The sum of the square of two consecutive whole number is 25. Find the numbers

Answers

Answer 1
Don't you mean "the sum of the squares ..."?
The sum of the squares of two consecutive whole numbers is 25.  Find the numbers.  Let the first be represented by x and the second by x+1.
Then x^2+(x+1)^2=25.  Expanding, x^2+x^2+2x+1=25.
Rewriting this as a quadratic equation in standard form,

2x^2+2x+1=25, or 2x^2+2x-24=0.  Simplifying, x^2+x-12=0.
Factoring, (x-3)(x+4)=0.  Solving for x:  x-3=0, so x=3; x+4=0, so x=-4.
Choose the positive x value:  x=3.  Then the next consecutive number is 2+1=3+1=4.

Check:  Does 3^2 + 4^2 = 5^2 = 25?  Yes.
The numbers are 3 and 4.

Related Questions

evaluate -5g- 6 for g = -2

Answers

-5(-2) - 6 = 10 - 6 = 4 (answer)
4 is the answer because


-5g-6=
-5(-2)-6=
10-6=
4



What is the smallest angle of rotational symmetry that maps a regular pentagon onto itself?

Enter your answer in the box.



___°

Answers

Answer:

72º

Step-by-step explanation:

In order to calculate this you have to remember that the center angle of any polygon measures 360º, so what we do is just divide those 360 by the number of angles that you will find in the polygon, the number of angles equals the number of sides, so the pentagon has 5 sides, it will also have 5 angles. So we just divide the 360/5=72

So the smallest angle of rotational symmetry that maps a regular pentagon onto itself will be 72º

Car 6 truck 10 suv 14 minivan 15 at this rate how many trucks would pass Luann if 90 vehicles passed her?

Answers

I think that there would be 20 trucks because 6 + 10 + 14 + 15 = 45,    6 + 10 + 14 + 15 = 45,     45 + 45 = 90 

The answer is animals, space, rocks, oceans and plants, what is the question?

Answers

What is on the earth? What is the environment of the earth :)

Jess spent 7x minutes on the computer. Her sister spent 5 x + 10 minutes on the computer, which was the same amount of time Jess spent. How many minutes was Jess on the computer?

Answers

7x = 5x + 10
-5x   -5x
2x = 10
x = 5

7(5) = 35 minutes

Jess spent 35 minutes on the computer

Answer: 35 minutes

Step-by-step explanation:

Given : Jess spent 7x minutes on the computer.

Her sister spent 5 x + 10 minutes on the computer, which was the same amount of time Jess spent.

Thus , we have

[tex]7x=5x+10[/tex]

Subtract 5x from both the sides , we get

[tex]2x=10[/tex]

Divide both sides by 2, we get

[tex]x=5[/tex]

Now, the time spent by Jess = 7(5)=35 minutes

Hence, Jess was 35 minutes on computer.

There are 62 rows of 9 chairs about how many chairs are there???

Answers

Final answer:

There are 558 chairs in total.

Explanation:

To find the total number of chairs, you need to multiply the number of rows by the number of chairs in each row. In this case, there are 62 rows and 9 chairs in each row. So, the total number of chairs would be 62 x 9 = 558.

If two of the cations have similar rf values how will you be aple to determine the difference

Answers

それでも、日本人の食生活も急速に変化してきています。それでも、日本人の食生活も急速に変化してきています。

In this henrik's class, there are 10 boys and 12 girls. What is the ratio of boys to girls? Express your answer as a fraction in simplest form.

Answers

5/6 is the simplest ratio 

the sum of two numbers is 7/8. One addend is 3/4. what is the other? A. 4/4 B. 1/8 C. 1/4 D. 2/8

Answers

7/8 - 3/4
= 7/8 - 6/8
= 1/8

answer
B. 1/8

Answer:


Step-by-step explanation:

Let the other be [tex] = x[/tex]


As the sum of the number is given as [tex] \frac {7}{8}[/tex]

And one number is [tex] \frac{3}{4}[/tex]


According to question


[tex] \frac{3}{4} +x = \frac{7}{8}[/tex]


Subtracting [tex] \frac{3}{4}[/tex] from both sides we get


[tex] \frac{3}{4} +x - \frac{3}{4} = \frac{7}{8} - \frac{3}{4}[/tex]


Taking LCM of 4 and 8 we get 8

And making

[tex] \frac{3}{4} [/tex] and [tex]\frac{7}{8}[/tex] like fraction by making denominator same.


Multiply [tex] \frac{3}{4} [/tex] by 2 in numerator and denominator and multiply [tex]\frac {7}{8}[/tex] by 1 in numerator and denominator we get


[tex]x= \frac{7}{8} - \frac{6}{8}[/tex]


[tex]x= \frac{7-6}{8}[/tex]


[tex]x =\frac{1}{8}[/tex]


Hence, the other number is [tex]\frac{1}{8}[/tex]


Which expression makes the equation true? X^8 = ( )^2

Answers

x^8 = ()^2

x^8 = (x^4)^2

x^8 = x^8

inside the parethesis is x^4

hope this helps
(a^m)^n = a^(mn)

x^8 = (x^4)^2 = x^(4 * 2) = x^8

Answer: (x^4)^2

Anisa is cooling water in her fridge.The waters temperature starts at 85 degrees and she cools it 3.5 degrees every minute for 12 minutes.Create a number sentence to model this scenario.

