Hay dos números naturales consecutivos y la suma del cuadrado de esos números es 221¿cuáles serán esos números?

Answers

Answer 1
Let x and x+1 be the consecutive integers.

The sum of squares is:
(x)² + (x+1)² = 221
Expand second term:
x² + x² + 2x + 1 = 221
Combine like terms:
2x² + 2x + 1 = 221
Subtract 221 from both sides to make quadratic form:
2x² + 2x - 220 = 0
Divide both sides by 2:
x² + x - 110 = 0
Factor:
(x + 11)(x - 10) = 0
x = -11 or x = 10

Answers: 10 and 11 or -10 and -11

Related Questions

Ms. Howard wrote a test. Part A had true/false questions, each worth points. Part B had multiple choice questions, each worth points. She made the number of points for Part A equal the number of points for Part B. It was the least number of points for which this was possible.

Answers

Full question attached

Answer and explanation:

Since x = number of true or false questions correct

And y = number of multiple choice questions correct

And each question for x =2 points

each question for y=3 points

since she then needs a total score of more than 93 to pass, we add up total correct questions and

Inequality equation = 2x +3y >93

A cube with 4 faces has a length of 4.5cm.find the total surface area​

Answers

Answer:

81 cm square

Step-by-step explanation:

the answer is 121.5cm^2

If 4 pounds of bologna cost $5.04, how much will it cost
per pound?

Answers

Divide $5.04 by 4 to get the solution $1.26/pound

Answer:

$1.26

Step-by-step explanation:

To get the cost of one pound you need to divide the cost of 4 pounds by 4.

5.04/4=1.26

$1.26 per pound.

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

1. x= 17

2. x= 31

3. x= 4

4. x= 40

Step-by-step explanation:

first one:

you pass the 10 dividing

x-7 = 100/10  ----> x-7 =10

Pass the 7 adding

x = 10+7 ---> x= 17

second one:

Pass the 7 multiplying

x+11= 6*7 ---> x+11= 42

Pass the 11 in substraction

x = 42-11  ----> x =31

third one:

Add the 3+8 = 11

Pass the 11 dividing

x*11 = 44 -----> x= 44/11 ---> x= 4

fourth one:

Rest the 8-4 = 4

Pass the 4 multiplying

x/ 4 = 10 -----> x = 4*10 ---> x= 40

i will mark you as brainliest please help!!

Answers

Answer:

i think its the one on the right

Step-by-step explanation:

There are 15 clowns in a circus. Each clown has to act either happy or sad. Twelve of the clowns have red noses. Each of the seven happy clowns has a red nose. Five of the sad clowns have red noses. How many clowns have to act sad and do not have a red nose?

Answers

Answer:

3

Step-by-step explanation:

Each of the seven happy clowns has a red nose.

This means there are (15-7) 8 sad clowns.

Five of the sad clowns have red noses.

This means out of 8 sad clowns, 5 have red noses. So the clowns that have to act sad and have red noses are (8-5) 3.

what is the mathematical sentence of "the length of wooden frame is 1foot longer than it's width and it's area is equal to 12ft²" can you translate it into quadratic equation in terms of "x"?

Answers

Answer:

x²+x+12 = 0

Step-by-step explanation:

Area if the wooden frame = ,Length ×Width

A = LW

If the length of wooden frame is 1foot longer than it's width, then;

L = W+1

Given

A = 12ft²

Substitute the derived and given parameters into the formula to have;

P = (W+1)W

12 = (W+1)W

Open the parentheses

12 = W²+W

Subtract 12 from both sides

12-12 = W²+W -12

0 = W²+W-12

Rearrange

W²+W-12 = 0

If W = x

The quadratic equation becomes:

x²+x+12 = 0

HELP I DONT HAVE MUCH TIME

Answers

Answer:

10 miles, 6 inches

Step-by-step explanation:

2.5 x 10

15/2.5

are the terms 2x^3 and 2yx^2 like terms

Answers

No. If you organize them into: 2x^3 and 2xy^2, you see they look like they have the same base but they don’t have the same exponents nor the variables.
No it is not because it has an extra letter. That makes them not like terms 2x and 4x would be like terms. But when you add the next letter, it makes them unalike.

Which of the equations is graphed below?

A.) Y=X
B.) Y=2X
C.) Y=-2X
D.) Y=-X​

Answers

Answer:

y = -x

Step-by-step explanation:

it is negative slope so -x

If the m∠A is less than 90°, then ∠A is an acute angle. M∠A=75° . What can you logically conclude using the Law of Detachment? ∠A is acute. ∠A is acute. ∠A is right. ∠A is right. ∠A is obtuse. ∠A is obtuse. Not enough information. Not enough information.

