I need to answer and explain number 27.

I Need To Answer And Explain Number 27.

Answers

Answer 1

Answer:

y = 9x - 5

Step-by-step explanation:

Any line parallel to the given line y = 9x must also have the slope 9.

Substitute the known values (m = 9, h = 0, k = -5) into the point-slope equation of a straight line:

y - (-5) = 9(x - 0)

Then y + 5 = 9x, or

         y = 9x - 5


Related Questions

James had $240 more than his brother,Sam,at first.After their mother gave James $30 and Sam $50,James had twice as much money as Sam.How much money did Sam have at first?​

Answers

Sam had 85$

James has 240+30=270 then 270/2 is 135

And because mom gave 50$ to sam subtract 50 135-50= 85 so sam had at first 85$

Final answer:

Sam had $170 at first given all the conditions.

Explanation:

Let's assume Sam had x dollars at first. Since James had $240 more than Sam at first, this means James had x + $240. After their mother gave James $30 and Sam $50, James had x + $240 + $30 and Sam had x + $50. We are told that after receiving the money, James had twice as much as Sam, which can be represented by the equation 2(x + $50) = x + $270. Solving for x, we get x + $100 = x + $270.

Subtracting x from both sides of the equation, we have $100 = $270, which is not possible, indicating a mistake has been made. We should redefine our equation as 2(x + $50) = (x + $240) + $30. Solving this correct equation, we get 2x + $100 = x + $270. Subtracting x and $100 from both sides, we find that x = $170. Therefore, Sam had $170 at first.

A shipping container in the shape of a rectangular prism is 60 ft long, 45 1/3 ft wide, and 14 ft tall. what is the volume of the container?

Answers

Answer: 38080 feet cubed

Step-by-step process:

60ft × 45 1/3ft = 2720ft squared

2720ft squared × 14ft = 38080 feet cubed

how many different pairs can you make with four colors: red, blue, green purple?

Answers

Answer:

6

Step-by-step explanation:

            red                blue               green           purple

red                           red/blue        red/green   red/purple

blue     red/blue                           blue/green  blue/purple

green   red/green   blue/green                       green/purple

purple  red/ purple  purple blue purple/green

i did not include red/red since the question asks for DIFFERENT PAIRS. same with the combinations that are repeated

plz give me a brainliesttttttt

To find the number of different pairs that can be made with four colors, we use the combinations formula C(4, 2), which calculates to 6. Thus, there are 6 different color pairs that can be made with red, blue, green, and purple.

To determine how many different pairs can be made with four colors: red, blue, green, purple, we use the concept of combinations from mathematics. A combination is a selection of items where the order does not matter. In this case, we are selecting two colors from the four available to form a pair.

To calculate the number of combinations without repetition, we can use the combination formula which is [tex]C(n, k) = \frac{n! }{ (k!(n - k)!)}[/tex], where n is the total number of items to choose from, k is the number of items to choose, and '!' represents the factorial of a number. For this scenario, n = 4 (four colors) and k = 2 (since we are forming pairs).

So, the number of combinations is C(4, 2) = [tex]\frac{4! }{2!(4 - 2)!} = \frac{4 \times 3 \times 2 \times 1 }{ 2 \times 1 \times 2 \times 1}[/tex] = 6. Therefore, there are 6 different color pairs that can be made with the colors red, blue, green, and purple.

Which of the following numbers is irrational?​

Answers

Answer:

it is the 3rd choice

Step-by-step explanation:

3

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An irrational number cannot be written in the form of a fraction.

As you can see, the first two are already in fraction form, so it can't be those.

The square root of 4 is 2 which can be written as 2/1

This leaves the square root of 3, which is the answer.

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

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If the telescope is 1 m deep and 20 m wide, how far is the focus from the vertex?
1 m

25 m

100 m

5 m

Answers

Answer:

25

Step-by-step explanation:

The focus is from the vertex is 5m.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The distance from the vertex of a parabolic surface to its focus depends on the shape of the parabola, and specifically on its focal length.

