the measures of the sides of a triangle are 2x+3, 8x-4 and x^2. Write an expression that describes the perimeter of the triangle

Answers

Answer 1

Answer:

[tex]\textsf{Perimeter}=x^2+10x-1[/tex]

Step-by-step explanation:

The perimeter of a two-dimensional shape is the distance all the way around the outside.

Given sides of a triangle:

[tex]2x + 3[/tex][tex]8x - 4[/tex][tex]x^2[/tex]

Therefore, to find the perimeter of the triangle, sum the given sides:

[tex]\begin{aligned}\sf Perimeter & = (2x+3)+(8x-4)+x^2\\& = 2x+3+8x-4+x^2\\& = x^2 + 2x+8x+3-4\\& = x^2+10x-1\end{aligned}[/tex]

Answer 2

Perimeter=

Sum of sidesx²+2x+3+8x-4x²+2x+8x+3-4x²+10x-1

Related Questions

The idea that you can empower players to seamlessly generate new content to a game continuously to keep the game fresh: Group of answer choices Loot boxes

Answers

User-generated content is the idea that you can empower players to seamlessly generate new content to a game continuously to keep the game fresh.

User-generated content (also known as UGC or consumer-generated content material) is original, emblem-particular content material created by customers and published on social media or other channels. UGC comes in many paperwork, inclusive of photos, films, opinions, a testimonial, or even a podcast.

User-generated content (UGC) has become an essential part of the content material advertising method within the present day era in which customers are prepared to rave about your products or services online. UGC refers to the content this is created through the users of a logo.

Types of User-Generated Content

Social media content.Reviews and testimonials.Blog posts.Video content (including live streaming and AR lenses/filters)Q&A Forums (including comments)Case studies.

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please help me with math

Answers

The area of triangle BMN is 124.7 square centimeter.

What are similar triangles?

Similar triangles are triangles that their corresponding angles are equal and the ratio of their corresponding lengths are equal. They are often similar When at least Two angles are equal or The ratio of any corresponding lengths are same.

Analysis:

AB = AC = BC = 50cm

AH = AC/2 = 50/2 = 25cm

From Δ ABH, using Pythagoras theorem to find BH.

[tex](BH)^{2}[/tex] = [tex](AB)^{2}[/tex] - [tex](AH)^{2}[/tex]

[tex](BH)^{2}[/tex] = [tex]50^{2}[/tex] - [tex]25^{2}[/tex]

[tex](BH)^{2}[/tex] = 2500 - 625

[tex](BH)^{2}[/tex] = 1875

BH = [tex]\sqrt{1875}[/tex] = 43.3cm

ΔBMN and BHC are similar,

so, BM/BH = MN/HC

BM/43.3 = 12/25

25BM = 12 X 43.3

BM = 519.6/25 = 20.78cm

Area of ΔBMN

= 1/2(MN)(BM) = 1/2 x 12 x 20.78 = 124.7 square centimeter

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Lea wants to save money on a new computer. At the store near her, the computer she wants is listed at a regular price of $400.00.

On Saturday, the store will have a sale and discount the computer by 30%.



Shoppers who buy a computer that same Saturday before 9:00 a.m. will also receive an additional 10% off the sale price.

How much will Lea pay, without tax, when she buys the computer that Saturday before 9:00 a.m.?

Answers

Answer:  

Step-by-step explanation:

you take 30% and 10% and turn them into decimal like so:

30/100=0.3

10/100=0.1

400.00(0.3)=120.00

120(0.1)=12

3 men build a wall in 2 days.
How long will it take
a) 1 man
b) 2 men?

Please show working

Answers

Answer:

Step-by-step explanation:

Big clever stuff 100 men in 1 second tick tick boom

The number of man-days required for the wall is 3 x 2 = 6
Assuming each man consistently produces the same amount of effort
then 1 man will take 6/1 = 6 days
and 2 men will take 6/2 = 3 days

Find a 95% confidence interval for the mean amount of time spent on this ride. Round the values in your confidence interval to two decimal places. The 95% percent confidence interval is

Answers

95% confidence interval is 1.96

A confidence interval is defined as the range of values that we observe in our sample and for which we expect to find the value that accurately reflects the population.

For 95% confidence interval, we will keep 95% area in the center and will divide the remaining area equally on both sides.

