The sum of the squares of two consecutive integers is 25 find the integers

Answers

Answer 1
Answer: 3 & 4 or -4 & -3

Explanation:
For this problem, we know that we need two consecutive integers and the sum of the squares is equivalent to 25.

So what is the square root of 25?
5

So with this, we know that our two numbers need to be less than 5, but greater than -5.

Consider the following squares:
(1)^2 = 1
(2)^2 = 4
(3)^2 = 9
(4)^2 = 16

Which of the following sums to 25?
9 + 16 = 25

So one pair of numbers is 3 and 4.

Consider that we have the set of integers. Well, the square values of the negative integers are as follows:
(-1)^2 = 1
(-2)^2 = 4
(-3)^2 = 9
(-4)^2 = 16

Notice, the sum of the squares of the consecutive integers -4 and -3 also equals 25.

Hence another pair is -4 and -3.

So there are two pairs that satisfy the stated query.
3 and 4
-4 and -3

Cheers.

Related Questions

Terry used a total of 52 inches of ribbon to make 6 decorations. He used the same amount of ribbon for each decoration. How much ribbon did Terry use for each decoration?

Answers

Answer:52 x 6=312

Step-by-step explanation:

Terry used 52 inches of ribbon for the same amount. He's multiplying. Hope this helped.

4+801542/85*994567789

Answers

Answer:9,378,727,447,079.929‬

Step-by-step explanation:

Answer:

9.37414075 13 squared digit I don’t remember what it is called for that number so yea

Step-by-step explanation:

8011542/84 is 94257.43529 (already added 4) and 94257.43529 is about 9.37414075 13 squared digit I don’t remember what it is called for that number but that is the answer

In the figure QRST, point Q has coordinates (2, -3). If you translate the figure 4 units left and 3 units down, what are the coordinates of the translated point Q'?

Answers

Answer:

Q' (- 2, - 6 )

Step-by-step explanation:

a translation of 4 units left is in the x- direction and means subtract 4 from the x- coordinate.

a translation of 3 units down is in the y- direction and means subtract 3 from the y- coordinate.

Q (2, - 3 ) → Q' (2 - 4, - 3 - 3 ) → Q' (- 2, - 6 )

1. Write the following sentence using mathematical symbols.
Twice x, plus 10, is the same as - 5.

Answers

The sentence can be represented as 2x+10=-5, with x = -7.5

Given that twice the value of  x plus 10 is equals to -5

Mathematical symbols are used to perform various operations. The symbols make it easier to refer Mathematical quantities. It is interesting to note that Mathematics is completely based on numbers and symbols. The math symbols not only refer to different quantities but also represent the relationship between two quantities. All mathematical symbols are mainly used to perform mathematical operations under various concepts.

• Helps in denoting quantities

• Establishes relationships between quantities

• Helps to identify the type of operation

2(x)+10=-5

2(x)=-15

x=-15/2

x=-7.5

Hence, The sentence can be represented as 2x+10=-5, with x = -7.5

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se polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise. find the following sums without using a calculator or a formula

Answers

The sums of series using Polya's four-step problem-solving strategy in (a), (b) and (c) are 79800, 150975, and 1560 respectively.

(a) Let S  = 1 + 2 + 3 + … + 398 + 399Write the series in reverse order and then add both series.S = 1 + 2 + 3 + … + 398 + 399S = 399 + 398 + … + 2 + 12S = 400 + 400 + … + 400 + 4002S = 400 x  399S  = (400 X 399 ) / 2 =   200x399 =  79800(b) Let S = 1 + 2 + 3 + … + 548 + 549Write the series in reverse order and then add both series.S = 549 + 548 + … + 2 + 12S = 550 + 550 + … + 550 + 5502S = 550 x 549S  = (550x549 ) / 2 =  275x549   =  150975(c) Let S  =  2 + 4 + 6 + 8 + … + 72 + 74 + 76 + 78Write the series in reverse order and then add both series.S = 2 + 4 + 6 + … + 72 + 74 + 76 + 78S = 78 + 76 + 74 + … + 6 + 4 + 22S = 80 + 80 + … + 80  + 802S = 80 x  39S = (80 X 39 ) / 2 =   40 x 39 = 1560

a sequence is, more or less speaking, a description of the operation of adding infinitely many quantities, one after the opposite, to a given starting quantity. The examine of series is a chief part of calculus and its generalization, mathematical evaluation. series are utilized in maximum areas of mathematics, even for reading finite structures (which includes in combinatorics) thru producing features.

