The sum of the squares of three consecutive integer numbers is 1454. Find the numbers. I have already found 21 22 23 but the question says that there are 2 possibilities. please help!!!!!!

Answers

Answer 1

Answer:

three consecutive integers

Let x,(x+1),(x+2) represent the three consecutive integers

Question states

x^2 +(x+1)^2+(x+2)^2 = 110

Solving for x

3x^2 + 6x  + 5 = 110

3x^2 + 6x  -105 = 0

3(x^2 + 2x - 35)  = 0

 (x^2 + 2x - 35)  = 0  

factoring

 (x+7)(x-5) = 0 Note: SUM of the inner product(7x) and the outer product(-5x) = 2x

 (x+7)=0  |x = -7  The three consecutive integers are -5,-6,-7

 (x-5)=0  |x = 5   The three consecutive integers are 5,6,7

25 + 36 + 49 = 110  

Answer 2

The three consecutive integer numbers are 21, 22 and 23

Let the 3consecutive integers be x-1, x and x+1

Taking the sum of the squares

(x-1)²+x² + (x+1)² = 1454

x²-2x+1+x²+x²+2x+1 = 1454

3x²+2 = 1454

3x²= 1452

x² = 484

x = 22

First number is x - 1 = 22 - 1 = 21

second number is x = 22

Third number is x+ 1= 22+ 1 = 23

Hence the three consecutive integer numbers are 21, 22 and 23

Learn more here: https://brainly.com/question/24272171


Related Questions

The following table shows how many pies 444 baking teams made at a pie-baking competition. For example, Team Crusty baked 282828 pies in 888 hours.

Answers

Answer:

The answer would be B

Step-by-step explanation:

Divide each number of pies made by each team by 4.5

Which one has a quotient of the same number of hours they were baking pies is the correct answer.

The answer would be B. I divided the pies per hour

Or : pies / hour = ??

For the “pie piece” team, 27 / 6 = 4.5

Hannah decided to make finger gelatin for a huge children’s party. She had to make 8 packs of gelatin. Each pack needed 2 cups of water. How many quarts of water will she need?
8 quarts
4 quarts
6 quarts
3 quarts

Answers

Answer:

4 quarts

Step-by-step explanation:

need 16 cups. In quarts that would be 4 quarts.

The answer is 4 quarts

HHEELLLPPP MEEhbbnbjhjjh jhjhjhjh

Answers

Answer:

-3x + 36

it is correct answer

what is the answer to this?

Answers

Bottom left is the correct answer

Answer:

(8+24)÷(12*4)

Step-by-step explanation:

(8+24)÷(12*4)

(32) ÷(48)

.6666 or 2/3

It the bottom right or the one boxed in

IF YOU ANSWER CORRECTLY I WILL GIVE YOU BRAINLIEST THE TOPIC IS EXPLAIN INFERENCE

1. Jeremiah went to six different bakeries around his town and sampled one cupcake from each place regardless of how many different flavors they offered. Of the six cupcakes he sampled, he liked all of them.

Inference: Jeremiah will like most of the cupcakes from the six bakeries around his town.

Defend or challenge the inference with at least two complete sentences.

Answers

Answer: Defend

Step-by-step explanation: For one he said he liked all the cupcakes in the bottom sentence stating already that he liked all of them. Second he said he sampled one from each bakery regardless of the flavors stating if you thought about it you would know that he didn't care what flavor the cupcakes were he knew that they were going to be good either way.

please help 15 MATH PROBEL

Answers

Answer:

x=2

Step-by-step explanation:

look at the line on the graph where y is 3 units up x is 2 units right

X=2 you have to use rise/run

Can someone please help me find the area of the figure.

Answers

Answer:

The area is 27 units

Step-by-step explanation:

You add together all of the full squares which would give you 24.

Then add all the half squares to get 3.

24+3=27

Answer:

24

Step-by-step explanation:

you can divide this shape into 2:

a) 6*3 rectangle

b) a triangle

first you do 3*6 = 18

the triangle is 6 (width) 3 (height) and divivde it by 2 which is 6

18+6=24

i need help on this- i will give brainliest!!

Answers

Answer: i think it is the mode or mad but i belive you can use the median

Step-by-step explanation:

Answer:

i think it is the mode or mad but i belive you can use the median

Step-by-step explanation:

Can someone help me with this??

Answers

True
False
True

So sorry if I’m wrong

Please help meeeeeeeeee

Answers

Step-by-step explanation:

1. 10-(2+3) = 5

2. 2x3 - 10 = -4

3. 3 x (4-2) = 6

4. (3+5) / 4 = 2

5. (5-2) x 3 = 9

6. (9-4) + 5 = 10

1) 10 - (2+3) = 5

2) 10 - (2x3) = 4

3) 3 x (4-2) = 6

4) (3+5) / 4 = 2

5) (5-2) x 3 = 9

6) 5 + (9-4) = 10

Help ASAP, NO LINKS OR YOU WILL BE REPORTED!! WILL GIVE BRAINIEST!