The focal length of a parabolic surface is given by the equation:

f = d²/ (16w)

where f is the focal length, d is the depth of the parabolic surface, and w is the width of the parabolic surface.

Plugging in the given values, we get:

f = 1² / (16 x20)

= 1/320 km

To convert this distance to meters, we multiply by 1000:

f = 1/320 x 1000 = 3.125 meters

Therefore, the focus is from the vertex is 5m.

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help me please, match the number to the letter​

Answers

Answer:  1b  2c  3e?  4d  5a

Step-by-step explanation:

There are 2 items that need to be checked.  

The midpoint of the coordinates is the center of the circleThe diameter of the coordinates is the diameter of the circle.

Midpoint:

[tex]Midpoint = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\1)\ \bigg(\dfrac{-4+2}{2},\dfrac{-1+10}{2}\bigg)=\bigg(\dfrac{-2}{2},\dfrac{9}{2}\bigg)=(-1, 4.5)\implies \text{equation b}\\\\\\2)\ \bigg(\dfrac{1+7}{2},\dfrac{3-10}{2}\bigg)=\bigg(\dfrac{8}{2},\dfrac{-7}{2}\bigg)=(4, -3.5)\implies \text{equation c}\\\\\\3)\ \bigg(\dfrac{4-8}{2},\dfrac{-2+6}{2}\bigg)=\bigg(\dfrac{-4}{2},\dfrac{4}{2}\bigg)=(-2,2 )\implies \text{none of the equations}[/tex]

[tex]4)\ \bigg(\dfrac{6-4}{2},\dfrac{3-13}{2}\bigg)=\bigg(\dfrac{2}{2},\dfrac{-10}{2}\bigg)=(1, -5)\implies \text{equation d}\\\\\\5)\ \bigg(\dfrac{7-1}{2},\dfrac{5+8}{2}\bigg)=\bigg(\dfrac{6}{2},\dfrac{13}{2}\bigg)=(3, 6.5)\implies \text{equation a}[/tex]

Diameter:

distance between coordinates = 2√r² (from circle equation)

[tex]\text{formula for coordinates is: }d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\1)\ \text{Coordinates: } d=\sqrt{(-4-2)^2+(-1-10)^2}=\sqrt{36+121}=12.5\\b)\ \text{Circle: }2\sqrt{39.25}=12.5\\\\\\2)\ \text{Coordinates: } d=\sqrt{(1-7)^2+(3+10)^2}=\sqrt{36+169}=14.3\\c)\ \text{Circle: }2\sqrt{51.25}=14.3\\\\\\4)\ \text{Coordinates: } d=\sqrt{(6+4)^2+(3+13)^2}=\sqrt{100+256}=18.9\\d)\ \text{Circle: }2\sqrt{89}=18.9[/tex]

[tex]5)\ \text{Coordinates: } d=\sqrt{(7+1)^2+(5-8)^2}=\sqrt{64+9}=8.5\\a)\ \text{Circle: }2\sqrt{18.25}=8.5[/tex]

Check:

Graph to confirm your answers are correct (see attached)

The measurement of the smallest angle in a right triangle is 45° less than the measure of the next larger angle. Find the measures of all three angles.​

Answers

Hey there!

The interior angles of a triangle always have to add up to 180 degrees.

We are told that this is a right triangle, so one of the angles must be 90 degrees. This means that the measures of the other two angles must add up to 90.

90 + m<1 + m<2 = 180

If the smallest angle is 45 degrees less than the next largest angle, the only option for this would be for both of the remaining angles to be 45 degrees. The next largest angle would be the right angle, and 90 -  45 = 45.

We can't have any of the other angles be more than 90 degrees because then it wouldn't be a proper triangle.

So, the measures of the angles are going to be 90, 45, and 45.

