9. Suppose the perimeter of a triangle is given by
P = 13x + 5y, and two of its sides have lengths of
2x + y and 8x + 4y. What is the length of the third
side?

Answers

Answer 1

Answer:

The length of the third side is 3x

Step-by-step explanation:

Algebraic Expressions

This problem deals with the ability to manage algebraic expressions in two variables.

Recall the perimeter of a triangle is the sum of its three sides. We already know the perimeter of the triangle is:

P=13x+5y

We also know the lengths of two of its sides are 2x+y and 8x+4y. The sum of those sides is:

S2=2x+y+8x+4y

Joining like terms:

S2=10x+5y

The third side must be the difference between the perimeter and the sum above:

S3=13x+5y-(10x+5y)

Operating:

S3=13x+5y-10x-5y

Joining like terms:

S3=3x

The length of the third side is 3x


Related Questions

explain the polar form in mathematical terms ....... right answer will be mark as brainliest​

Answers

The polar form of a complex number is another way to represent a complex number. The form is called the rectangular coordinate form of a complex number. The horizontal axis is the real axis and the vertical axis is the imaginary axis.

...................................

3/5 + -7/5
Answer fast please​

Answers

Answer:

-0.8

Step-by-step explanation:

hope this helps :3

Answer:

-4/5 for fraction or -0.8 for decimal

Step-by-step explanation:

SHOW WORK ILL MARK BRAINLIST !!!!

Answers

Answer:

Let's see what to do buddy....

Step-by-step explanation:

_________________________________

Step (1)

[tex]f(x) = 3x - 2[/tex]

[tex]g(x) = {x}^{2} - 5 [/tex]

_________________________________

Step (2)

We need to find f(2) first ;

To do this we must put 2 instead of the x in f(x) function.

Let's do it :

[tex]f(2) = 3(2) - 2[/tex]

[tex]f(2) = 6 - 2[/tex]

[tex]f(2) = 4[/tex]

_________________________________

Step (3)

Now we are going to find g( f (2) ) ;

Look :

[tex]g( \: f(2) \: ) = g(4)[/tex]

So we want to find g(4) ;

which means we must put 4 instead of the x in g(x) function.

Let's do it :

[tex]g(4) = ({4})^{2} - 5 [/tex]

[tex]g(4) = 16 - 5[/tex]

[tex]g(4) = 11[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

A right rectangular prism is shown.​
To the nearest thousandth of an inch, what is the length of the diagonal, dd?

Answers

Answer:

15.56 in.

Step-by-step explanation:

i'm pretty sure i did it right, but im not sure. i haven't done geometry in like over 2 years.

find the hypotenuse of the triangle with 7 in. and 12 in. as your legs with the Pythgorean theorem (a^2 + b^2 = c^2, c equals the hypotenuse)

use that number you just got (I got [tex]\sqrt{193}[/tex]) and use it as one leg, and 7 in. as the other leg, with d as your hypotenuse

use the Phythagorean theorem again to find d, andddd... you've got your answer!

    Length of diagonal 'd' of the right rectangular prism given in the picture will be 14.765 inches.

Pythagoras theorem:     Pythagoras theorem is applicable in a right triangle.     Pythagoras theorem is given by the expression,

             (Hypotenuse)² = (Leg 1)² + (Leg 2)²

By applying Pythagoras theorem in right tringle ΔCBE,

(CE)² = (BC)² + (BE)²

(CE)² = 5² + 12²

CE = √169 = 13 inches

Similarly, apply Pythagoras theorem in right triangle ΔDCE,

(DE)² = (CD)² + (CE)²

d² = 7² + (13)²

d² = 49 + 169

d = √218

d = 14.7648

d ≈ 14.765 inches

             Hence, measure of diagonal 'd' will be 14.765 inches.