From Standard Normal table,  P(-1.96 < Z < 1.96) = 0.95, i.e., there is a 95% probability that a standard normal variable, Z, will fall between -1.96 and 1.96.

Hence 95% percent confidence interval is 1.96

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Please help me with this geometry question, Im pretty sure you need to use SAS congruence rule

Answers

Congruent triangles are two or more triangles with the same length of sides and measure of internal angles. Thus the required proof is as shown below:

From the given diagram, it can be observed that:

AB = AC (similar property of two lines)

AC = AE (similar property of two lines)

Also,

m<A is a common angle to ΔABC and ΔADE

So that it can be concluded that;

ΔABC ≅ ΔADE (Side-Angle-Side property)

Thus since ΔABC ≅ ΔADE are congruent, then;

BC = DE (corresponding sides of congruent triangles)

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See below for the proof that sides BC and DE are congruent

How to prove the side lengths?

The given parameters are:

AC = AE

AB = AD

∠BAD = ∠EAC

By the definition of congruence, side lengths marked with I are congruent and side lengths marked with II are congruent

From the attached figure, we have the following marks:

In triangle ABC,

AB = I and AC = II

In triangle ADE,

AD = I and AE = II

This means that two corresponding sides of ABC and ADE are congruent.

Since both triangles have a congruent angle, then the last corresponding sides are also congruent

i.e. BC = DE

Hence, sides BC and DE are congruent

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Given: AD∥BC and AB∥CD
Prove: AD≅BC and AB≅CD

Answers

Answer:

BC || AD and AB || CD (given)

∠BCA ≅ ∠DAC 2. As alt.interior angles with parallel lines

∠BAC ≅ ∠DCA 3. As alt.interior angles with parallel lines

AC ≅ AC (identity)

△ABC ≅ △CDA (ASA)

AB = CD (CPCT C)

I’m guessing SSS because they are both sharing the side in the middle

-8√147x simplify do you know how to answer this?

Answers

Answer:

-56√3x

Step-by-step explanation:

√147 = 7√3

-8(7√3x)

-56√3x

9r-4(-5r-5)<-9r+10+5

Answers

Hello !

[tex]9r-4(-5r-5)<-9r+10+5\\9r+20r+20<-9r+15\\29r+20<-9r+15\\38r<-5\\r<\frac{-5}{38}[/tex]
Have a nice day

Juan wants to change the shape of his vegetable garden from a square to a rectangle, but keep the same area so he can grow the same amount of vegetables. The rectangular garden will have a length that is 2 times the length of the square garden, and the width of the new garden will be 16 feet shorter than the old garden.

Answers

the answer is x^2+(2x)(x-16)

Answer:

The answer is 32

Step-by-step explanation:

Which of the following represents x = 1/3y written in general form?





Answers

The general form of the given equation is 3x-y=0.

The given equation is [tex]x=\frac{1}{3}y[/tex].

We need to write the given equation in a general form.

What is a general form of an equation?

The general form of any equation contains the degree of variables in decreasing order. The general form of a linear equation is ax + b = 0.

That is, [tex]3x=y[/tex]

[tex]3x-y=0[/tex].

Hence, the general form of the given equation is 3x-y=0.

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Therea re 8 kids at a birthday party. If there are 6 girls and 2 boys at the party, what draction of the kids are girls?

Answers

Answer:

3/4

Step-by-step explanation:

The total number of children is 8 and the number of girls is 6. This can be represented as 6/8.

You would then need to simplify...

6/2=3

8/2=4

which which lead you to 3/4!

Find the measure of the angles indicated

Answers

Both angles have a measure of 125°.

How to find the measure of the angles?

Assuming the two horizontal lines are parallel, we know that the measure of the two indicated angles must be the same one.

Then:

-1 + 14x = 12x + 17

Now we need to solve this for x:

14x - 12x = 17 + 1

2x = 18

x =18/2 = 9

Now that we know the value of x we can replace it in any of the expressions for the angles:

-1 + 14*9 = 125°

Both angles have a measure of 125°.

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Find the area of the shaded regions.

Answers

Answer:

Area = 84.8 cm²

Step-by-step explanation:

It appears that the line BO is equal to the radius. It also looks like the missing region is equal to 1/4 of the entire area. Therefore, to find the area of the shaded region, you need to (1) find the area of the entire circle and then (2) find the area of 3/4 of the circle.

