if y=2x+2 and 4x+3y=26m, then find the value of x^2+y^2

Answers

Answer 1

Answer:

x² + y² is equal to = (4 / 81)(845m² + 78m + 18)

Step-by-step explanation:

We first need to get the values of x and y, which can be done using a system of equations, substituting one of the two functions into the other:

Given:

y = 2x + 2

3x + 3y = 26m

Then:

3x + 3(2x + 2) = 26m

3x + 6x + 6 = 26m

9x + 6 = 26m

9x = 26m - 6

x = (26m - 6) / 9

Now we can solve for y:

y = 2x + 2

y = 2(26m - 6) / 9 + 2

y = 2(26m - 6) / 9 + 18 / 9

y = (52m - 12 + 18) / 9

y = (52m + 6) / 9

Now we can sum up their squares:

x² + y²

= ((26m - 6) / 9)² + ((52m + 6) / 9)²

= (676m² - 312m + 36) / 81 + (2704m² + 624m + 36) / 81

= (3380m² + 312m + 72) / 81

= (4 / 81)(845m² + 78m + 18)


Related Questions

IL GIVE BRAINLIEST AND MOREEE HELP

Answers

Answer:

-15

Step-by-step explanation:

Hope this Helps

Answer: -335

Step-by-step explanation:

Solve the system using the substitution method.
2x+y=7
x=3y
Demonstrate how you substituted to write an equation in one variable.

Answers

Answer:

(3,1)

Step-by-step explanation:

work is in picture

If x = ─7 and y= 3 , find i) x+y ii) xy iii) xꓥ2 + yꓥ2 WHAT IS THE ANSWER

Answers

Answer:

Step-by-step explanation:

1. X + y

Putting values of x and y

-7 + (-3)

= - 10

2. xy

Putting values of x and y

(-7)(-3)

= 21

3. x2 + y2

Putting values of x and y

= (-7)2 + (-3)2

= 49 + 9

= 58

What is the number of possible outcomes when a coin is tossed one time

Answers

Answer:

2.

Step-by-step explanation:

the coin could be heads or tails, but knowing me prolly 3 because I would lose the coin when I flip it.

Answer:

The possible outcomes when a coin is tossed one time are heads and tails. therefore, the number of possible outcomes is 2.

Step-by-step explanation:

I hope it's helpful!


Help please!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

[tex]g(x)=\frac{x-7}{4}[/tex]

g(15)=2

Answer 2

Step by step:
F(g(x) = the output. G(15) is when f(x) = 15. When you put two you get f(x) = 4(2) + 17 = 15 = g(x)

What would the missing coordinate be if there was an inverse relationship between points (12,3) and (x,9)

Answers

Answer:

4.

Step-by-step explanation:

inverse proportion:

12/3=x/9.

3x3=9 therefore 12/3 which is 4.

The missing coordinate is 4.

Hope this helps plz hit the crown :D

Latest Releases Depot rents DVD/Blue ray for $3.00 each and has no membership fee. Video for You rents DVD/Blue rays for $2 each but has a membership fee of $15.

Answers

Answer:

15 rentals

Step-by-step explanation:

Latest Releases Depot

rent = $3 per DVD

membership= free

let the number of DVD be x

let the expression for the total be

y= 3x----------------1

Video for You

rent= $2  per DVD

membership= $15

let the number of DVD be x

let the expression for the total be

y= 15+2x----------------2

equate 1 and 2

3x=15+2x

collect like terms

3x-2x=15

x= 15

Hence the number of DVDs needed for the two rentals to have the same amount is at least 15 rentals

4
3

(2
3
+4
2
)=start fraction, 3, divided by, 4, end fraction, left parenthesis, 2, cubed, plus, 4, squared, right parenthesis, equals

Answers

Step-by-step explanation:

here

hshdhdhjdbdgdjjd

The solution to the given expression starts fraction, 3, divided by, 4, end fraction, left parenthesis, 2, cubed, plus, 4, squared, right parenthesis, equal to 18.

What is the fundamental principle of multiplication?