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proof that the span of two noncollinear vectors is the plane containing the origin and the heads of the vectors.

Answers

The Span of two noncollinear vectors is the plane containing the origin and the heads of the vectors.

Linear Span of vectors can be represented as

let [tex]x_{1} and x_{2}[/tex] be two non collinear vectors its span be written as [tex]x=a_{1} x_{1} +a_{2} x_{2}[/tex]   where [tex]a_{1}, a_{2}[/tex] are arbitrary scalars.

Subspace of vectors : a subset A of a vector space V is called a subspace of V if A is itself a vector space under scalar multiplication and addition defined on V.

The Span of two vectors is a vector space containing two vectors. Hence the span is also a vector space . It is sufficient to notice that any two independent vectors from subspace can be the basis.

Zero vector is the linear combination of these basis vector.

hence it is not possible to have a span of two non collinear vectors that does not contain origin .

Therefore, The span of two noncollinear vectors is the plane containing the origin and the heads of the vectors.

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Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?



(
,
)

Answers

The ordered pair for the greatest amount he can buy is (3.2, 12)

How to find the greatest cost of gas?

He  has $12 to put gas in his car. The gas costs $3.75 per gallon.

Therefore,

x = number of gallons of gasy = total cost of the gas.

Hence, the total amount he has to spend is 12 dollars.

Therefore,

y = 3.75x

where

y = 12 dollars

Therefore,

12 = 3.75x

divide both sides by 3.75

12 / 3.75 = 3.75x / 3.75

x = 3.2

Therefore, the ordered pair for the greatest amount he can buy is (3.2, 12)

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On a coordinate plane, point P is at (negative 4, 3). a. (–4, 3) b. (–3, 4) c. (3, –4) d. (4, –3) Group of answer choices

Answers

option (A) ( - 4 , 3 ) is the correct option to represent the coordinate of point P at ( negative 4, 3 ).

We are given the coordinate of the point as:

(negative 4, 3)

the negative means a minus ( - ) sign.

So, the coordinate of point P can also be written as:

( - 4 , 3 )

So, we get that:

Option (A) ( - 4 , 3 ) is the correct option.

Therefore, we get that, option (A) ( - 4 , 3 ) is the correct option to represent the coordinate of point P at ( negative 4, 3 ).

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2. compare the histogram at 5 bins and at 25 bins. what does the narrower bin width reveal that the wider bin width obscures?

Answers

Answer: skewed left

Step-by-step explanation:

a distribution with two peaks: one at $30,000 and the other at $40,000

Complete the explanation to identify the set of numbers that best describes the situation.

the amount of water in a glass as it evaporates

The amount can be any
number less than 0
, thus it is a
rational
number.

Answers

The set of real numbers best describes the situation since the number of water in a glass can be any number greater or even to 0. Real numbers.

Help needed with geometry.

Answers

Answer:

d

Step-by-step explanation:

Answer: d

Muse synthetic division to find the quotient and remainder when 3x^4 +19x^3+22x^2-6x+4 is divided by x+2

Answers

Answer: 3x^3 +13x^2 -4x +2 +0/(x+2)

Step-by-step explanation:

-2: 3 19 22 -6 4=

       -6 -26 8 -4

    3 13 -4  2   0 ==> 3x^3 +13x^2 -4x +2 +0/(x+2)

Quotient: 3x^3 +13x^2 -4x +2

Remainder: 0

graph: y + 2 = 2 (x + 3)

Answers

Use Desmos, are you that lazy?

give the inverse, contrapositive, and converse for each of the following state- ments: (a) if she finished her homework, then she went to the party. (b) if he trained for the race, then he finished the race. (c) if the patient took the medicine, then she had side effects. 3

Answers

The inverse of (a) is If she did not go to the party, then she will not finish her homework.

The inverse of (b) is If he did not finish the race, then he will not have trained for the race.

The inverse of (c) is If she has no side effects then the patient will not take the medicine.

The converse of (a) is if she finished her homework, then she went to the party.

The converse of (b) is if he trained for the race, then he finished the race.

The converse of (c) is if the patient took the medicine, then she had side effects.

The contrapositive of (a) is if she did not finish her homework, then she did not go to the party.

The contrapositive of (b) is if he did not train for the race, then he will not finish the race.

The contrapositive of (c) is if the patient did not take the medicine, then she will not have side effects.

What do you mean by Inverse, Contrapositive, and Converse?