Area of Circle:

r = 6 cm

A = πr²

A = π(6 cm)²

A = π(36 cm²)

A = 113 cm²

Area of Shaded Region:

Area (Entire Circle) x 3/4 = Area (Shaded Region)

113 cm² x 3/4 = 84.8 cm²

A group of students and workers entering a metro station were asked whether they were riding the bus or the subway. The two-way table shows their answers.

How many people were polled?
A. 48
B. 69
C. 118
D. 166

Answers

Because this is a two-way table, the answer would be that 166 people were polled in total. Why? Well, there are lots of corresponding patterns leading up to this answer. We can easily find the answer by looking at the problem two different ways:

1st way: Identifying the missing solution by rows.

27 + 21 = 48 and 42 + 76 = 118, so we can find the missing value by adding 69 and 97 to get 166.

2nd way: Identifying the missing solution by columns.

27 + 42 = 69 and 21 + 76 = 97, so we can find the missing value by adding 48 and 118 to get 166, our missing solution.

Your final answer: 166 people were polled. Your answer would be D. If you need to better understand this, let me know and I will gladly assist you.
Answer: D
Short answer:
69+97=166 or
48+118=166

What is the range of Y = l0g8X?
O all real numbers less than 0
O all real numbers greater than 0
O all real numbers not equal to 0
all real numbers

Answers

Step-by-step explanation:

all real numbers not equal to 0

all real numbers

Step-by-step explanation:

[tex]What \ is\ the \ range \ of \ y = log_8x?\\x > 0 \ or\ x\in(0;\infty).\\Answer: \ all \ real \ numbers \ greater\ than \ 0.[/tex]

pls help on algebra homework!! will mark brainliest!

Answers

Answer:

32

Step-by-step explanation:

YZ = ⅗XY.

XY = 20

20 / 5 x 3 = 12

YZ = 12

XZ = YZ + XY

XZ = 20 + 12

XZ = 32

Work is attached. Hope it helps!

Create diagrams to represent the possible cases for common tangents between two circles. Your diagram can be created using multimedia sources or drawn by hand. They should not be copied and pasted from a website. Explain why your diagrams satisfy the given criteria.
No Common Tangents (10 points)

Diagram:







Justification:

Answers

The diagram to represent the possible cases for common tangents between two circles is as shown in the attachment.

How to Create Common Tangents?

A tangent line to a circle is defined as a line that touches the circle at exactly one point, never entering the circle's interior.

1. When one circle is in between another and one circle does not touch the other one, then tangent is not possible.

2. When one circle is in between another and one circle touches the other one at a point inside the circle, then only one tangent is possible.

3. When one circle intersects the other one, then two tangents are possible.

4. When one circle touches the other one at a point outside, then three tangents are possible.

5. When one circle neither intersects the other one nor inside the other one, then four tangents are possible.

Thus, the diagram to represent the possible cases for common tangents between two circles are as attached below.

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Given the function g(x) = x^2 - 5x which statement is not correct ?

Answers

Hello,

g(x) = x² - 5x

g(-3) = (-3)² - 5 × 3 = 9 - 15 = - 6 ≠ 24 ⇒ not correct

g(-1) = (-1)² - 5 × (-1) = 1 - 5 = -4 ⇒ correct

g(5) = 5² - 5× 5 = 25 - 25 = 0 ⇒ correct

g(7) = 7² - 5 × 7 = 49 - 35 = 14 ⇒ correct

Multiply Conjugates Using the Product of Conjugates Pattern
In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
332. (5 − 3x)(5 + 3x)

Answers

Answer:

The product is the difference of squares is [tex]$$\left(5-3x\right)\left(5+3x\right)=25-9{{x}^2}$$[/tex]

Step-by-step explanation:

Explanation

The given expression is (5-3 x)(5+3x).We have to multiply the given expression.Square the first term 5. Square the last term 3x.

[tex]$$\begin{aligned}&(5-3 x)(5+3 x)=(5)^{2}-(3 x)^{2} \\&(5-3 x)(5+3 x)=25-9 x^{2}\end{aligned}$$[/tex]

Avery solves the equation below by first squaring both sides of the equation.
√z^2+8 = 1 -2z
What extraneous solution does Avery obtain?
z= ?

