

Answers

Answer:

option D

Step-by-step explanation:

Area of the square is 100 m² so each side is √100 = 10 m and half the area is 50 m²

Area of one quarter of the circle is ¼πr² = ¼π(10²) = 25π

The shaded area is thus (25π - 50) m²

Find the minimum turning point of y = x^2 + x - 12

Answers

Answer:

(x+4)(x-3)

Step-by-step explanation:

x^2+x-12

=x^2+(4-3)x-12

=x^2+4x-3x-12

=x (x+4)-3 (x+4)

=(x+4)(x-3)

Answer:x=6

Step-by-step explanation:

Charla has six segments with which to make two triangles. The segments lengths are 2 in., 3 in., 4 in., 5 in., 6 in., and 7 in. Which are possible side lengths of her two triangles?

2 in., 4 in., 6 in. and 3 in., 5 in., 7 in.
2 in., 5 in., 6 in. and 3 in., 4 in., 7 in.
2 in., 3 in., 4 in. and 5 in., 6 in., 7 in.
2 in., 3 in., 6 in. and 4 in., 5 in., 7 in.

Answers

2, 3, 4, 5, 6, 7. Is the correct answer

Answer:

The answer is option C
2 in., 3 in., 4 in. and 5 in., 6 in., 7 in.

Step-by-step explanation:

Find an upper bound for E(h) the error of the machine approximation of the two-point forward difference formula for the first derivative and then find the h corresponding to the minimum of E(h).

The two-point forward difference formula for f'(x) is:_________

Answers

Answer:

I doubt it is not going to be a great

If the lengths of the legs of a right triangle are 5 and 12, what is the length of the hypotenuse?

Answers

Answer:

13

Step-by-step explanation:

If we have a right triangle, we can use the Pythagorean theorem to find the hypotenuse

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

5^2 + 12^2 = c^2

25+144= c^2

169 = c^2

Take the square root of each side

sqrt(169) = sqrt(c^2)

13= c

Answer:

The length of the hypotenuse is 13.

Step-by-step explanation:

[tex]a^{2}[/tex] = [tex]b^2 + c^2[/tex]

[tex]a^2 = 12^2 + 5^2[/tex]

[tex]a^2 = 144 + 25[/tex]

[tex]a^2 = 169[/tex]

a=[tex]\sqrt{169}[/tex]

a= 13

Here we use the idea of the Pythagoras' theorem. Which suggests that [tex]a^{2}[/tex] = [tex]b^2 + c^2[/tex] in which  [tex]a^{2}[/tex] is the hypotenuse of the triangle and [tex]b^2[/tex] and [tex]c^{2}[/tex] are the two other lengths of the triangle.

HOPE THIS HELPED

which of the following
is not
a fraction equivalent to 3/4?
a) 6/8
b) 9/12
c) 12/18
d) 21/28
e) 27/36

Answers

Answer:

c

Step-by-step explanation:

12/18 = 2/3

Answer:c

Step-y-step explanat:c

Given the graph below select the factors that comprise the function.
f(x) = ____ * ____ * ____ * ____
a.) (x - 2)
b.) (x + 1)
c.) (x - 1)
d.) x
e.) 1
f.) (x + 3)
h.) (x + 2)
i.) (x - 3)

Answers

Answer:

Below.

Step-by-step explanation:

The zeroes are at x = -2, 0, 1 and 3 so the factors are

(x +2)

x

(x - 1)

(x - 3)

Other Questions
-8(.75)-2(5+-4-4-4)+7(5)(5) Find the least common multiple of 14 and 22. How many dimes are there in four hundredand sixty-seven million dollars? A word or word group that has been broken off from a sentence is a sentence fragment.Mark the complete sentences with an S and the sentence fragments with an F.EXAMPLE : __S__ We went to a lake. __F__ For two weeks.1. _____ Until the last day2. _____ Coming late tonight3. _____ The loud explosion scared me4. _____ Too late to matter5. _____ Had the right answer6. _____ Because he heard the band playing7. _____ Spring is here8. _____ The snow has melted9. _____ In front of the last house10. _____ Through she didnt complain11. _____ The fog began to lift12. _____ What we need is some free time13. _____ The new singing rage on television14. _____ The alarm rang at seven oclock15. _____ As early as possible16. _____ Hardly another person on the street17. _____ The plane travels faster than the speed of sound18. _____ Without damaging the metal19. _____ We are investigating the surface of the moon20. _____ Learning more about our solar system each day21. _____ Come here22. _____ Are you illMark the complete sentences with an S and the sentence fragments with an F1. That lay on the floor2. The old tree was struck by lightning3. The creaking sound of a rusty gate4. Just as I fell asleep5. Jud crawled into the tent6. He laughed7. The girls laughing and crying8. If we get enough rain9. Riding through the fog10. The fire gone from the stove11. I live in that hotel12. At the other end of the rope13. He turned as slowly as he could14. They were gathering rocks15. The cake is ruined16. If the cookies are burned17. Brought the first valentine to Mother18. The car turning the corner19. After Joe finished his dinner20. Tall building on the right21. Over the lawn and onto the porch22. Ground covered with snow Find the value of m.LRA3m +21 U6mO A. 14. 7 A door-to-door salesperson knocks on Mary's door and convinces her to purchase the Wonder Vacuum for $500. Soon after the salesperson leaves, Mary begins to have second thoughts about the transaction. Which statement about the situation is correct Does Ryan use any similes in this poem? turtle by kay ryan The unit of force newton is a derived unit.Why? What is te SI unit of time? A 7-year-old boy is brought to the emergency department by his parents several minutes after he fell through a window. He is bleeding profusely from a 6-cm wound of his medial right thigh. Immediate management of the wound should consist of: You are the security analyst for your organization. Clients are complaining about being unable to connect to the wireless network. After looking into the issue, you have noticed short bursts of high-intensity RF signals are interfering with your wireless network's signal. Which type of attack are you most likely experiencing hi what's up . what's your fav online game Explain the working principle of a clinical thermometer At what point in the essay must you state what your argument is?A. In the last paragraph as a big revileB. In the title.C. In the second paragraph after a paragraph of background.D. In the first paragraph. How does latitude affect a climate zone?A. Climate zones at high latitudes are cooler because they are closer to the equator.B. Climate zones at high latitudes receive a lot of precipitation because they are farther C. from the equator.D. Climate zones at low latitudes receive little precipitation because they are closer to the ocean. la barrera de Linfocitos B Consider the following.3^5x 1 = 7(a) Find the exact solution of the exponential equation in terms of logarithms.(b) Use a calculator to find an approximation to the solution rounded to six decimal places. 1. In the past, Sam cashed his paycheck each month at Ready Cash, a check cashing service thatcharges a 5% fee. He recently opened a checking account at Bank of America so he can nowdeposit and/or cash his paycheck without a fee. If Sam is making $28,500 per year, how much willhe save by not going to Ready Cash anymore? Which table represents a function?GO-30-28y-10-11-50-56y-505-6-4-2-208242-431-42.530 What effects are produced on environment by industry?