Converse: By swapping the hypothesis and the conclusion, a statement can be made to mean the converse. "If two lines don't intersect, then they are parallel" is the inverse of "If two lines overlap, then they are parallel."

Inverse: Each of the original statements is presupposed to be false in an inverted statement. "If it is not snowing" would be the polar opposite of "If it is snowing." "Then it is not chilly" would be the polar opposite of "then it is cold."

Contrapositive: a statement or theorem created by swapping out the hypothesis and conclusion, or the subject and predicate, of a given statement or theorem. The opposite of "if A then B" is "if not-B then not-A."

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*First to answer rightfully will get brainliest. NO LINKS are allowed. Thank you.

Please help with the following question:

You just got back from a trip to
Florida for the school break and
you still have $225 in U.S.
currency. Today, the bank rate is
C$1.04 for US$1. How much in
Canadian funds will you get for
your U.S. currency?

Answers

3.69 + 6.936= 3.675899903456295

Dan earns £9.20 per hour. How much will he earn for 8 hours work?

Answers

Answer:

£73.6

Step-by-step explanation:

Earnings per hour ( means for one hour of work he earns)= £9.20

total no of hours he works for = 8

so,in 8 hours he will earn

9.20× 8=£73.6

Write 10 algebraic expressions and then solve them!

(This is kinda easy and also I'll make brainliest answer to someone who answered correctly,clear and detailed!)​

Answers

Answer: done

x + 3 = 0

subtract 3 on both sides

x = -3

x +4 = -3

subtract 4 on both sides

x = -7

3x = 0

divide 3 on both sides

x = 0

5x = 2

divide 5 on both sides

x = 2/5

x - 4 = 0

add 4 on both sides

x = 4

5x - 4 = 0

add 4 on both sides then divide both sides by 5

x = 4/5

2x + 4 = 5

subtract both sides by 4 then divide both sides by 2

x = 1/2

2x^2 = 9

square root both sides then divide both sides by 2

x = 3/2

5x - 1 = 2

add both sides by 1 then divide both sides by 5

x = 3/5

x + 3 = 65

subtract both sides by 3

x = 62

You are solving a measurement problem where the numbers 4.0286 × 109 and 3.1 × 10−4 are divided. How many significant digits should the quotient have?

Answers

The quotient will have 2 significant figures.

The digits in the number , that contribute to the degree of accuracy can be defined as Significant Figures.

For Example ; 2.096 has 4 significant Figures

0.069 has 2 significant figures.

Rule Of Significant for Multiplication & Division :

Rule says in multiplication or division , the final result should retain as many significant figures as there are in the original number with the least significant figures.

In the given question

4.0286 × 10⁹   = 5 significant figures

3.1 × 10⁻⁴  = 2 significant figures

The quotient on dividing the numbers is 1.2995 x 10¹³  will have 2 significant figures as the least significant from 5 and 2 is 2.

Therefore , the quotient will have 2 significant figures.

The given question is incomplete , the complete question is

You are solving a measurement problem where the numbers 4.0286×10⁹ and 3.1×10⁻⁴ are divided. How many significant digits should the quotient have?

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ms. wilson draws a model of the factorization of a polynomial with integer factors. her model is partially complete. which equation is represented by ms. wilson’s model? n2 3n 40

Answers

n²+13n+40,

This is why;

Observe only the right side. The number is (n+8)(n+5).

Let's elaborate on that using FOIL.

F = When we multiply the first two terms, n and n, we obtain n².

O = outer instructs us to multiply n by 5 to get n*5 or 5n from the outer terms.

I = inner instructs us to multiply the inner expressions 8 by 8 and n by n to obtain 8n.

Since 8 and 5 are multiplied by L, we obtain 8*5 = 40.

Add up the outcomes: n²+5n+8n+40 = n²+13n+40

Observe how the phrase is a little bit simplified by the combination of the like terms (5n and 8n).

This demonstrates how (n+8)(n+5) becomes n²+13n+40, becoming the correct response. For all values of n, none of the other options are valid equations;

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Express 2^40 × 4^30 in the form 2^n​

Answers

Answer:

[tex]2^{100}[/tex]

Step-by-step explanation:

Given expression:

[tex]2^{40} \times 4^{30}[/tex]

Rewrite 4 as 2²:

[tex]\implies 2^{40} \times (2^2)^{30}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 2^{40} \times 2^{(2\times30)}[/tex]

[tex]\implies 2^{40} \times 2^{60}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]\implies 2^{(40+60)}[/tex]

[tex]\implies 2^{100}[/tex]

Therefore, n = 100.