Answers

[tex]\left(\sqrt{z^{2}+8} \right)^{2}=(1-2z)^{2}\\\\z^{2}+8=4z^{2}-4z+1\\\\0=3z^{2}-4z-7\\\\0=(z+1)(3z-7)\\\\z=-1, z=\frac{7}{3}[/tex]

We know that if z=7/3, the right-hand side will be negative, which means it is an extraneous solution as square roots cannot be negative.

The number y of objects a machine produces is proportional to the time x (in minutes) that the machine runs. The machine produces five objects in four minutes.

a. Write an equation that represents the situation.
Hellllppp me please!!!!!!!!!!!

Answers

The equation that represents the situation will be 4y = 5x.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The number y of objects a machine produces is proportional to the time x (in minutes) that the machine runs.

The machine produces five objects in four minutes.

Let y be the number of objects and x be the number of the minutes.

Then the equation that represents the situation will be

 y = (5/4)x

4y = 5x

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A drugstore sells vitamins in bottles with different pill counts. The price of each bottle is shown in the table below.

Answers

The price of one pill is approximately $0.04.

What is the price of one pill?

Division is the mathematical operation used in grouping a number into equal parts using another number. The price of one pill can be determined by dividing the total cost of a number of pills by that number.

Price of one pill = cost of 50 pills / 50

$2.05 / 50 = $0.04

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Two digit natural number whose sum is 5

When the tens place digit is x write in terms of x

Answers

The value of the given 2 digits number when the tens place digit is x write in terms of x is; 10x + y

How to find a two digit number?

We are given that the sum of a two digit number is 5.

Now, if the number is xy, then we can say that;

x + y = 5

Since x is the tens place digit, then we can say that the value of x is 10x and as such the value of the 2 digits is written as;

10x + y

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if a football player passes a football 4 feet off the ground with the velocity of 36 feet per second, how long will it take the football to hit the ground? Use the equation h=-16t^2+36t+4

Answers

The ball will hit the ground after 2.355 secs

Velocity of an object

The velocity of an object the change of displacement with respect to time.

Given the function that represents the height of football ground

h(t) = -16t^2+36t+4

The ball will hit the ground at the point where the height h(t) = 0

Substitute

-16t^2+36t+4 = 0

16t^2-36t-4 =0

4t^2-9t-1= 0

Factorize

t = 9/8 + √97/8

t = 9/8 + 1.23

t = 2.355secs

Hence the ball will hit the ground after 2.355 secs

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A rectangular plot is to be fenced off and divided into three parts/plots on land that borders a barn. If you do not fence the side along the barn, find the length and width of the plot that will maximize the area if you have 200 feet of fence. What is the largest area that can be enclosed

Answers

5000 square feet is the largest area that can be enclosed

It is given that a rectangular plot is to be fenced off and divided into three parts/plots on land that borders a barn there are and there is 200 feet of fence that is available.

One-fourth of the perimeter = 50

The other width also equals 50.

So the length of fencing = 200 - 50 - 50 = 100

So the area = 50 x 100 = 5000 square feet.

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what is the relationship between the radius, surface area and volume of a cylinder?

Answers

Answer:

A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².

There are 210 rabbits at the farm. For every 5 gray rabbits, there are 2 white rabbits. How many white rabbits are at the farm

Answers

The number of white rabbits that are at the farm is 60

Calculating quantity

From the question, we are to determine the number of white rabbits that are at the farm

From the given information,

There are 210 rabbits at the farm

and

For every 5 gray rabbits, there are 2 white rabbits

Then, we can write that

5x + 2x = 210

Where x is the number of groups of 5 gray rabbits and 2 white rabbits

Then,

7x = 210

x = 210/7

x = 30

The number of white rabbits is 2x

∴ Number of white rabbits = 2×30

Number of white rabbits = 60

Hence, the number of white rabbits that are at the farm is 60

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x³/x=x²
FACTORISE this term .show the process as well.​

Answers

first know it in a simple way

that,3-1=2 right so if we add base and numbers in power , because it has same base when x i.e x to the power 1 goes up

Step-by-step explanation:

x^3/x^1

now

x^3 *x^-1

x^3-1

x^2

proved

x^3/x the denominator and numerator can cut.
So denominator is just 1x and cut 1x in numerator
Therefore the answer is x^2

Simplify the following expression as a
monomial:

-8a8
———-
-2a7

Answers

Answer:

4a

Step-by-step explanation:

-8 / -2 = 4

a^8/a^7 = a^(8 - 7) = a

Answer: 4a

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