Write a polynomial that represents the perimeter of the triangle with side lengths x+3, x^2+3x+7, 4x^2-9x+12

Answers

Answer 1

Answer:

The polynomial that represents the perimeter of the triangle is  5x^2-5x +22.

Step-by-step explanation:

Perimeter of the triangle= a+b+c where a,b,c are the length of the sides of the triangle.

Given

a=  x+3,   b= x^2+3x+7,   c= 4x^2-9x+12

Perimeter of the triangle =  x+3 + x^2+3x+7+ 4x^2-9x+12

                                        = 5x^2-5x +22

The polynomial that represents the perimeter of the triangle is  5x^2-5x +22.

A polynomial is an expression which has variables , constants and terms and exponents combined with addition subtraction etc.

Example 5x^2-5x +22 is a polynomial.

It has exponent, variables and constant .


Related Questions

5. A standard-size volleyball court has an area of 1,800 square feet. The base of the court is 60 feet. What is the height of the court?

Answers

Answer:

30 feet

Step-by-step explanation:

The area is found by multiplying the base and the height. So to find the answer, you divide 1,800 by 60 to get 30.

Anybody help me please!!!!!!!!

Answers

Answer:

A reflection over the x axis

Step-by-step explanation:

With the x axis you flip it down or up

With the y you flip it to the left or to the right

what are the solution to x^2+6x=27

Answers

Step-by-step explanation:

So in order to solve, you have to set the equation equal to zero by subtracting 27 from both sides. You'll end up with x^2 + 6x -27 = 0.

Now, we can use the quadratic formula to solve.

I attached it below.

Your a value will be 1, the b value is +6, and the c value is -27.

Plug into the formula and then solve. :)

4. Car types 318 words in 3 minutes. At this rate, how many words does Carl type in 5 minutes?​

Answers

530

It is pretty simple to figure this out, all you have to is find out how many words carl can type in 1 minute and you do that by dividing 318/3 and that would give you 106. So now that you know carl types 106 wpm, you just multiply 106 by 5 and that will give you 530.
So now you know that carl can type 530 words in 5 minutes, which is quite impressive.

If f (2) = 2x2 + 3x – 9 and g(x) = 3x2 + 8 find (f + g)(x)

Answers

Answer:

3x² + 13

Step-by-step explanation:

f(2) = 2(2)² + 3(2) - 9 = 8+6-9 = 5

g(x) = 3x² + 8

added together: 3x² + 8 + 5   =  3x² + 13

Quadrants on the coordinate plane Select the quadrant or axis where each ordered pair is located on a coordinate plane. Quadrant Quadrant II Quadrant III Quadrant IV I-axis y-axis (-9.-8) (1.0) (7.5.2 Stuck? Watch a video or use a hint. Report a problem​

Answers

Answer:

lll

Step-by-step explanation:

What's the solution ?
5^3x=25^(x+2)

Answers

there is no solution

The image of (2, - 1) after a translation of (x, y) + (x -1, y+3) is

Answers

The rule for the translation is like a function. If X=2 and Y=-1, we just substitute those values in the rule of (x,y) => (x-1, y+3)

(2,-1)=>(1, 2) are the new coordinates. You went 1 to the left on the X axis and 3 up on the Y axis.

No fake answers or reported.
This is your chance to demonstrate your basketball skills! You have been chosen to participate in a paper-ball throwing contest. Directions: 1. Use the scrap paper to make 10 paper balls per group. (Wad the paper balls up tightly so they are easier to aim.) 2. Place a trash can (or other large container) 5 feet away. 3. Predict how many paper balls you will be able to get into the basket. Type your prediction. 4. Type your results as a fraction. 5. Type your results as a decimal.

Answers

Answer:

I Predict I can make all 10/10 paper balls into the trash can.

Step-by-step explanation:

Sadly, I was wrong, I only got 8 paper balls into the trash can...Its not my fault though, my cat kept attacking my midair balls, anyway I got 8/10 which means I got 80 percent which means I got...move decimal one left...I got (in decimal) .8 (I'm ticked that I missed any cat or no cat, My fav sport is basketball and usually in really good with my shots)

Solve for x. Round to the nearest tenth!

Answers

Answer:

x=1.7

Step-by-step explanation:

sin20=x/5

x=5sin20

x=1.7

Please help! - Geometry - 15 points - One question -

Answers

Answer: m<DCB= 50 degrees

Step-by-step explanation:

120= (15x+5)+(22x+4)

120= 37x+9

111= 37x

x=3

15(3)+5

45+5=

50

50

15x+5+22x+4=120
37x+9=120
37x=111
x=3
M

Solve for the value of x! Please help don’t use this just for points

Answers

Answer:

x=3

Step-by-step explanation:

If all of the angles and sides are congruent, then you would just subtract 7 by 4 and get 3 for x.