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We can solve the given expression by simple multiplication,

[tex]\frac{3}{4} (2^{3} +4^{2} )\\\\\frac{3}{4} (8 +16 )\\\\\frac{3}{4} (24 )\\\\3 \times 6\\18[/tex]

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

Simplify

1/2 + (3/8 - 1/8)^2

Answers

9/16

Decimal form - 0.5625

You welcome :)

solve for (x, y) elimination method. show your work

2x + y = 5
x - y = 1

Answers

Answer:

x=2

y=1

(i guess)

hope it helps

Gasoline is pumped at rate of 3 gallons per minute into a container that already has 4 gallons inside

Answers

Answer:

1 1/3 minutes

Step-by-step explanation:

Gasoline is pumped at rate of 3 gallons per minute into a container that already has 4 gallons inside

From the above question, we are to calculate the time at which the gasoline is pumped into the container

Hence:

Time = Number of gallons/Rate

Number of gallons = 4

Rate = 3 gallons per minutes

Hence:

Time = 4 gallons/3 gallon per minutes

Time = 1 1/3 minutes

The time at which the gasoline is pumped into the container is 1 1/3 minutes

What’s the answer
Answer choices are :
A ) 26
B ) 28.8
C ) 43.2
D ) 144

Answers

Answer:144

Step-by-step explanation:

144 is the answer to the problem nod a or b or c jjusst D

. An amusement park bought some arcade games that cost $2,000 each and photo booths that cost $3,200 each. A total of 22 of both types of machines were bought, for $53,600. How many arcade game machines did the park buy ?

Answers

Answer:

14 arcade games and 8 photobooths were purchased

Step-by-step explanation:

x will represent the number of arcade games

y will represent the number of photobooths

We know that 22 total machines were bought which means that x+y=22

We also know that the total was 53600 which means that 2000x+3200y=53600

We can use substitution to solve this

x+y=22

x-22= -y

-x+22=y

Then plug this in for y in the next equation

2000x+3200(-x+22)=53600

Solve this and get x=14

Then plug in x=14 into any equation (I will choose the x+y one because that's easiest to solve)

14+y=22

this means y=8

This means that 14 arcade games and 8 photobooths were purchased

I double checked the math on desmos and it is correct

please help me please will give brainliest to anyone who is good


show your work ​

Answers

Answer:

A

Image attached

Mark Brainliest Please

can someone help me?

Answers

Use math Microsoft app it will help you
Use photo math it hell

A person can pay $42 for a membership to the art museum and then go to the museum for just $4 per visit. What is the maximum number of visits a member of the art museum can make for a total cost of $90 ?​

Answers

Answer:

The member of the art museum can visit 22 times

Step-by-step explanation:

What is -22.74 - (18.18) ?

Answers

Answer: -40.92

i used the calculator :)

Which expression is modeled on the number line

Answers

Answer:

D

Step-by-step explanation:

if you were to chose c you would find that to negatives make a positive and the first negative has to be there so d would be the best possible answer

the first person is wrong:( the answer is c !!!


Which equation best represents the relationship
between x and y in the graph?
A. y = x + 2
C. y = 2x + 2
B. y = 2x - 2
D. y = Vzx - 2

Answers

Answer:

C y= 2x +2

Step-by-step explanation:

Look at the graph and look at the dots. For example if you look at negative 1 on the x-axis there is a dot there. so it now you count up to where you see the next dot on the y-axis. Which it goes up 2, then count to the right towards the Y-Axis which is one. now you left with 2/1. since it is going up 2 it will be positive and 2 over 1 is simplified so you are left with 2x and the B will be 2 because the line goes through 2 on the y-axis. This equation should help you y=mx+b m is the slope and B is the y axis

what is this??? 28÷7×4=?

Answers

Answer: 16

Step-by-step explanation: 28÷7=4

                                             4×4   = 16

is it a linear function or exponential function

Answers

The values in the table is linear function

Answer:

Linear Function

Step-by-step explanation:

It is constant, so linear

Select all expressions that are equivalent to 3 x 5 − 6 x 4 y + 3 x 3 y 2 . A. 3 x 3 ( x − y ) 2 B. 3 x 3 ( x 2 − 2 x y + y 2 ) C. 3 x 3 ( x + y ) 2 D. 3 x 3 ( x − y ) ( x + y ) E. 3 x 3 ( x − y ) ( x − y )

Answers

Answer:

B

Step-by-step explanation:

Factorizing 3x^5−6x4y+3x^2y^2

[tex]= (3x\left(x^4-8y+xy^2\right)[/tex]

=

[tex]3x^3 ( x^2-2 x y + y^2 )[/tex]

Answer:

B

Step-by-step explanation:

A car with a mass of 1000 kg crashes into a wall. The acceleration before the crash was 5 m/s2. What is the force