Answers

The temperature starts at 85 degrees.
t = 85

After 1 minute, it loses 3.5 degrees.
t = 85 - 3.5

After 2 minutes, it loses another 3.5 degrees.
t = 85 - 3.5 * 2

After 3 minutes, it loses another 3.5 degrees.
t = 85 - 3.5 * 3

etc.

After 12 minutes, it loses another 3.5 times 12 degrees.
t = 85 - 3.5 * 12

Have an average weight of 16 ounces and a standard deviation of 0.2 ounces. the weights of the sugar bags are normally distributed. what is the probability that 16 randomly selected packages will have a weight in excess of 16.075 ounces?

Answers

Standardised z score = (16.075 - 16) / 0.2  =  0.375

which gives a probability of 0.1462  for  selecting a package of weight 16.075

the probability of weight being excess of 16.075 = 0.5 - 0.1462 =  03538

Probability of picking 16 in excess of 16-075 = 0.3538^16 =  6.0273 * 10^-8

Here again is the information about the prescription drug: there is a 10% chance of experiencing a sore throat (s) and a 30% chance of experiencing a fever (f). the information also states that there is a 6% chance of experiencing both side effects. what is the probability of experiencing neither of the side effects?

Answers

youve got a 94% chance of not experiencing it but a 90% chance of not experiencing a sore throat and a 70% cahnce of not experiencing a fever

Avery collect cans for recycling when he has 1,000 cans the recycling Center will pick them up from the house Avery has 80 bags with about 40 cans in each bag should he call the recycling center to arrange to pick up explain how you know

Answers

He should call. If he has 80 bags and each of them have 40 cans, you would do 80x40, which is 3200. He has more than enough cans for the recycling center to pick up

Sherri spent 4 hours exercising last week. If 5/6 of the time was spent jogging, how much time did she spend jogging?

Answers

THat would be 5/6 * 4 = 20/6 = 3 1/3 hours jogging.

A map of a public park shows a circular pond. There is a bridge along a diameter of the pond that is 0.25 mi long. You walk across the bridge, while your friend walks halfway around the pond to meet you at the other side of the bridge. How much farther does your friend walk?

Answers

The circumference of a circle is pi times diameter, so half-way around the pond is (1/2)pi times diameter.

[tex]\frac{\pi}{2} = 1.57[/tex]

The difference between walking around the pond and walking across the bridge is: 1.57d - d = 0.57d

Plug in diameter of 0.25

0.25*0.57 = 0.14 miles
Final answer:

Your friend walks approximately 0.3925 miles farther than you along the curved path of the pond.

Explanation:

To find out how much farther your friend walks, we need to compare the distance along the bridge to the distance halfway around the pond. The bridge is a straight line across the pond, which is the same as the diameter of the pond. The diameter is 0.25 miles long. Your friend walks halfway around the pond, which is equivalent to walking half the circumference of the pond. The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. Since the bridge is the diameter, it is equal to 2 times the radius, or 2r. So the distance your friend walks is half the circumference or (1/2)(2πr) = πr. Since the diameter is 0.25 miles, the radius is half of that, or 0.125 miles. Plugging this into the formula, we find that your friend walks π(0.125) miles. To find a numerical approximation, we can use the fact that π is approximately 3.14, so your friend walks 3.14(0.125) miles. This simplifies to approximately 0.3925 miles. Therefore, your friend walks approximately 0.3925 miles farther than you along the curved path of the pond.

At a dog park there are 12 golden retriever and 20 poodles what is the ratio of golden retriever to poodles

Answers

You need to find a number that 12 and 20 share so you go through all the number starting with 1 and go until you can find one so I'll use the numbers 2 and 4. Gives you two options.
12/2=6
20/2=10
6:10

12/4=3
20/4=5
3:5

In a football game, the home team gained 8 yards in a running play. After that, the quarterback was sacked for a loss of 8 yards. On the next play, the quarterback threw a 25-yard pass for a touchdown. What was the final yardage gain on the play? Justify your answer.

Answers

25 yards because he gained 8 then lost 8

When performing today's experiment, your lab partner decides to add all the reagents into one beaker instead of two separate beakers. after adding everything together and waiting a significant amount of time, you see no reaction occur. what was the problem?

Answers

The problem can be an incorrect sequence of reagents added, requirement of heat or proportion of relative reactants when all the reagents simultaneously added into the beaker.

Further  explanation:

The reaction sometimes occurs in a series of elementary reaction which can be described in the reaction mechanism of that particular reaction. So when we added the incorrect sequence of reagents then the reaction may not happen as the way we want.

Some factors which can affect the reaction are as follows:

1. The ratio amount of given reagent may not be correct.

2. Some of the reactions have very slow rate of reactions and thus they required heat to increase the rate of reaction.

3. Sometimes the reagent which is important for the first step can undergo a side reaction with the reagent which should not be there otherwise.