Hope this helps!

The measurement of the smallest angle in a right triangle is 45° less than the measure of the next larger angle. The three angle of right are ( [tex]90^o, 45^o, 45^o[/tex] )

What is right angle triangle property?

In a right angle triangle, the largest angle is equal to the 90 degrees, and the some of the other two angle is equal to the 90 degrees.

Given information-

The smallest angle in a right triangle is 45° less than the measure of the larger angle.

Suppose the smallest angle of the right triangle is x degrees.

Now as the smallest angle in a right triangle is 45° less than the measure of the larger angle and the value of largest angle is 90 degrees in the right angle triangle. Thus,

[tex]x=90-45\\x=45^o[/tex]

Hence, the measurement of the smallest angle is 45 degrees.

Let the other angle of the right angle triangle is y degrees.

As the some of the all the angles of a triangle is equal the 180 degrees. Thus,

[tex]x+y+90=180\\45+y=180-90\\y=90-45\\y=45[/tex]

Thus, the measurement of the other angle is 45 degrees.

Hence, the measurement of the smallest angle in a right triangle is 45° less than the measure of the next larger angle. The three angle of right are ( [tex]90^o, 45^o, 45^o[/tex] )

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Please help quickly, I don't understand.
Image attached

Answers

Answer:

ok so

Step-by-step explanation:

you basically hafta calulate funtion f w factor two

hope this helps!

What is the equation written in slope intercept

Answers

Answer:

[tex]\large\boxed{1.\ y=-\dfrac{3}{5}x+\dfrac{12}{5}}\\\boxed{2.\ y=\dfrac{5}{4}x-\dfrac{3}{2}}[/tex]

Step-by-step explanation:

The slope-intercept form:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

[tex]1.\\3x+5y=12\qquad\text{subtract 3x from both sides}\\\\5y=-3x+12\qquad\text{divide both sides by 5}\\\\\boxed{y=-\dfrac{3}{5}x+\dfrac{12}{5}}\\\\2.\\5x-4y=6\qquad\text{subtract 5x from both sides}\\\\-4y=-5x+6\qquad\text{divide both sides by (-4)}\\\\y=\dfrac{5}{4}x-\dfrac{6}{4}\\\\\boxed{y=\dfrac{5}{4}x-\dfrac{3}{2}}[/tex]

Wendy earned $14 per hour for x hours, plus a bonus of $50. Which expression represents how much Wendy earned

Answers

Answer:

W(x) = $50 + ($14/hr)x

Step-by-step explanation:

Let W(x) represent Wendy's earnings, and x the # of hours she worked.

Then W(x) = $50 + ($14/hr)x



If m > n, which inequalities must be true? Check all that apply.

m + 2.1 > n + 2.1

m - (-4) > n -(-4)

m + 3 > n - 3

16.5 + m > 16.5 + n

m > n + 1/2

9 + m > 6 + n
Will give a rank if can be answered in 5 min

Answers

Answer:

It's A B and D, the brainliest is incorrect.

Step-by-step explanation:

Final answer:

If m is greater than n, then all the provided inequalities must be true, as they involve either adding the same amount to both sides or increasing the positive difference between m and n.

Explanation:

If m > n, then certain inequalities must hold true when we add, subtract, or compare these variables while keeping the inequality relationship consistent. Here are the inequalities that must be true based on the given condition:

m + 2.1 > n + 2.1: Adding the same number to both sides of an inequality does not change the relationship, thus this inequality must be true.

m - (-4) > n -(-4): Subtracting a negative is the same as adding a positive, so this inequality will also hold true.

m + 3 > n - 3: Adding a positive number to m and a negative to n will increase the difference between them, making this inequality true.

16.5 + m > 16.5 + n: Similar to the first point, adding the same number to both sides of an inequality maintains the inequality.

m > n + 1/2: Since m is greater than n, adding a positive fraction to n would still keep m greater than the modified n.