Answers

Answer: 10m/8

Step-by-step explanation: 5 ( m/s) *2= 10/8

Pls help meeeeeeeeeee

Answers

Answer: 0.56

Step-by-step explanation:

Given: Probability that Avacia tree grow small = 0.2

⇒Probability that Avacia tree grow large = 1-0.2=0.8 [Total probability =1]

Probability that Birch tree grow small = 0.4

⇒ Probability that Birch tree grow large= 1-0.4 = 0.6

The probability that both trees will grow to the same size = P(Both large)+P(Both small)

= 0.2 x 0.4 + 0.8  x 0.6   [Events are independent]

= 0.08+0.48

=0.56

Hence, the probability that both trees will grow to the same size = 0.56

I need help with this ASAP so could you please help me

Answers

Answer:

The area of a triangle is: A = 23.2 cm²

Step-by-step explanation:

Given

a = 10 cm

b = 9 cm

The angle ∠C = 31°

To determine

Area of the triangle

Using the formula to determine the area of the triangle

Area = 1/2bc sin C

substituting a = 10, b = 9, and m∠C = 31°

Area = 1/2 × 9 × 10 × sin 31°

Area = 1/2(90) sin 31°

Area = 45 × sin 31°

Area = 23.2 cm²

Therefore, the area of a triangle is: A = 23.2 cm²

The rope that can fence out the square garden of length 250m can fence another circular garden twice. What is the area and perimeter of the circular garden?
(Wrong answers will be reported)

Answers

Answer:

Perimeter of circular garden=500m

Area=19,894 sq m

Step-by-step explanation:

250x4=1000

1000/2=500m circle perimeter

Pi x Dia=Circumference

3.14159 x Dia=500m

Dia=159.16m

Rad=159.16/2=79.58m

Area=Pi x Rad^2=2.14159 x 79.58^2=19,894 m^2

Answer: The circumference of the circular garden is 500 meters.

The area is approximately 19891 square meters.

If you use a Rounded value of 80m for the radius, the Area works out to about 20106 square meters.

Step-by-step explanation:

The total length of the rope is 1000m. 4×250=1000

That is enough to fence the circular garden twice, so the "perimeter" of that garden-- the circumference-- is 500m

To find the area, first find the diameter:

500÷π = 159.15

Area of a circle is A=πr²

The radius is half the diameter.

79.57 so r² is about 6331.4

Multiply by π to get the area:

about 19890.6 m²

Information For The Question:

Maya makes trail mix by combining 1\4 cup of mixed nuts, 1\3 cup of dried fruit, and 1\6 cup of chocolate morsels.

Question:

What is the total amount of ingredients in her trail mix using 12 as the Denominator?

Answers

Answer:

3/4

Step-by-step explanation:

1/3 + 1/4 + 1/6=3/4 of a cup-total amount of ingredients in her trail mix.

 

Simplify the following:

1/3+1/4+1/6

Put 1/3+1/4+1/6 over the common denominator 12. 1/3+1/4+1/6  =  4/12+3/12+2/12:

4/12+3/12+2/12

4/12+3/12+2/12  =  (4+3+2)/12:

(4+3+2)/12

4+3+2 = 9:

9/12

The gcd of 9 and 12 is 3, so 9/12 = (3×3)/(3×4) = 3/3×3/4 = 3/4:

A pole that is 3.4 m tall casts a shadow that is 1.01 m long At the same time, a nearby tower casts a shadow that is 49.75 m long . How tall is the tower? Round your answer to the nearest meter.?

Answers

Answer:

167 meters

Step-by-step explanation:

3.4 divided by 1.01 is 3.3663

3.3663 x 49.75= 167.4752475 or 167

Is the perimeter of an equilateral triangle proportional to the side length of the triangle? For any regular polygon, is
the perimeter of the polygon proportional to the side length of the polygon? Explain your reasoning.

Answers

× I hope it will help you and please follow me and thanks me and mark me as brainlist

At the start of the napkin aisle, you see
a list of the different package options,
shown in the table below.
Are the price of napkins and the
number of napkins in each package
proportional to each other? Why or
why not?

Answers

Answer:

D

Step-by-step explanation:

Proportional mean the same but 100 napkins is cheaper then 50 so it is not proportional

Answer:

The answer is D.

No, the ration found by dividing the price of napkins by the number of napkins is not the same for each pack.

Step-by-step explanation:

The prices and the number of napkins in each package are not proportional to each  other because they all not equal to each other when the number of napkins is divided by the price

Hope this helps!!! :)

BRAINLIEST PLEASE

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