3 because it’s congruent to the other triangle so and the other 7 then 3+4=7

HELP me please with 9,10,11,12

Answers

Answer:

9.) The Outlier is 18

-The outlier is the number that stands out and is different

2x – y = 7

y = 2x + 3

Answers

Answer:

2x – y = 7   answer for this one is  x-1/2y+7/2  (the '/' is a fraction)

y = 2x + 3 is    x=1/2y+-3/2

Step-by-step explanation:

Sheldon is a long distance runner. He can run a mile at a consistent pace of 6 4/5 minutes. How many miles can he run in 30 minutes, if he keeps that pace? miles. please put as fraction​

Answers

Answer:

n

Step-by-step expmlanation:

Answer:

10-15 miles I believe

A box is shaped like an octagonal prism. Here is what the base of the prism looks like. If the height of the box is 7 inches, the volume of the box will be [1] cubic inches.

Answers

Answer:

The volume of the box is 33.796 cubic inches

Step-by-step explanation:

Given

[tex]Height = 7in[/tex]

See attachment for the base of the prism

Required

The volume of the box

From the attachment, we have:

[tex]a = 1in[/tex] -- side length of the octagon

The area is then calculated as:

[tex]Area = 2 * (1 + \sqrt 2)a^2[/tex]

So, we have:

[tex]Area = 2 * (1 + \sqrt 2)* 1^2[/tex]

[tex]Area = 2 * (1 + \sqrt 2)* 1[/tex]

[tex]Area = 2 * (1 + \sqrt 2)[/tex]

Evaluate the square root

[tex]Area = 2 * (1 + 1.414)[/tex]

[tex]Area = 2 * (2.414)[/tex]

[tex]Area = 4.828[/tex]

The volume is then calculated as:

[tex]Volume = Height * Base\ Area[/tex]

[tex]Volume = 7 * 4.828[/tex]

[tex]Volume = 33.796[/tex]

Answer:

287 is the right answer

Step-by-step explanation:

Hopes this helps.

Simplify by multiplying

(5x-2)(3x+4)

Answers

Answer:

15x - 8

Step-by-step explanation:

hope it helps

15x^2+14x-8

Hope this helped ψ(`∇´)ψ

a computer store sells six different computers four different monitors five different printers and three different multimedia packages how many different computer systems are available?

please help this is urgent ​

Answers

Answer:

Im pretty sure its 18.

Step-by-step explanation:

Using the Fundamental Counting Theorem, it is found that 360 different computer systems are available.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, the store sells six different computers four different monitors five different printers and three different multimedia packages, hence the parameters are [tex]n_1 = 6, n_2 = 4, n_3 = 5, n_4 = 3[/tex], and the number of systems is:

[tex]N = 6 \times 4 \times 5 \times 3 = 360[/tex]

To learn more about the Fundamental Counting Theorem, you can check https://brainly.com/question/24314866

Each figure shows a triangle with one of its angle bisectors.

Answers

Answer:

m<2 is 17 degrees

Step-by-step explanation:

We can see that the angle at the vertex E was bisected to give two different but equal angles

Thus, we have it that;

2x + 7 = 4x-3

4x-2x = 7+ 3

2x = 10

x = 10/2

x = 5

so m<2 = 4(5) -3 = 20-3 = 17 degrees

whats the surface area of 12 length 4 high and 5 width it is also a Triangle prism

Answers

Answer:

The answer is most likely 174.68

Step-by-step explanation:

Using the formula A = (2A_B) + (a + b + c)(h)

we can find the surface area

12 is a and c

5 is b

4 is h

This question was vague so the answer might be incorrect.

how many students must be enrolled for the teacher to make 1,000 profit per month

Answers

Answer:

20

Step-by-step explanation:

IS A RIGHT ??! PLZ HELP ASAP !!

Answers

Answer:

I think so

Step-by-step explanation:

Please mark brainliest and I will give you a good report

It should be the right answer.

Solve n÷6>2. Graph the solution.

Answers

Step-by-step explanation:

n/6 > 2

x6. x6

n > 12

hope this helps

Evaluate the expression shown below and write your answer as a fraction in simplest form. ​

Answers

Answer:

33/4=8.25 or 8 1/4

Step-by-step explanation:

Form a third-degree polynomial function with real coefficients, with leading coefficient 1, such that - 2 + i and 7 are zeros.