Answers

Answer:

∠A is acute. ∠A is acute.

Step-by-step explanation:

Given that

m∠A is lower than 90°

So, it is an acute angle

And, M∠A=75°

The acute angle is the angle that measures between 0 degrees and 90 degrees on the other case the obtuse angle should be more than 90 degrees till 180 degrees

So as per the law of detachment the first option is correct and the same is to be considered

How did Washington react to failure?

Answers

He wouldn’t respond to the public
Didn’t respond to public about any of his matters

At 7:00 P.M. the temperature was 0°F By midnight, it had dropped 15 degrees. What was the temperature at mid- night?​

Answers

Answer:

The temparature was -15 degrees f.

Step-by-step explanation:

the temperature at night night was -15 degrees

if you move point toward point B along BC how does m_ABC change? How do mZBAC and mZACB change? What happens to these
angles if you move point C away from point B along BC?

Answers

Answer:

i think its abc stays same, bac gets smaller, and acb gets bigger

for the second part, abc same, bac bigger, acb smaller

Step-by-step explanation:

if you picture the triangle in your head that probably would help

If we take point C closer towards point B, then  ∠ABC will remain the same, the measurement of ∠BAC will decrease, and the measurement of ∠ACB will increase. Similarly, If we take point C far from point B, ∠ABC will remain the same, the measurement of ∠BAC will increase, and the measurement of ∠ACB will decrease.

What is an angle?

Angle is formed by two lines or rays which have a common endpoint. Angle has two sides.

Here Given in the question that Point C is movable and it moves towards point B.

If we change the position of C nearer to point B keeping points B and A fixed in angle ∠ABC the side BC length will decrease but the gap between AB and BC will remain the same.  Therefore ∠ABC will remain the same.

If we change the position of C nearer to point B keeping point B and A fixed in angle ∠BAC, point C will get closer to point B for which the gap between AB and AC will decrease. Therefore the measurement of ∠BAC will decrease.

If we change the position of C nearer to point B keeping points B and A fixed in angle ∠ACB, point C will get far from point A as point A is fixed for which the gap between AC and CB will increase. Therefore the measurement of ∠ACB will increase.

Therefore if we take point C closer towards point B, then  ∠ABC will remain the same, the measurement of ∠BAC will decrease, and the measurement of ∠ACB will increase.

If we take point C far from point B, then the thing will be reversed except ∠ABC.

Therefore If we take point C far from point B, ∠ABC will remain the same, the measurement of ∠BAC will increase, and the measurement of ∠ACB will decrease.

Learn more about the angle

here: https://brainly.com/question/788198

#SPJ2

A hot air balloon was flying at an altitude of 300 meters when the pilot decided to land by descending at a rate of 2 meters per second. For which of these rules does y represent the altitude of the hot air balloon, if x represents the number of seconds since the pilot started her landing?

Answers

Answer:

The answer is "150 seconds".

Step-by-step explanation:

[tex]\to distance = 300 \ meter\\\\\to speed = 2 \ \frac{m}{s} \\\\\ formula: \\\\ \bold{speed = \frac{distance}{time}}\\\\[/tex]

[tex]time= \frac{distance}{speed}\\\\[/tex]

        [tex]=\frac{300}{2}\\\\=150 \ seconds[/tex]

Write an integer to represent the following situation:A loss of 20 yards

Answers

Answer:

wth is your pfp lol I'm sory

The correct integers to represent the situation ''A loss of 20 yards'' is,

⇒ - 20

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

The situation is,

⇒ A loss of 20 yards.

Since, Here A loss of 20 yards.

Hence, It represented by the integer '- 20' because of loss.

Thus, The correct integers to represent the situation is,

⇒ - 20

Learn more about the subtraction visit:

https://brainly.com/question/17301989

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standard form help me​

Answers

The answer is 75 I asked Siri

At 7:00 AM the temperature in Wilton was -6 degrees. By 8:00am the temperature was 2 degrees. What is the difference in the temperature between 8:00am and 7:00am?

Answers

Answer:

8 degrees

Step-by-step explanation:

Your really just counting up from -6 to 2.

Pleaseeee help !!! I don’t under stand this

Answers

Answer:

first one 10.50$ second 20.50 $ third 30.50$ forth 40.50 the cost of each t shirt

is 10.50$

Pls Answer And explain the question below

Answers

P=2(l+w)
To find width, given perimeter and length, the equation becomes : w = (p/2) — l

URGENT!!!! What are the x and y-intercepts of the line described by the equation?
2x – 6y = 30
Enter your answers in the boxes.