9 + m  > 6 + n: Adding different numbers to m and n still preserves the inequality, if the number added to m is not smaller than the number added to n.

A bag contains 12 counters. 7 of them are white. A counter is taken at random and not replaced. A second counter is taken out of the bag at random. Calculate the probability that only one of the two counters is white​

Answers

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First calculate how many counters are 'not white'

12 - 7 = 5

We have 5 counters that are 'not white'

The probability of taking a white counter the first time is 7/12

For the next pick, there would be 1 less of the total counters as it is not being replaced

The probability of then taking a 'not white' counter is 5/11

The other way you could still get one white counter is:

The first counter (non white) probability would be 5/12

The second counter (white) probability would be 7/11

Multiply these values:

7/12 x 5/11 = 35/132

5/12 x 7/11 = 35/132

Add these two values together:

35/132 + 35/132 = 70/132

Your answer is 70/132

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

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hello !
comment apprendre sa leçon ?
thanks

Answers

ça dépend de comment tu apprend le mieux. Si tu ne sais pas, essaye de: (puis regarde ensuite laquelle a été la plus utile)

- Faire des résumés de cous écrits

- Enregistrer ton cours puis l'écouter

- Faire des schémas si possible

- Réciter ton cours ou le lire à voix haute.

Si c'est pour la physique chimie que tu parles, déjà il faut d'abord comprendre c'est le plus important par exemple a chaque bilan que tu as noté tu prends une feuille et tu marque ce que tu as compris et ce que tu n'as pas compris ensuite si tu n'arrives pas trop tu peux regarder des vidéos pour t'expliquer et une fois que tu as tout compris tu récites.

Pour l'oral il te faut:

- avoir une bonne prononciation- intonation.

- si c'est un dialogue

le connaître par coeur et bien le jouer.

Je pense qu'il faut que tu t'entraine faire attention a la ponctuation ne pas oublier les majuscules et l'alinéa au début souvent et ne pas oublier les accords et fais attention au exceptions puis a la fin RELIE TOI c'est important pour savoir si ta pas fais d'erreur ou encore oublié des mots puis concentre toi pour éviter des fautes bêtes et revoie les règles éventuelles que tu as déjà vu  

Réviser à l'avane, et revoir tous les soirs.

- Pareil, la réviser tous les soirs, à force, elle rentre dans le crane

- Décrire d'abord ce qu'on voit en 1er, puis les détails, et surtout, tout expliquer

- Je n'ai pas trop compris ta dernière question, mais je suppose que tu parles du vocabulaire .  Il faut apprendre ceux que tu as écris sur ton cahier, et ceux de ton manuel .

 

Je te conseille de faire des fiche (les britol), avec des couleurs tout ça, ça permet de mieux apprendre . ;)

Essaye de réssiter l'essentiel à l'écrit, c'est trè efficace .

To learn effectively, prepare your materials, actively engage with the content, understand underlying concepts, use visual aids, practice, teach others, manage time, review regularly, stay organized, maintain a healthy lifestyle, and adopt a positive mindset.

Learning your lesson effectively requires a structured and proactive approach. Here's how to do it:

1. Preparation: Begin by organizing your study materials, ensuring you have access to textbooks, notes, and any necessary resources. Find a quiet and comfortable study environment that minimizes distractions.

2. Active Engagement: Avoid passive reading or rote memorization. Instead, actively engage with the material. Summarize key points in your own words, ask questions, and create flashcards or mind maps to aid comprehension.

3. Conceptual Understanding: Strive to understand the underlying concepts rather than just memorizing facts. If you can explain a concept to someone else, it's a sign you've grasped it.

4. Visual Aids: Utilize visual aids like diagrams, charts, and graphs to help visualize complex information and enhance understanding.

5. Practice and Application: For subjects like math or science, practice problems and exercises are essential. Repetition and application help reinforce learning.

