Two positive integers differ by 9. If the squares of the integers are added, the result is 125. Find
the two integers.

Answers

Answer 1

Answer:

x - y =9

x^2 + y^2 = 125

2^2 + 11^2 = 125

11-2 = 9

Thus, the two numbers are 2 & 11.

Hope this helps!


Related Questions

TL
A triangle has sides with lengths of 8 feet, 15 feet, and 17 feet. Is it a right triangle?

Answers

Answer:

Step-by-step explanation:

To test if this is a right triangle, let's test these side lengths with the Pythagorean Theorem.

a^2 + b^2 = c^2

c is the hypotenuse, the longest side of a right triangle.

a and b are the legs of the right triangle.

a = 7

b = 15

c = 17

7^2 + 15^2 = 17^2 ?

49 + 225 = 289 ?

274 ≠ 289

Thus, this triangle is not a right triangle since it does not satisfy the Pythagorean Theorem.

have a good day :)

Vigorous exercise helps people live several years longer (on average). Whether mild activities like slow walking extend life is not clear. Suppose that the added life expectancy from regular slow walking is just 2 months. A statistical test is more likely to find a significant increase in mean life expectancy if:_______.
A. respondents tell the truth about exercising.
B. the size of the sample doesn't have any effect on the significance of the test.
C. 95% confidence is high enough.
D. it is based on a very large random sample.
E. it is based on a very small random sample.
Hint:Think about the importance of the sample size.

Answers

Using the concept of margin of error, it is found that higher samples lead to more precise results, hence the correct option is:

D. it is based on a very large random sample.

What is the margin of error of a confidence interval?

The margin of error of a confidence interval is given by:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which:

z is the critical valuer related to the confidence value, the higher the confidence level the higher z.s is the standard deviation.n is the sample size.

In this problem the increase in life expectancy regarding regular slow walking should be considerably greater than 2 months, which means that the a larger sample is needed to give a more precise result, hence option D is correct.

You can learn more about margin of error at https://brainly.com/question/25821952

Evaluate each expression when a=3 and b=8. Order the results from least to greatest.

Answers

Answer:

[tex]\frac{24}{a}[/tex] - b

[tex]\frac{b-2}{a}[/tex]

[tex]\frac{21}{a}[/tex]-[tex]\frac{b}{4}[/tex]

b - [tex]\frac{2}{3}[/tex]a

25 - 2b

5b - 10a

Step-by-step explanation:

a = 3 and b = 8

Plug in a and b into your equations.

25 - 2(8) = 25 - 16..........9

[tex]\frac{8-2}{3}[/tex] = [tex]\frac{6}{3}[/tex]..........2

5(8) - 10(3) = 40 - 30..........10

[tex]\frac{24}{3}[/tex] - 8 = 8 - 8..........0

[tex]\frac{21}{3}[/tex] - [tex]\frac{8}{4}[/tex] = 7 - 2..........5

8 - [tex]\frac{2}{3}[/tex](3) = 8 - 2..........6

Then you order least to greatest.

Write an inequality that describes all the points that are more than 3 units from 5.

Answers

Step-by-step explanation:

[tex]3 < x \geqslant 5[/tex]

Calculate:

f(4) - (g(2) + f(3)) =

h(1) + f(1) x g(3) =

Answers

Answer:

1)  f-2g

2) h+3fg

Step-by-step explanation:

1)

f(4) - g(2) + f(3))4f - 2g + 3f4f - 3f - 2gf - 2g

2)

h(1) + f(1) x g(3)h + f x 3gh + 3fg

#1.

[tex]f(4) - g(2) + f(3))[/tex]

[tex]4f-2g + 3f[/tex]

[tex]4f - 3f - 2g[/tex]

[tex]f-2g[/tex]

#2.

[tex]h(1) + f(1) x g(3)[/tex]

[tex]h+fx 3g[/tex]

[tex]h + 3fg[/tex]

Only number 5 please help

Answers

B. 60 this can be answered by also knowing degree angle's as it starts at 0 increments of 10

If anyone minds, can someone answer this and show your work pls.