Learn more about the Pythagoras theorem here,

https://brainly.com/question/12306722?referrer=searchResults

Since the time series has trend and seasonal pattern, to forecast the quarterly sales of the textbook, the following regression equation was found: stack y t with overparenthesis on top equals 2120 space minus 620 space Q t r 1 space minus space 1320 space Q t r 2 space plus space 290 space Q t r 3 space plus space 24 space t , where Q t r 1 , Q t r 2and Q t r 3 are dummy variables corresponding to Quarters 1, 2 and 3, and t = time period. The sales in Quarter 4 of the next year are predicted to be

Answers

Answer:

Y(2)= 2120+ 48= 2168

Step-by-step explanation:

The given equation is

Yt= 2120 - 620 Qtr 1 t -1320 Qtr 2 t + 290 Q tr3 t + 24 t

Taking the quarter 1 , 2 and 3 to be dummy variable the predicted sales for the 4th qtr are

Yt= 2120 - 620 Qtr 1(0) -1320 Qtr 2(0) + 290 Q tr3 (0)  + 24 (1)

Y(1)= 2120 + 24 = 2144   ( for year =1)

Y(2)= 2120+ 48= 2168    ( for year =2)

Y(3)= 2120 + 72= 2192   ( for year =3)

where t is the number of years.

So for the next year the fourth quarter sales are predicted to be 2168.

A chain of car dealership got a shipment of 9,240 new cars. There are the same number of cars in every color. How many colors could there be?​

Answers

Answer:

9,420 colors making exactly 1 car of each color exist

Step-by-step explanation:

Since there is no additional information, such as the number of colors we have to assume the maximum. Since there are over 10 million colors that exist and there is at least one car of each color, then there would be a maximum of 9,420 colors making exactly 1 car of each color exist. On the other end of the spectrum would be 2 colors making 4,710 cars of each color.

The number of different possible colors of vehicle can be found using the relation

[tex] \frac{9240}{c} [/tex]

The number of cars shipped = 9240

The number of cars belonging to each different color is the same

The number of different colors possible :

Total number of shipment ÷ Number of cars belonging to each color

If the Number of cars belonging to each color = c

The number of different possible colors can be obtained using the expression :

[tex] \frac{9240}{c} [/tex]

Learn more :https://brainly.com/question/18109354

Find f(-5) × f(-3) f(x) = - x - 12

Answers

Answer:

63

Step-by-step explanation:

Step 1: Define

f(x) = -x - 12

f(-5) is x = -5

f(-3) is x = -3

Step 2: Find f(-5)

f(-5) = -(-5) - 12

f(-5) = 5 - 12

f(-5) = -7

Step 3: Find f(-3)

f(-3) = -(-3) - 12

f(-3) = 3 - 12

f(-3) = -9

Step 4: Find f(-5) × f(-3)

-7 × -9

63

URRRRRGGGGEEENNNNTTTTT!!!!!!

Answers

Step-by-step explanation:

Well you have to find two points on the line like points (0,2) and (2,-2)

Then you do y2-y1/x2-x1

You should be able to know what answer it is now!

Hope this helps <3

I will give you branilest!

What equation could you use to find the total entrance cost for a vehicle with any number of people?

Answers

Answer:

You are correct, and you could also write an expression where m = money, p = people, and v = vehicle

m · p · v = ___

I hope this helps you ^‿^

Simplify: 2x + 4y - x + y

Answers

Answer:

x+5y

Step-by-step explanation:

Answer:

1x+5y or x+5y is it simplfyed

Simplify.
-9 -5 -7
х
Y Z
2 6 3
X Y Z

Answers

Answer:

[tex] = {x}^{ - 11} {y}^{ - 11} {z}^{ - 10}[/tex]

Step-by-step explanation:

[tex] = \frac{ {x}^{ - 9} {y}^{ - 5} {z}^{ - 7} }{ {x}^{2} {y}^{6} {z}^{3} } \\ = {x}^{ - 9 - 2} {y}^{ - 5 - 6} {z}^{ - 7 - 3} \\ = {x}^{ - 11} {y}^{ - 11} {z}^{ - 10} [/tex]

-4x + 3 - 7x -8
Does anyone know the answer?