Answers

In standard form, this third-order polynomial - call it p(x) - has real coefficients a, b, c, d so that it is written as

p(x) = a x ³ + b x ² + c x + d

We're told the leading coefficient is a = 1, so

p(x) = x ³ + b x ² + c x + d

Since the coefficients are all real, any complex roots with non-zero imaginary part occurs alongside its complex conjugate, so the fact that -2 + i is a root means that its conjugate, -2 - i is also a root.

Then by the factor theorem, we can write p(x) as the product of linear terms involving its roots:

p(x) = (x - (-2 + i )) (x - (-2 - i )) (x - 7)

Now just expand this to get

p(x) = x ³ - 3 x ² - 23 x - 35

AABC is dilated by a factor of to produce AA'B'C! 3 What is A'B' , the length of AB after the dilation? What is the measure of 24? A. AB = 68, MZA= 28" B. AB'= 15, mZA= 62 C. ABP = 17, m.ZA'= 14° D. A'B'= 17, mAA'= 28​.
ILL MARK BRANLIEST

Answers

Answer:

a it is a because u can see it

Matthew invested $4,700 in an account paying an interest rate of 3 3/8% compounded
monthly. Peyton invested $4,700 in an account paying an interest rate of 3 1/4%
compounded continuously. After 14 years, how much more money would Matthew
have in his account than Peyton, to the nearest dollar?

Answers

Answer:

$126

Step-by-step explanation:

We solve using Compound Interest formula

For Matthew

Matthew invested $4,700 in an account paying an interest rate of 3 3/8% compounded monthly.

P = $4700

R = 3 3/8 % = 3.375 %

t = 14 years

n = Compounded Monthly = 12

Hence,

First, convert R as a percent to r as a decimal

r = R/100

r = 3.375/100

r = 0.03375 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 4,700.00(1 + 0.03375/12)^(12)(14)

A = 4,700.00(1 + 0.0028125)^(168)

A = $7,533.80

For Peyton, we are using a different compound interest formula because it is compounded continuously

Peyton invested $4,700 in an account paying an interest rate of 3 1/4%

compounded continuously.

P = $4700

R = 3 1/4 % = 3.25%

t = 14 years

n = Compounded continuously

First, convert R as a percent to r as a decimal

r = R/100

r = 3.25/100

r = 0.0325 rate per year,

Then solve the equation for A

A = Pe^rt

A = 4,700.00e^(0.0325)(14)

A = $7,408.01

After 14 years, the amount of money Matthew would have in his account than Peyton, to the nearest dollar is calculated as:

$7,533.80 - $7,408.01

= $125.79

Approximately = $126 to the nearest dollar

Answer:

126

Step-by-step explanation:

126 to the nearest dollar

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HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

  A (-2, 5)

Step-by-step explanation:

The attached shows the rectangle and the offered points. The point not on the rectangle is A(-2, 5).

__

If we examine the coordinates, we see that the y-values must be -2 or 3 for a point to be on the rectangle. Similarly, the x-values must be -2 or 5.

The offered point A has an appropriate x-value, but not an appropriate y-value. Point A is not on the rectangle.

Find the volume of a cylinder if the radius is 3 and the height is 9

Answers

Answer:

81pi

Step-by-step explanation:

pi3^2=9pi

9pi * 9 = 81pi

Answer:

254.34 un³

Step-by-step explanation:

π × 3² × 9

π × 9 × 9

3.14 × 9 × 9

254.34

need the answers to these questions please

Answers

Answer:

a) [tex]p = 88\,cm[/tex], b) [tex]p = 24\,cm[/tex], c) [tex]p \approx 25.424\,m[/tex], d) [tex]p \approx 39.368\,cm[/tex]

Step-by-step explanation:

a) The perimeter is the sum of the three sides of the internal square and the remaining sides of the external rectangle, that is:

[tex]p = 3\times 8\,cm + 2\times 4\,cm +2\times 20\,cm + 16\,cm[/tex]

[tex]p = 88\,cm[/tex]

b) The perimeter is the sum of the two sides of the internal triangle and the remaining sides of the external rectangle, that is:

[tex]p = 2\times 4\,cm + 2\times 6\,cm + 4\,cm[/tex]

[tex]p = 24\,cm[/tex]

c) The perimeter is the sum of the two sides of the circular section and the three sides of the lower rectangle, that is:

[tex]p = \frac{\pi}{2}\times 6\,cm + 8\,cm + 6\,cm + 2\,cm[/tex]

[tex]p \approx 25.424\,m[/tex]

d) The perimeter is the sum of the external sides of the triangle and rectangle, that is:

[tex]p = 10\,cm + 12\,cm + 12\,cm + 12\,cm - \sqrt{(12\,cm)^{2}-(10\,cm)^{2}}[/tex]

[tex]p \approx 39.368\,cm[/tex]

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