Answers

Answer:

x=2 y=16 so (2,16)

Step-by-step explanation:

y=10x-4 --> 8x=10x-4

                  -10x -10x

-2x=-4

-2/-2x -4/-2

x=2

y=10x-4 --> y=10(2)-4

y=20-4

y=16

Answer:

2 ; 16

Step-by-step explanation:


y = 8x _
y = 10x - 4

___________
0=2x-4

4=2x

x=2

=> y=8*2=16

Help, Name the point

Answers

Answer:

What are you talking about

Step-by-step explanation:

Answer:

Point

Step-by-step explanation:

its kinda in the name

Represent 1.5, 2.7 and 0.9 on a number line

Answers

Answer:

Where would the decimal number 1.5 be on a number line? The decimal number 1.5 has a whole number of 1, which is the number to the left of the decimal. The number 1.5 is halfway between 1 and 2.

Step-by-step explanation:

55 points please answer correctly you will be marked brainiest!

Answers

Answer:

Answers are in picture, and they are color-coded.

Step-by-step explanation:

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

Answer:

Upper quartile- The median of the upper half of a set of data

Lower Quartile- The median of the upper half of a set of data

Quartile- Divides a data set into four equal parts

Range- Difference between the highest and lowest data points


Interquartile- The difference between the upper quartile and the lower quartile

What expression is equivalent to (4x–5) (2x-3)?

Answers

Answer:

8x^2-22x+15

Step-by-step explanation:

Multiply them together

Answer:

There are many, many, different expressions equivalent, but if you distribute them together you come up with:

8x² - 22x + 15

Step-by-step explanation:

When distributing (4x–5) (2x-3) we should end up with four values, and then add them together.

[] The outside numbers of 4x and -3

-> 4x * -3 = -12x

[] The inside numbers of -5 and 2x

-> -5 * 2x = -10x

[] The left numbers of 4x and 2x

-> 4x * 2x = 8x²

[] The right numbers of -5 and -3

-> -5 * -3 = 15

Now we can add them together;

-12x + -10x + 8x² + 15

8x² - 22x + 15

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

please help 15 points easy HHHEELLPP

Answers

Hope this helps you!
HOPE THIS HELPS!! ( showed in fraction from!!)

HELP ! ! HOW can I Solve these both Math Questions I am so confused Help!

Answers

Answer number 1.:

x=

31

−6≈−0.432235637

x=−

31

−6≈−11.567764363

answer number 2.:

Factor:

3 (x-(6 - 2   10

Evaluate:  

3 ( x2 - 12x -- 4)

HELP …………………………………….

Answers

Answer:

4 4/15

I put it all in the pic. I am bad at formatting. Sorry. Hope this helps.

:D

i need help on this does any body know

Answers

Answer:

use this formula

Step-by-step explanation:

A soccer team made $575.75 from selling popcorn at a concession stand during a tournament. The popcorn cost the team $65.00. What is the amount of money earned for each player if the profit is divided equally among the 15 players?
a. $34.05.
b. $42.72.
c. $57.661.25.
d. $59.611.25.

Answers

Answer:

I think b it's the only one that makes sense to me

( 575.75 - 65 ) / 15 = amount each player gets

575.75 - 65 = 510.75

510.75 / 15 = $34.05 given to each player

your answer choice should be A

The figure below shows three quadrilaterals on a coordinate grid: A coordinate plane is shown with three quadrilaterals. Figure M has four sides that measure 2 units each. Figure N has four sides that measure 2 units each. Figure O has four sides that measure 4 units each. Which of the following statements is true about the three quadrilaterals? (4 points) a M and O are similar and congruent. b O and N are similar and congruent. c M and N are similar but not congruent. d M and O are similar but not congruent.

Answers

Answer:

D. M and O are similar but not congruent

Step-by-step explanation:

As you can see, M and O are similar because they both have four sides and equal length for each of the side meaning that they are both squares.

At the same time, M and O are do not have the same dimensions meaning they are not congruent

A basketball team wants to paint half of a free-throw circle grey. If the circumference of the free-throw circle is 30. 77 feet, what is the area that will be painted grey? Use 3. 14 for π, and round to the nearest square foot. Enter your answer in the box.

Answers

Answer:

37.69    (≈ 38 ft²)

Step-by-step explanation:

2πr = 30.77

r = 30.77 / (2 * 3.14) = 4.9

half of free-throw circle area: πr² / 2 = (3.14 * 4.9²) / 2 = 37.69    (≈ 38 ft²)

Can You answer this word problem?

Answers

Answer:78

Step-by-step explanation:

“When in doubt, write it out.”