Answers

Answer:

Question.... Why no links, i wont give you any, but why does everyone dislike links? Just so u know in am 9 and i am in high school :)

Step-by-step explanation:

During the last few months, Maria has seen deer in her backyard on 13 days and no deer on 52 days. What is the approximate probability that she will see deer in her yard tomorrow?
A) 0.25
B)1/5
C) 33.3 %
D) 2/3

Answers

The answer is going to be d

Answer:A

Step-by-step explanation:

Write an algebraic expression that is the quotient of a variable term and a constant.
:( sorry im so bad at these. brainlyest will go to who awnsers it first c:

Answers

9514 1404 393

Answer:

  (47xy)/(6√3)

Step-by-step explanation:

A variable term is one that contains one or more variables, possibly with a coefficient. We can use 47xy as our variable term.

A constant is some number, or a representative of a particular number. π and e and Ф are representative of irrational constants. Of course, any number is also a constant. We can use 6√3 as our constant.

A quotient is formed when a first value is divided by a second value.

Here is the quotient of our variable term and our constant:

  [tex]\dfrac{47xy}{6\sqrt{3}}[/tex]

Please answer! Brainliest will be given, thanks :)

Answers

Answer:

2600, 3400, 5000, 7000

Step-by-step explanation:

This equation can be simplified to 200n + 1000. Now we can just plug in the amount of customers. 200 * 8 + 1000 = 2600. 200 * 12 + 1000 = 3400. 200 * 20 + 1000 = 5000, and 200 * 30 + 1000 = 7000.

The ratio that compares the measurements of a model and the real object is called what?

Answers

Answer:

Unit Scale

Step-by-step explanation:

A unit scale is a ratio that compares the dimensions of an actual object to the dimensions of a scale drawing or model that represents the actual object. Neither value in a unit scale has to equal 1.

Question 5
show the work please

Answers

Answer:

D) 27

Step-by-step explanation:

It's a rectangle so the opposite sides are congruent to each other.

Long Side:

6x + 6 = 42

subtract 6 from both sides:

6x = 36

divide both sides by 6:

x = 6

Short Side:

5y + 5 = 30

subtract 5 from both sides:

5y = 25

divide both sides by 5:

y = 5

The Equation:

2x + 3y

substitute in the values:

2(6) + 3(5)

do the multiplication:

12 + 15

add the values together:

27

D hope this helps!!!!!!!!

Please solve with steps

Answers

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

Answer:

x=9

Step-by-step explanation:

isolate the variable by dividing each side by factors that contain the variable

Which steps will help prevent the introduction of invasive species into an area?

Inspect imported exotic species of plants and animals.

Educate the general public about activities that can lead to the spread of invasive species.

Use pest control methods for native pests, such as rats and harmful bugs.

Implement conservation methods to restore endangered populations of native animals to the area.
pick 2

Answers

Answer:

answer becit uses b

Step-by-step explanation:

but yass queen but annyway

Answer:

--Educate the general public about activities that can lead to the spread of invasive species.

--Implement conservation methods to restore endangered populations of native animals to the area.

Explanation:

Invasive species is the species which comes from non-native land either due to human introduction or by their own. The invasive species compete with the members of the native species for resources.

The following are the steps will help prevent the introduction of invasive species into an area:

--Educate the general public about activities that can lead to the spread of invasive species.: The general public must be aware about the drawbacks and problems associated with the spread of invasive species.

--Implement conservation methods to restore endangered populations of native animals to the area.: The invasive species is likely to compete with the native species for resources. Hence, this can harm the population of the native species. This will kill the native species members to the extend that the species become endangered. The endangered members must be protected by using the conservation methods.

Mr. Stevenson is ordering shirts and hats for his Boy Scout Troop. There are 60 scouts in the troop. Hats come in packs of 3, and shirts come in packs of 5. What is the least number of packs each he should order so that each scout will have 1 hat and 1 shirt, and none will be left over?

Answers

Answer:
He should order 20 packs of hats and 12 packs of shirts.

Explanation:
60 ÷ 3 = 20
60 ÷ 5 = 12

What is (f+g)(x)?
f(x)=
- 2x2–9x
g(x)=5x
Write your answer as a polynomial or a rational function in simplest form.

Answers

Answer:

-2x²-4x or -2x(x+2)

Step-by-step explanation:

(f+g)(x) means we are adding the values of f(x) and g(x):

f(x) = -2x²-9x

g(x) = 5x

(f+g)(x) = -2x²-9x+5x = -2x²-4x = -2x(x+2)

What is the domain of the following relation?

Answers

C it is c don’t pick d

Find the surface area of the prism or pyramid. Round to the nearest hundredth if necessary.