Answers

Answer:

-11x -5

Step-by-step explanation:

MARK BRANIEST

Answer: -11x-5

Step-by-step explanation: First, combine like terms which means -4x and -7x which gives you -11x, and then you combine 3 and -8 which gives you -5. Then it gives you to -11x-5

A principal of $1700 is invested at 6% interest, compounded annually. How much will the investment be worth after 13 years?

Answers

Answer:

$3626

Step-by-step explanation:

1700*(1+0.06)^13=3625.978

A ball is thrown into the air with an initial velocity of 22 meters per second.
The quadratic function ℎ() = −4.9
2 + 22 + 5.5 represents the height of
the ball above the ground, in meters, with respect to time , in seconds.
Part A: Determine ℎ(3) and explain what it represents.

Answers

Answer:

27.4 metres

Step-by-step explanation:

Um, your question is missing the x's. I'm going to assume, -4.9x^2+22x+5.5

= -4.9(3)^2+22(3)+5.5

= 27.4

At 3 seconds the ball is 27.4 metres above the ground.

Evaluate 2p - 3r + t for p = 10,
r = -4 and t = 5.

13
37
8

Answers

Answer:

37

Step-by-step explanation:

[tex]2p - 3r + t[/tex]

p = 10

r = -4

t = 5

Substitute values into the given equation

[tex]2(10) - 3( - 4) + 5[/tex]

Simplify

[tex]20 + 12 + 5 \\ \\ = 37[/tex]

choose the correct decimal for the expression. seven and ten-thousandths.......7.10, 0.710, 7.0010, 7.010......we chose 7.0010 and it was wrong. help​

Answers

Answer:

7.010 if it's wrong im sorry

2. If there are 95 pencils and 45 erasers in the box, what is the simplified ratio of erasers to pencils? LED

Answers

Answer:

The simplified ratio is 19:9.

Step-by-step explanation:

Answer:

19:9

Step-by-step explanation:

First, make it a fraction. 95/45. Then simplify by 5.

The sum of three consecutive rven integers is 72. Let x represent the first integer, x+2 represent the srcond integer, and x+ 4 represent the third which equation can be used to find the first integer

Answers

Given parameters:

First term of the sequence = x

Second term = x + 2

Third term =  x + 4

Sum of the first three terms  = 72

Unknown:

First term of the sequence = ?

Solution:

The sum of the first three terms is unknown;

            (x) + (x + 2) + (x + 4) = 72

Solve for x;

          x + x + 2 + x + 4  = 72

          3x + 6  = 72

            3x = 72 - 6

              3x = 66

                x = [tex]\frac{66}{3}[/tex]   = 22

The first term of the sequence is 22

The midpoint of AB is M(-1,-5). If the coordinates of A are (4, -3), what are
the coordinates of B?

Answers

The coordinates of B is (-6, -7)

How to determine the coordinates of B?

The given parameters are

A = (4, -3)

M = (-1, -5)

The midpoint of a line is calculated as

M = 1/2(x1 + x2, y1 + y2)

So, we have

(-1, -5) = 1/2 * (4 + x, -3 + y)

This gives

(-2, -10) = (4 + x, -3 + y)

Solve for x and y

4 + x = -2

-3 + y =-10

Evaluate

x = -6 and y = -7

Hence, the coordinates of B is (-6, -7)

Read more about midpoints at:

https://brainly.com/question/5566419

#SPJ1

2 points
2) At the sixth-grade school dance, there are 132 boys, 89 girls, and 14
adults. Write the ratio of the number of girls to the TOTAL number of

Answers

132=89 is the ratio. 132 boys, 89 girls.

I really need help please

Answers

Answer: A)70. B)72


The GCF between 70 and 72 is 2.