Answers

Answer:

(15,0)

(0,−5)

Step-by-step explanation:

Plug y=0 into the equation and solve the resulting equation 2x=30 for x

The x and y intercepts of the equation of line 2x – 6y = 30 are;

x-intercept = (15, 0)

y - intercept = (0, -5)

In graphs, the x - intercept is the point where y = 0. Similarly, the y - intercept is the point where x = 0.

We are given the equation of line as;

2x - 6y = 30

Thus, x-intercept, we will put y = 0;

2x - 6(0) = 30

2x = 30

divide both sides by 2 to get;

x = 30/2

x = 15

Thus, y-intercept, we will put x = 0;

2(0) - 6y = 30

0 - 6y = 30

-6y = 30

y = 30/-6

y = -5

In conclusion, the x and y intercepts respectively are (15, 0) and (0, -5)

Read more at; https://brainly.com/question/13405797

simon makes 30 cakes he gives 1/5 of the cakes to sali he gives 10% of the 30 cakes to jane what fraction of the 30 cakes does he have left?

Answers

Answer:

7/10

Step-by-step explanation:

1/5=6

10%=3

30-6-3

21

21/30=7/10

help!! im not good at simplifying.
Instructions: Evaluate the following expression and enter the final simplified answer in the box provided. Use a forward slash (i.e. "/") to enter in fractions (e.g. -1/2 is the same as −12).

(2)(−5/6)=

Answers

Answer:

5/3 or 1 2/3 there you go

Pls help me ASAP PLS PLS PLS PLS PLS PLS ASAP

Answers

Answer:

The domain is the input value of x, which can be any real number.

There is no inequality.

Set notation x | E R. ( all real nUmbers)

Interval. Oration (-infinity, infinity)

Range: set x to 0 and solve:

3(0)^2 + 2 = 2

The lowest value is 2 and goes to infinity.

Inequality is >=

Set notation Y | >= 2

Interval notation : [2, infinity)

End behavior they both go to infinity .

Solve for x

X-5=-9

(10 points)

Answers

x-5 = -9

add 5 to both sides

x = -4

Answer:

x = - 4

Step-by-step explanation:

x - 5 = -9

=> x = -9 + 5

=> x = - 4

round 18.238 to the nearest tenth

Answers

Answer:

18.2

Step-by-step explanation:

Since the hundreds place is less than 5, it stays the same.

Answer:

18.2, haven't done this for a while now, but I think that should be correct :)

question in picture.

Answers

Answer:

4,3,0.5 youre welcome, good Luckk : )

A fruit bowl contains 2 bananas, 5 oranges, and 4 apples.

Carol wrote the ratio 511. What could Carol’s ratio represent? Explain your reasoning based upon what you know about ratios.

Answers

Answer:

Oranges: to all fruit in the bowl.

Step-by-step explanation:

A ratio is similar to a fraction in the way that it represents a part to a whole.

There are 11 fruits total in the bowl (the whole), and oranges are the only fruit in the bowl that equal 5 (the part).

Answer:

Step-by-step explanation:

Oranges: to all fruit in the bowl.

Step-by-step explanation:

A ratio is similar to a fraction in the way that it represents a part to a whole.

There are 11 fruits total in the bowl (the whole), and oranges are the only fruit in the bowl that equal 5 (the part).

What is the value of x?

Enter your answer in the box.

x =

Answers

Step-by-step explanation:

x+55+80=180(sum of triangle)

or,x+135=180

or,x=180-135

or,x=45

Therefore,x=45°

The value of X or angle C is 45 degrees.

Given:

Two angles of triangle ABC are 80 degrees and 55 degrees.

It is required to find the value third angle X of the triangle.

The sum of three angles of a triangle is 180°.

So, the third angle, X, can be calculated as,

[tex]80+55+x=180\\135+x=180\\x=45^{\circ}[/tex]

Thus, we can conclude that the value of X is 45°.

To know more about  corresponding angles, refer to the link:

https://brainly.com/question/20766807

Adriana y Andrés caminan juntos todos los días. El recorre 150 metros y ella 100 metros por cada minuto de caminata. ¿Cuál es la distancia que recorre cada uno después de 3,6,8,9 y 10 minutos?

Answers

Answer:

hi  o whae your  ayt fk hbod

Step-by-step explanation:

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