We could display this algebraically. Let's call the initial number of people on the boat .

So,

−26+22=74

Then let’s combine like terms, -26+22 = -4.

⟹−4=74

Add 4 to each side…

⟹=78

Can someone please help me

Answers

Step-by-step explanation:

it is a simple addition and subtraction sequence :

10 + 0 + -21 + 14 = 3

since the result is positive, it is overall a gain.

if the result were negative, it would be an overall loss.

so, he had an overall gain of 3 yards.

Write an equation in Point-Slope Form for the given information.

m=4/5;(2,0)

Answers

Answer:

y-0 = 4/5(x-2)

Explanation:

0 is the y point so it goes in the y-y1 spot. The m or the slope goes into the m spot by the parenthesis. The 2 goes into the spot of the m-m1. One thing that is important is that when plugging in the point into the equation is to always put in the inverse. So if 3 was the y point, the equation would be y-3, if it was a negative point it would be, y + 3.

I need help with this

Answers

Answer:

x = 27

Step-by-step explanation:

this problem is similar to a scale drawing where we can set up a proportion:

'x' is to 5 as 162 is to 30

x/5 = 162/30

cross-multiply:

30x = 810

x = 810/30

x = 27

Answer:

x=27

Step-by-step explanation:

At a certain restaurant, 5 sandwiches and 7 burritos will cost $57.40. In addition, 4 sandwiches and
2 burritos cost $32.60. Assuming that we are talking about the same sandwiches and burritos, what
is the cost of 1 sandwich? What is the cost of 1 burrito? Let x represent the cost of a sandwich
and y represent the cost of a burrito. Show ALL work!
Equation #1:
Equation #2:
Cost of 1 sandwich:
Cost of 1 burrito:

Answers

Answer:

sandwich: $6.30burrito: $3.70

Step-by-step explanation:

The two relations can be written in general form using the given variable definitions as ...

  5x +7y -57.40 = 0

  4x +2y -32.60 = 0

The solution using the cross-multiplication method is ...

  d1 = (5)(2) -(4)(7) = 10 -28 = -18

  d2 = (7)(-32.60) -(2)(-57.40) = -228.20 +114.80 = -113.40

  d3 = (-57.40)(4) -(-32.60)(5) = -229.60 +163 = -66.60

  x = d2/d1 = -113.40/-18 = 6.30

  y = d3/d1 = -66.60/-18 = 3.70

The cost of 1 sandwich is $6.30.

The cost of 1 burrito is $3.70.
_____

For more about the cross-multiplication method of solving systems of equations, see ...

  https://brainly.com/question/26397343

please help 5 POINTS THIS TIME SORRY MIGHT BE DOING A GIVE AWAY GIVING BRAINLIEST​

Answers

Volume of 1st box:

[tex]3 \times 5 \times 8 = 120ft ^{3} [/tex]

Volume of 2nd box:

[tex]3 \times 5 \times 4 = 60ft ^{3} [/tex]

Combined volume:

[tex]120 + 60 = 180ft ^{3} [/tex]

6*7=5*7 PLEASE HELP ME I NEED HELP

Answers

Answer:

Step-by-step explanation:

we simply the both sides:

6*7=5*7 |:7

So: 6=5 is remained. So I guess you’ll have to write it in this way:

6≠5.

the link don't work just tell me the answer

Answers

Answer:

6/8 = 12/18

Step-by-step explanation:

hope this helps :D

Which expression is equivalent to 1+2(x - 1)?

A:3x - 3
B: 3x - 1
C:2x - 1
D:2x

Answers

C is the correct answer

Answer:

D:2x

Step-by-step explanation:

acc, to BOADMAS rule we have to first multiple then add

so , 1+2(x-1)

=> 1+2x-1

=> 2x

Which values from set 1,2,3,4,5 make the inequality true n + 2 < 6

Answers

Answer:

1, 2, and 3

Step-by-step explanation:

You can simplify n+2<6 by subtracting 2 from both sides to get n<4. Now you just select all options less than 4 which include 1, 2, and 3. The reason 4 is not a solution is because it is equal to, but not less than, 4. Sense 5 is greater than 4 it is not a correct answer either.

Which description below the equation
X/4=55

Answers

x/4 = 55

=> x = 55 × 4

=> x = 220

Answer:

x = 220

Step-by-step explanation:

220 divided by 4 = 55

or

55 x 4 = 220

...