Answers

Answer: 602.88

Step-by-step explanation:

2πr^2+2πrh

2(3.14)(8)^2+2(3.14)(8)(4)

2(3.14)(64)+2(3.14)(32)

2(200.96)+2(100.48)

401.92+200.96

602.88

SA(surface area)

SA = 2xh + 2pi * r ^ 2

SA = 2pi * (8) * (4) + 2pi * r ^ 2

SA = 2pi * (32) + 2pi * (8 ^ 2)

SA = 2pi * (32) + 2pi * (64)

SA = pi(64) + pi(128)

SA = pi(192)

SA = 603.19 ft ^ 2

What is the surface area of the square pyramid?

Answers

Answer: 417.24

[tex]6.1x9x7.6=417.24[/tex]

Step-by-step explanation:

The answer will be 417.24

Use variables to write an equation that represents the relationship between the time x and the distance y . A person runs 175 yards per minute.

An equation that represents the relationship is y=______

Answers

Y = 175 yds/min x. .
Y= 175 yards per minute

Help me please dew in 5

Answers

Can you plz take a better pic it’s hard to see

Answer:

c d and e ar correct

Step-by-step explanation:

One more too please, also, answer it right and make sure its correct please.

Answers

I know it’s not the best quality but I tried to get it to be understandable

I need help explaining, I know the answer, but I don't know how I got the answer
Find the interest
principal 20,000
rate 12%
Time 3 months

Answers

Answer:

The interest is +7466.6 per month.

find the volume of the cylinder using the given formula

Answers

Answer:

B. 1469.52 cubic units

Step-by-step explanation:

6 squared is 36, 36 x 13 is 46s, 468 x 3.14(pie) is 1469.52

Two numerical patterns are shown below:

Pattern A: 4, 8, 12, 16, 20
Pattern B: 8, 16, 24, 32, 40

Select the statement that describes the numerical patterns.

A) The terms in Pattern B are one half the value of the corresponding terms in Pattern A.
B) The terms in Pattern A are one half the value of the corresponding terms in Pattern B.
C) The rule for Pattern B is "multiply by 4."
D)The rule for Pattern A is "multiply by 2."

Answers

Answer:

B) The terms in Pattern A are one-half the value of the corresponding terms in Pattern B.

Answer:The terms in Pattern A are one half the value of the corresponding terms in Pattern B.

and I just took test hope this helps.

Step-by-step explanation:

Two numerical patterns are shown below:

Pattern A: 4, 8, 12, 16, 20

Pattern B: 8, 16, 24, 32, 40

Select the statement that describes the numerical patterns. (2 points)

Group of answer choices

The terms in Pattern B are one half the value of the corresponding terms in Pattern A.

The terms in Pattern A are one half the value of the corresponding terms in Pattern B.

The rule for Pattern B is "multiply by 4."

The rule for Pattern A is "multiply by 2."

Under her cell phone plan, Allison pays a flat cost of $64 per month and $3 per gigabyte. She wants to keep her bill under $95 per month. Which inequality can be used to determine gg, the maximum number of gigabytes Allison can use while staying within her budget?
.
.
.
.
Answer below!!

Answers

64+3x [tex]\leq[/tex] 95

hope that helps!

brainliest plZ!

from KENNY

all the best

Other Questions
Please Help I will reward brainliest. Why is the act of Peaceful Protesting so important to change Help me pleas I need help to solv this problem why does my feet smell? based on the table, what is the slope,m, and y-intercept , b , on the line that models this relationship? Future Tense. Select the best choice from the options available in order to fill in the blank with the correct conjugation of the verb in parenthesis of the following sentence. Yo __________________ (mirar) esta pelcula nueva el viernes por la tarde. Group of answer choices mirar mir mir mirar how are public policy andpublic opinion are related. A pair of shoes usually sells for $58. If the shoes are 40% off, and sales tax is 6%, what is the total price of the shoes, including tax? Please answer plzzzzzzzzzzz Which is the larger value: 2 x 10^6 or 9 x 10^5?Explain how you know. 1. Which of the following were the Reconstruction years?A. 1861-1865B. 1850-1860C. 1865-1876BillD. 1890-1900 They didn't reach an agreementtheir differences.on account ofdue. becauseowing Does anyone know this answer?? Probability is a measure of Franklin gave a presentation without any help from others. He didn't smile, and he looked at the floor during the presentation. What could Franklin have done to improve his presentation?a Added more images to his slides to add engagementb Asked for someone else to do the research for himc Practiced in front of a trusted adult and asked for feedbackd Read the information right from the slides if i made 80 dollars every weekend for a year, how much would i have How do I say "as much as I can" in Spanish? what is the term used for describing the formation of the three branches The length of a rectangle is four times the width minus three. If the perimeter of the rectangle is 64 meters, what is the length? Babies typically double their birth weight in the first year of life.TrueFalse