4. That mechanism of reaction may be required light since chemoluminescence reactions depend on excitation of atoms.

5. Sometimes reactants should be mix in dark which can lose their activity in the light.

Learn more:

1. Determine the type of extinguisher should be available in the lab for pyrophoric: https://brainly.com/question/2159506

2. Calculation of volume of gas: https://brainly.com/question/3636135

Answer details:

Grade: Senior School

Subject: Chemistry

Chapter: Keys to study chemistry

Keywords: Performing experiment, lab partner, add all the reagents into one beaker, two separate beakers, and no reaction occur.

what is an estimate of :78% of 112

Answers

87.36
This can be rounded to equal 87.4.

Hope this helps! :)
85 would be a good estimate.
the estimate is close to the real answer which is 87.36.
remember, estimates are not exact answers but they are close guesses.

Harry rides his bike 25 Start Fraction 3 over 8 End Fraction miles. Karen rides her bike 25two-fifths miles. Who rides farther?

Answers

I believe Harry rode the farthest.

Hope this helps!

Final answer:

After converting their distances to decimals, Karen rides farther than Harry with a distance of 25.4 miles compared to Harry's 25.375 miles.

Explanation:

The question is regarding who rides farther, Harry or Karen, given their distances in different fractional forms. Harry rides his bike 25 3/8 miles, and Karen rides 25 two-fifths miles. To compare, we must convert their distances to similar fractional forms or decimals. Converting three-eighths to a decimal gives us 0.375, and converting two-fifths to a decimal yields 0.4. Therefore, Harry rides 25.375 miles, and Karen rides 25.4 miles.

Through comparison, it is clear that Karen rides farther than Harry. Karen's total distance of 25.4 miles exceeds Harry's total distance of 25.375 miles, albeit by a slight margin.

The volume of
100
drops of a liquid is
0.1
fluid ounce.
What is the volume of
10,000
drops?

Answers

10,000/100=100
100x0.1=10
so the answer is 10 fluid ounce
10 fluid ounces would most likely be your answer. 

Shelly sells 5 bone shaped treats for $3.50 how much should she charge to a pack of 12 treats which proportion is needed to solve the problem

Answers

Hola en ese caso se realiza una regla de tres.
si shelly cobra 5 golosinas por 3.50 dolares, 12 golosinas a cuanto equivaldran.

(12x3.50)/ 5 = 8.4 dolares deberia cobrar

Answer

5/3.5and 12/x or d

How many standard deviations tend to fall on either side of the mean in a distribution?

Answers

This percentage of scores fall within one standard deviation of the mean. 68% This percentage of scores fall on either side of the distribution: 50%

Write a number in which the value of the 9 is 1/100 the value of the 9 in the number 392,065.018

Answers

392065.018 could be rewritten as 302965.018.  Here I have moved the "9" two places to the right.  

Please solve-y(2+4y)

Answers

To solve this, you distribute the -y to both terms, 2 and 4y.
It will look something like this: (2*-y)+(4y*-y)
When you simplify, look for any like terms that can be combined, and if none, then leave it as it is. 
Your final answer will be: -2y-4y^2

the ratio to strawberry to banana batter is 2:3. We need 30 cups of batter total. How much banana batter do we need to make?

Answers

The answer is eighteen

What property of addition is shown in the following number sentence? Explain 7+(3+5)=(7+3)+5

Answers

The property: Associative Property of  Addition.                                                      7 + (3 + 5) = (7 + 3) + 5
this is the associative property....it has to do with grouping numbers..u can add the numbers no matter how the numbers are grouped and u will get the same answer

The required property is associative property.

Given that,
To determine a property of addition is shown in the following number sentence 7+(3+5)=(7+3)+5.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
7 + (3 + 5) = (7 + 3) + 5
Here, accoding to the PEMDAS rule, in mathematical string solution of the parenthesis is on priority. But we can see here on the left we add first 3 and 5 then the product adds to 7 and on the right, we add first 7 and 3 then the product adds to 5 gives the same result, this property of addition of number is called associative property.
As
7 + (3 + 5) = (7 + 3) + 5
7 + 8 = 10 + 5
15 = 15

Thus, the required property is associative property.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2



what is -(-2)??????

Answers

-(-2) is 

Because -1 and -2  make a +2
- (-2) = 2

two negatives = positive

one positive and one negative = negative

two positives = positive

hope this helps

use substitution to solve the system 5x-3y=23 2x+y=7

Answers

Because "y" is + in 2x+y=7, let's subtract 2x from both sides and end up with an expression for y:  y = 7 - 2x.  Substituting this into 5x - 3y = 23, 

5x - 3(7 - 2x) = 23.  Multiply out -3(7 - 2x):

5x - 21 + 6x = 23.  Combining 5x and 6x, 11x - 21 = 23, or 11x = 44.

Thus, x = 4.  Since y = 7 - 2x, subst. x = 4 results in the value of y:

y = 7 - 2(4) = 7 - 8 = -1.

The solution is (4,-1).
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