Help Please! Will Make Brainliest!

Gilligan sees a ship coming close to the shore he’s standing on.

he wants to determine the distance (segment SD) from the ship to the shore.

he walks 130ft along the shore from point D to point C and marks the spot.

then he walks 23ft further and marks point B.

he turns 90° and walks until his location (point A), point C, and point S are collinear.


Answer the following questions making sure to show all your work.


(A) can Gilligan conclude that triangle ABC and triangle SDC are similar? why or why not?


(B) suppose AB = 150ft. what is the distance from the ship to the shore? show all your work and round your final answer to the nearest tenth of a foot.

Answers

a. Based on the AA similarity theorem, Gilligan can conclude that, ΔABC ~ ΔSDC.

b. To the nearest tenth of a foot, the distance from the ship to the shore is: 847.8 ft.

What are Similar Triangles?

The ratios of the corresponding sides of two triangles that are similar are equal.

Two triangles with two pairs of congruent angles are similar to each other based on the AA similarity theorem.

a. In ΔABC and ΔSDC, there are two pairs of congruent angles - ∠DCS ≅ ∠BCA (vertical angles) and ∠ABC ≅ ∠SDC (right angles)

Therefore, based on the AA similarity theorem, Gilligan can conclude that, ΔABC ~ ΔSDC.

b. AB = 150 ft

Distance from the ship to the shore = SD = ?

DC = 130 ft

CB = 23 ft

Thus:

AB/SD = CB/DC

Substitute

150/SD = 23/130

SD = (150×130)/23

SD = 847.8

Thus, to the nearest tenth of a foot, the distance from the ship to the shore is: 847.8 ft.

Learn more about similar triangles on:

https://brainly.com/question/11899908

Other Questions
What is one reason Shakespeare most likely wrote in iambic pentameter? O A. To make the play more difficult to read B. To create a pattern more like natural speech C. To confuse the audience OD. To create tension To produce a net force on a system, must there be an externally applied net force?. Can someone please help me? What fractional part of one semicircle does the labeled angle represent? Express your answer as a fraction in simplest terms. Then, express the labeled angle in radian measure. What is the best definition of the word concocter as used in the following context?For the writing of detective stories there are very definite laws--unwritten, perhaps, but none the lessbinding: and every respectable and self-respecting concocter of literary mysteries lives up to them.creatorreadero editoro literary critic please, what is the correct answer? name the points, lines and planes in the given figure. It is a scientific fact that facial appearance is a reliable predictor of character. True false. What health consequence of tobacco use does this video primarily address?the risk of acquiring a deadly disease due to smokingthe dangers of smoking to a developing baby during pregnancythe symptoms of a chronic condition caused by cigarette smokingthe negative impact of smoking on a teenagers physical development Which step should come next?Read the steps in identifying a claim.1. Read the argument.2. Identify the topic of the argument.3. Determine what the author believes about the topic.O Read about the author's background.Find opposing arguments for the sake of comparison.O Think about what you already know about the topic.O Locate a statement that explains the author's opinion. Part D I need answer asap Now, you'll analyze how the text's structure helps the author achieve his purpose. Present your analysis in a paragraph byfollowing these steps:1. Make a statement that identifies the author's choice of text structure and how it contributes to the overall purpose.2. Support your statement with evidence from the text.3. Explain how the evidence supports your statement. The area of the triangle issquare centimeters. 3) The Cherokee Indian Reservation is nearest to which location?A) Soco GapB) Balsam MountainC) Sugarland MountainD) Oconaluftee Visitor Center 13 of 12010 83%The total mass of the reactants isequal to the total mass ofproducts. This is known as theconservation of what?Enter your answer Help me please please please Analyze the role coefficients in a chemical reaction play in stoichiometry At the beginning of the month we had a current account of 467. After withdrawing five identical amounts from the account, we were left with 88. How Much Money Do We Make Every Time? The war on the Western Front was at a stalemate by 1916. What was the effect of this development?The British were able to take German territory.The Germans were able to gain the advantage.Neither side was able to make progress in the war.The French suffered fewer casualties than the Germans. GIVING BRAINIEST IF CORRECT!!!! What type of wave squeezes together andpulls apart?A. longitudinal waveB. transverse wavesC. seismic wavesD. electromagnetic waves