6. Teaching Others: Teaching someone else what you've learned can solidify your own understanding and highlight areas where you may need further clarification.

7. Effective Time Management: Allocate specific time slots for studying, and take regular breaks to maintain focus. Short, concentrated study sessions are often more productive than lengthy, distracted ones.

8. Regular Review: Periodically review what you've learned to reinforce your memory. Self-quizzing and practice tests are effective tools for self-assessment.

9. Stay Organized: Keep your study materials and notes well-organized. A clutter-free study space promotes concentration and efficiency.

10. Healthy Lifestyle: Prioritize a healthy lifestyle, which includes getting enough sleep, maintaining a balanced diet, and staying hydrated. Physical and mental well-being are vital for effective learning.

11. Positive Mindset: Maintain a positive attitude. If you encounter challenges, view them as opportunities for growth. Seek assistance when needed and stay persistent.

Remember, different individuals have different learning styles. Experiment with various methods to discover what works best for you. Consistency and dedication are essential for successful learning.

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The probable question may be:

Comment on how to learn your lesson?

How many groups of 5 can u make out of 670

Answers

Answer:

134

Step-by-step explanation:

670/5 = 134

The answer is 130=5*130

Write an expression that is equal to 3x 2 1/4

Answers

there you go .............

Final answer:

The expression that includes 3x and ¼ should be written as 3x + ¼. Also, it's important to note that in math, an equality like 1 yard equals 3 feet can be manipulated by multiplication or division and will still remain true.

Explanation:

It seems there's a typo in the expression you've provided (3x 2 1/4). However, if you are looking for how to express the quantity 3x plus ¼, then the expression would be written as 3x + ¼. This expression shows the addition of the fraction ¼ to the variable 3x.

Regarding the references provided about exact numbers and equalities, in mathematics, we can use this information to solve various problems that involve proportions or unit conversions. For example, knowing that 1 yard equals 3 feet is an exact number equality that can be used in many calculations. You can adjust this equality by multiplication or division, and it will still hold true. Thus, if you divide both sides by 2, you would get ½ yard equals 1½ feet, which is still a true statement.

(20pts) Pls I need help with my hw​, pls show work

Answers

4. Just look at the graph, and see which coordinates are on the line.

D, E, and F are on the line.

5. The y-coordinate is (0,4), and the slope is (4 + 8)/(0 - 4) = -3. Therefore, the equation of the line is y = -3x + 4. Plugging in the numbers we know gives us b = -3*8 + 4. b = -20.

6. Find the number of times P is on a line. There are two lines that do so.

Hailey and Kacie are selling candles to raise money. • Hailey is selling candles for $4 each and has already raised $160. • Kacie is selling candles for $7 each and has already raised $70. Which equation can be used to find c, the number of candles each girl needs to sell so that the total amount raised is the same for both Hailey and Kacie?

Answers

The correct option is B.

The equation is B. 4c + 70 = 7c + 160, where c represents the number of candles sold by each girl.

To find the equation representing the scenario where both Hailey and Kacie have raised the same amount of money by selling candles, we can set up an equation based on the total amount raised by each girl.

Let's represent:

- Hailey's total amount raised as H

- Kacie's total amount raised as K

- The number of candles each girl sells as c

Given:

- Hailey's total amount raised, H = $160

- Kacie's total amount raised, K = $70

The equation representing the scenario where both Hailey and Kacie have raised the same amount of money by selling candles is:

4c (Hailey's selling price per candle) = 7c (Kacie's selling price per candle)

So, we have:

4c = 7c

To solve for c, we need to make the total amounts equal on both sides. We already have the total amounts raised by each girl:

Total amount raised by Hailey = $160

Total amount raised by Kacie = $70

Now, let's set up the equation:

4c (for Hailey) = 7c (for Kacie)

4c - 7c = 160 - 70

-3c = 90

Now, divide both sides by -3 to solve for c:

c = -90 / -3

c = 30

So, each girl needs to sell 30 candles to raise the same amount of money.