Ria has these two cubes.
The side length of the smaller cube is x cm.
The side length of the larger cube is twice the side length of the
smaller cube.

Write an expression for the side length of the larger cube in
terms of x.

Answers

Answer:

2x

Step-by-step explanation:

side length of smaller cube = x

side length of larger cube is two times the side length of smaller cube.

Therefore side length of larger cube = 2x

Aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

?

Step-by-step explanation:

ahhhh are u okay buddy

Which is a reasonable first step that can be used to solve the equation 2 (x + 6) = 3 (x minus 4) + 5?
Group of answer choices

Distribute 2 to (x + 6) and 3 to (x – 4).

Apply the subtraction property of equality to move the 6 from the left side of the equation to the right side.

Combine like terms, 3 and 5, on the right side of the equation.

Distribute 2 to x on the left side of the equation and 3 to x on the right side of the equation.

Answers

Answer:

x = 19

Step-by-step explanation:

I think you are on the right track. Below is the way I would approach it:

1. Expland the brackets

2. Collect like terms

3. Make x the subject

Let me know if you want the working out. Hope this helps.

what the answer to

1 4/5 x 5/6

Answers

Answer:

7/3

Step-by-step explanation:

14/5×5/6

=14/6

=7/3

what is the monthly difference in median income for a male versus a female when both have a bachelor's degree

Answers

Answer: $1,372

Step-by-step explanation:

If using the Labor Statistics Document

A men’s median weekly earning with Bachelor’s degree only is $1,384 * 4 weeks = $5,536

A women’s medium weekly earning with a Bachelor’s degree only is $1,041 * 4 weeks = $4,164

Subtract $5,536 - $4,164 = $1,372

The full sentences are:

The typical monthly salary for women with bachelor's degrees is $3,020.

The typical annual salary for a guy with an associate's degree is $36,432.

What is Mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Every month has four weeks.

The median monthly income is thus:

Earnings = 4 * $755

Earnings = $3020

As a result, the typical monthly salary for women with bachelor's degrees is $3,020.

The median annual income:

A man with an associate's degree makes $759 each week.

A month has four weeks, while a year has twelve months.

Hence, the annual median income is:

Earnings = 4 x 12 x $759

Earnings = $36,432

Thus, the typical annual salary for a guy with an associate's degree is $36,432.

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Complete question:

3. What is your monthly median income if you are a female with a bachelor's degree? _____

4. What is your yearly median income if you are a male with an associates degree? _____

I need help please help me if u can

Answers

here is the answer

Step-by-step explanation:

it is just changing decimals to normal numbers.

can you help me and solve it

Answers

Answer:

I think its $4 I'm not sure tho

Step-by-step explanation:

Answer:

[tex] \large{ \star{ \boxed{ \tt \: answer : \: \$ \: 3.28 }}}[/tex]

Please see the attached picture for full solution!:)

-------- HappY LearninG <3 ----

Martin scores 10% of the points in a game if this represents 10 point how many points were scored in total

Answers

20 points.
10% is 1/10 you can multiply his number by 10 to get answer

Answer:

10 OR 100. Read the explanation for details.

Step-by-step explanation:

If Martin scored 10%, and this represents 10 points, that means that martin scored 10 points. If he is talking about ALL the points in total then there are 100 points because 10% is 1/10, and if each 1/10th is 10 points, if you multiply that by 10 you get

100.

05.05
The sample space for tossing a coin 3 times is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.

Determine P(2 tails).

12.5%
37.5%
50%
75%

Answers

I’m order to solve the problem you need to consider the probability of the sequence so the answer is 37.5

The value of P(2 tails) is 37.5%, the correct option is B.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

The sample space=  {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Now,

The sample space for tossing a coin 3 times is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}, where H represents heads and T represents tails.

To determine P(2 tails), we need to count the number of outcomes in which there are 2 tails, and divide that by the total number of outcomes:

Number of outcomes with 2 tails: There are three outcomes with 2 tails: TTH, THT, and HTT.

Total number of outcomes: There are eight outcomes in total.

P(2 tails) = number of outcomes with 2 tails / total number of outcomes = 3/8 = 0.375, which is equivalent to 37.5%.

Therefore, the probability the answer will be 37.5%.

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I need help. somebodysolve this. i think the answer is 8
(2x +20)y X=10 y=5​

Answers

Answer:

If there is divide sign between (2x+20) and y, then the answer is 8 but if there's multiplication sign between (2x+20) and y, then the answer is 200.

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