Adrian spent $19.35 on school supplies he bought two poster boards for $2.25 each he spent the remaining amount on notebooks that cost a dollar 65 each how many notebooks did Adrian Buy​

Answers

9 because when you subtract the amount of poster money from the total ($19.35), you get $14.85. $14.85 divided by $1.65 is 9, which means he bought 9 notebooks.

Answer:

9

Step-by-step explanation:

Study Island

Please help and give answers correctly for brainliest please i really need help

Answers

Answer:

a: copper wire is the largest

b: he will have both 32 if he cuts the copper shorter

Step-by-step explanation:

Find the derivative of log e^((1+tan x)) w.r.t x​

Answers

Hope this will help you

The ticket booth on the Tech campus is operated by one person, who is selling tickets for the annual Tech versus State football game on Saturday. The ticket seller can serve an average of 12 customers per hour (Poisson distributed); on average, 8 customers arrive to purchase tickets each hour (Poisson distributed). 1. Determine the average time a ticket buyer must wait (in minutes). , Round your answer to integer, the tolerance is +/- 1. 2. What portion of time is the ticket seller busy? %, Round your answer to integer, the tolerance is +/- 1.

Answers

Answer:

a

[tex]A_w  =  1.667  \ hour [/tex]

b

 [tex]b  =  0.667 \  hour  [/tex]

Step-by-step explanation:

From the question we are told that

   The mean number of ticket per hour is  [tex]\mu  =  12 \  tickets[/tex]

   The  mean number of customers arrive to purchase tickets each hour is [tex]\lambda  =  8 \  customers[/tex]

    Generally the average time the ticket buyer must wait is mathematically represented as

      [tex]A_w  =  \frac{\lambda }{ \mu [\mu -\lambda]}[/tex]

=>    [tex]A_w  =  \frac{8 }{ 12 [12-8]}[/tex]

=>     [tex]A_w  =  1.667  \ hour [/tex]

Generally the portion of time is the ticket seller busy is mathematically represented as

     [tex]b  =  \frac{\lambda}{ \mu}[/tex]

=>    [tex]b  =  \frac{8}{ 12} [/tex]

=>    [tex]b  =  0.667 \  hour  [/tex]

Emilio’s family volunteers at the local soup
kitchen every 30 days. Emilio has swimming
lessons every 9 days. He has both activities
this Saturday. When will he have both
activities again on the same day?

Answers

Answer:

Emilio will have both activities again on the same day after 90 days from this Saturday.

Step-by-step explanation:

To solve this question list the multiples of 30 and 9 to find the first common multiple because the two activities will happen again in a number divisible by both 30 and 9.

∵ The multiples of 30 are: 30, 60, 90, 120, ............

∵ The multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, .....

→ The common multiple is 90

∴ The common multiple of 30 and 9 is 90

→ That means the activities will meet again after 90 days from

   this Saturday

Emilio will have both activities again on the same day after 90 days from this Saturday.

$4.99 for 6 cans or $7.99 for 10 can

Answers

I would put $7.99 for 10 can

Answer:

$7.99 for 10 cans

Step-by-step explanation:

83 cents per can or 78 cents per can

It is cheaper to do 7.99 for 10 cans

Which of the following graphs represent a function

Answers

Answer: A

Step-by-step explanation:

Verticals line test

Answer:

A

Step-by-step explanation:

on edge 2021

The interquartile is the range of the middle of what percentage data?

Answers

i love my life SO MUCH

I'm giving ⚡️ 100 POINTS ⚡️ for a hella easy question, its provided in the picture i mark BRAINLIEST

Answers

it should be 7,620 since 10x10x10 is 1,000 and you multiply that by 7.62 and it equals 7,620

Answer:

7620 is the answer.

Step-by-step explanation:

7.62 × 10^3= 7.62 × 1000= 7620

If you like this answer then mark this answer as BRAINLIEST answer.....

Thank you ☺️☺️

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