Therefore, the correct equation representing the scenario is:

B. 4c + 70 = 7c + 160

The complete question is here:

Hailey and Kacie are selling candles to raise money.

• Hailey is selling candles for $4 each and has already raised $160.

• Kacie is selling candles for $7 each and has already raised $70

Which equation can be used to find c, the number of candles each girl needs to sell so that the total amount raised is the same for both Hailey and Kacie?

A. 4c+7c=160+70

B. 4c+70=7c+160

C. 4c+160=7c+70

D. 4+160=7c+70c

What is the capital of Nepal?​

Answers

ANSWER:

the capital of Nepal is Kathmandu.

~batmans wife dun dun dun...aka ~serenitybella

Hello, thanks for using Brainly.

The capital of Nepal is Kathmandu.  

If that value of x in the above diagram equals 26

Answers

Please put the picture so I can answer the question

Area of regular hexagon

Answers

Check the picture below.

let's recall that a circle has 360°, so that means every two radii coming from the center of the hexagon, will split those 360° in 6 even pieces, 360/6 = 60, namely those two radii make up a 60° central angle, as you see in the picture.

running a perpendicular from the center, we end up with a 30-60-90 triangle, as you see there, and thus we can use the 30-60-90 rule to get the length of "a".

now, keeping in mind that the perimeter of the polygon is simply 4+4+4+4+4+4 = 24.

[tex]\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}dp~~ \begin{cases} d=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ d=2\sqrt{3}\\ p=24 \end{cases}\implies A=\cfrac{1}{2}(2\sqrt{3})(24)\implies A=24\sqrt{3}[/tex]

A recipe calls for 3/4 cup of sugar for every 1 1/2 cups of flour. How much sugar would be needed if the baker uses 4 1/2 cups of flour?

Answers

Answer:

Step-by-step explanation:

counting backwards from 5, what number is 4?

Answers

Answer:

The number 4 is the first term of the sequence

Step-by-step explanation:

we know that

Counting backwards is when the numbers are count in reverse sequence

Is also know as 1 less

In this problem the sequence of counting backwards from 5 is equal to

4,3,2,1,0

therefore

The number 4 is the first term of the sequence

if a number is increased by 100%, how does the increased number compare with the original number? explain​

Answers

Through common sense a number is already at it’s 100%. And so by increasing The percentage of the number you are also increasing the number itself.

For example take the number 10. If you increase it by 20% you'll take 2 out of 10 and add it to original number which will result in 12, 20% more or 120% in total. And so if you apply the same situation but with a hundred percent, you will double the number and get a number of 20 or 200%. An increase of a 100% plus the original 100%. If this doesn't make sense however, I'm sorry as my "explaining" skills suck

math help 20 points and brainliest
find the roots, and list the steps correctly
you need to show work and list the steps please
f(n)=n^2 -6n-16

Answers

ANSWER

[tex]n = 8 \: or \: n = - 2[/tex]

EXPLANATION

The given function is

[tex]f(n) = {n}^{2} - 6n - 16[/tex]

To find roots of the equation, we set the equation to zero.

[tex]{n}^{2} - 8n + 2n- 16 = 0[/tex]

Split the middle term with -8n+2n

We now factor to get,

[tex]n(n - 8) + 2(n- 8) = 0[/tex]

[tex](n - 8)(n + 2) = 0[/tex]

Using the zero product property,

[tex]n - 8 = 0 \: or \: n + 2 = 0[/tex]

[tex]n = 8 \: or \: n = - 2[/tex]

All rectangles are parallelograms​

Answers

This is true. A rectangle is a quadrilateral with 4 right angles, meaning each pair of adjacent sides meet at a right angle. From the father of geometry himself:

“If a line segment intersects two straight lines forming two interior angles on the same side that sum to less than two right angles, then the two lines, if extended indefinitely, meet on that side on which the angles sum to less than two right angles.”

