What side lengths form a right triangle ?

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.

Answer:

73.5

Step-by-step explanation:

To find the mean, sum the data and divide by the amount of data

mean = [tex]\frac{77+82+87+85+32+78}{6}[/tex]

          = [tex]\frac{441}{6}[/tex] = 73.5

The answer is 73.5. Just add all the numbers and divided by how many numbers there are. So you would add all the numbers and then divided by 6 since there are 6 numbers.

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] )

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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➷ 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 ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

it is the 3rd choice

Step-by-step explanation:

3

➷ 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 ^-^

↬ ʜᴀɴɴᴀʜ ♡

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.

Answer:

Final answer is 1/3.

Step-by-step explanation:

Given that Mrs Jenkins picked some tomatoes from her garden. She used 5/9 of the tomatoes to make pasta sauce. Then she used 3/4 of the remainder to make a salad. Now we need to find about what fraction of the tomatoes did Mrs Jenkins use to make the salad.

Since she used 5/9 of the tomatoes to make pasta sauce.

Then remaining amount of tomatoes = 1- 5/9 = 9/9 -5/9 = 4/9

Then she used 3/4 of the remainder to make a salad. So fraction of the tomatoes did Mrs Jenkins use to make the salad = (4/9)(3/4)=12/36=1/3

Hence final answer is 1/3.

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?

Answer:

134

Step-by-step explanation:

670/5 = 134

The answer is 130=5*130

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

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]

Answer:  1b  2c  3e?  4d  5a

Step-by-step explanation:

There are 2 items that need to be checked.  

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)

Answer:

10:00 AM

Step-by-step explanation:

Frank drove at a speed of 50 mph, and traveled a distance of 150 miles.  This means he traveled for

150/50 = 3 hours.

7 AM + 3 hours = 10 AM

The solution is, at 10:00 AM Frank will arrive at the airport.

Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

here, we have,

given that,

Frank left his house at 7 a.m. and drove to the airport at a speed of 50 mph.

Lance left his house at 6 a.m. and drove to the same airport at a speed of 55 mph.

Frank's house is 150 miles from the airport and Lance's house is 220 miles from the airport.

so, we get,

Frank drove at a speed of 50 mph,

and traveled a distance of 150 miles.  This means he traveled for

150/50 = 3 hours.

Thus, it takes Frank 3 hours to reach the airport.

so, we get,

since he departed at 7:00 AM, he will arrive at the airport at

7 AM + 3 hours = 10 AM

Hence, The solution is, at 10:00 AM Frank will arrive at the airport.

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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.  

Please put the picture so I can answer the question

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.

Answer:

ok so

Step-by-step explanation:

you basically hafta calulate funtion f w factor two

hope this helps!

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.

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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Answer:

25

Step-by-step explanation:

The focus is from the vertex is 5m.

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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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.

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]

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

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.

Answer:

Step-by-step explanation:

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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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]

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.