The other side to this, of course, is that if you have a line segment intersecting two straight lines, and you *do* get two interior right angles, those straight lines will never meet, which is exactly what it means to be parallel. If you pick any three line segments on a rectangle, you get exactly this behavior, meaning each pair of line segments on a rectangle is parallel.

So yes, a rectangle *is* a parallelogram.

Find the product in simplest form 8/21 * 5/16

Answers

Just multiply across which is

8*5 = 40

21*16 = 336

40/336 = 5/42

This is correct answer

I hope this answer helped you!!! Thank you!!!

The product of the given expression will be 5/42.

What is product?

A product in maths defined as the result of two or more numbers when multiplied together.

Given that, 8/21 * 5/16

8*5 = 40

21*16 = 336

40/336 = 5/42

Hence, The product of the given expression will be 5/42.

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Solve the system of linear equations by elimination.

4x+3y= -5
-x+3y= -10

Answers


[tex]4x + 3y = - 5 \\ x - 3y = 10 \\ \\ 5x = 5 \\ x = 1 \\ \\ 4 + 3y = - 5 \\ \: \: 3y = - 9 \\ y = - 3 \\ \\ (1 \: - 3)[/tex]

The solution of given system of linear equations are x = 1 and y = -3.

Given system of linear equations are,

                                       [tex]4x+3y=-5 ..........(1)\\\\ -x+3y=-10..............(2)[/tex]

Subtract equation 2 from equation 1.

            [tex]4x+3y-(-x+3y)=-5+10\\ \\ 4x+3y+x-3y=5\\ \\ 5x=5\\ \\ x=5/5=1[/tex]

Substituting value of x in equation 1.

          [tex]4(1)+3y=-5\\ \\ 3y=-5-4=-9\\ \\ y=-9/3=-3[/tex]

Hence, The solution of given system of linear equations are x = 1 and y = -3.

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The sum of two numbers is 44. One number is 2 more than twice the other. Write a system of equations that defines this situation and solve using any method.

Answers

Answer:

20 + 24 = 44

Hoped this helped :)

The equations are x + y = 44 and y = 2x + 2. Then the value of the two numbers is 14 and 30.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The sum of the two numbers is 44. One number is 2 more than twice the other.

Let the two numbers be 'x', 'y' and y > x. Then we have

x + y = 44             ...1

y = 2x + 2            ...2

From equations 1 and 2, then we have

x + 2x + 2 = 44

3x = 42

x = 14

Then the value of 'y' is calculated as,

y = 2 (14) + 2

y = 28 + 2

y = 30

The equations are x + y = 44 and y = 2x + 2. Then the value of the two numbers is 14 and 30.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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What happens to the graph of y=|x| when the equation changes to y=|x+3| - 1

Answers

The entire line will go three to the left and one down.

Solve the system of linear equations below. x − 3y = -3 x + 3y = 9 A. x = -12, y = 7 B. x = 3, y = 2 C. x = 6, y = 1 D. x = 6, y = 2

Answers

ANSWER

B. x=3,y=2

EXPLANATION

The given equations are

[tex]x - 3y = - 3...(1)[/tex]

and

[tex]x + 3y = 9...(2)[/tex]

We add the two equations to eliminate y.

This implies that that:

[tex] x + x - 3y + 3y = 9 + - 3[/tex]

Simplify:

[tex]2x = 6[/tex]

Divide both sides by 2.

[tex]x = 3[/tex]

We put x=3 into any of the equations to find y.

Let us substitute x=3 into equation (1) to get:

[tex]3 - 3y = - 3[/tex]

[tex] - 3y = - 3 - 3[/tex]

[tex] - 3y = - 6[/tex]

Divide both sides by -3 to get;

[tex]y = 2[/tex]

The solution is therefore x=,y=2.

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