The sum of two numbers is 7 and the difference of their squares is 105. Find the numbers. If there
In simplest form.
more than one pair, use the "or" button. Give the answer
In simplest form

Answers

Answer 1

Answer:

11 and -4

Step-by-step explanation:

Let the required two numbers be x and y

If the sum of two numbers is 7, then

x + y = 7 .. 1

If the difference of their squares is 105, then;

x² - y² = 105 ...2

From 1;

x = 7 -  y... 3

Substitute 3 into 2;

(7-y)² - y² = 105

Expand

49-14y+y² -y² = 105

49-14y = 105

-14y = 105 - 49

-14y = 56

y = -56/14

y = -4

Substitute y = -4 into 3

x = 7 -  y... 3

x = 7 - (-4)

x = 7+4

x = 11

Hence the numbers are 11 and -4


Related Questions

Can some one please explain how to do this? 1.253 x 7.4 =

Answers

Answer:

9.2722

Step-by-step explanation:

7.400

*1.252

_____

9.2722

Its simple, plz rate 5 str, thx, and brailiest

five billion, twenty-four million, five and six thousandths

Answers

Answer:

5,024,000,005.006

Step-by-step explanation:

This is the standard form of five billion, twenty-four million, five and six thousandths.

standard form for five billion 24,000,005 and 6000s

HELPPP WIILLLL MAKR BRAINLIEST IF RIGHTTTT

Answers

Answer:

I think the answer is letter B

Answer:

4π yd²

Step-by-step explanation:

Area of a circle = πr²

πr²=4π

r²=4

r=2

Circumference of a circle = 2πr = 2π(2) =4π

What’s the correct answer for this question?

Answers

Hopes this helps:

Answer: D.

1. Simplify 12/18 to 2/3.
2/3 = 16/24


2. Simplify 16/24 to 2/3.
2/3 = 2/3


3. Some both sides equal, there are infinitely many solutions.

Write a function to describe the following scenario.
Emily plants a rosemary bush that starts at 5
centimeters in height and grows 3 centimeters
per year. How high will the rosemary be after a
certain number of years?
y = [?]x +

Answers

Answer:

y(x) = 3x + 5

Step-by-step explanation:

Since the rosemary grows by the same number of centimeters each year, this situation is modeled by a linear function.

Height starts at 5 meters and grows 3 centimeters per year.

This means that the height after a certain number of years, represented by x, is given by:

y(x) = 3x + 5

There are 3 flag stamps and 7 follower stamps in Noelle’s stamp collection. What is the ratio of flower stamps to flag stamps

Answers

Answer:

3:7 or 3/7

Step-by-step explanation:

if it helps don't forget to like and mark me

In the geometric sequence below, what is the common ratio?

Sequence: 64,16,4,1

Answers

9514 1404 393

Answer:

  1/4

Step-by-step explanation:

The common ratio is the ratio of successive terms:

  16/64 = 4/16 = 1/4

The common ratio is 1/4.

A. x = 44 and y = 43
B. x = 43 and y = 44
C. x = y = 90
D. x = 89 and y = 91

Answers

Answer: correct answer choice is B

Step-by-step explanation:

did it on math nation

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

∠EFC and ∠DCF

∠BCF and ∠GFC

Step-by-step explanation:

giving 10 brainlist to whoever gets it RIGHT​

Answers

0.001276 is the correct answer!10 x 10 x 10 x 10 x 10 = 100,000127.6 ÷ 100,000 = 0.001276Please let me know if I am wrong.

Answer:

.001276

Step-by-step explanation:

127.6 ÷ 10^5

Dividing by 10^5 means we are moving the decimal 5 places to the left

We need to add zeros in front of the number to move it to the left

00127.6

Now move it 5 places

.001276


Answer will be a fraction.
A group of coins is shown below.
What is the probability and its
complement of randomly
selecting a nickel?


Answers

Answer:

1/3

Step-by-step explanation:

3 out of the nine coins are nickels, when that is simplified your fraction becomes 1/3

A square has an area of 148.84m2.
Work out the perimeter of the square

Answers

Answer:

48.8m

Step-by-step explanation:

Formula for square area = [tex]a^{2}[/tex] = 148.84 [tex]m^{2}[/tex]

=> a = [tex]\sqrt{148.84}[/tex] = 12.2

Formula for square perimeter = 4a = 4 x 12.2 = 48.8 m

The perimeter of the given square is 48.8 m.

What is perimeter of a square?

The perimeter of any closed geometrical object is defined as the distance around that object. The perimeter of a square is the distance covered by its four sides.  Perimeter surrounds or outlines the shape in a two-dimensional plane.

Since all the sides of a square are equal, therefore, the perimeter of square will be 4 times its side, i.e. 4 × Side. It is measured in units, such as m, cm, in, ft, etc.

According to question,

Given area of a square = 148.84 m²

We all know that,

Area of a square = (Side)²

⇒ (Side)² = 148.84 m²

⇒ Side = √(148.84 m²)

⇒ Side = 12.2 m

Therefore, perimeter of the given square = 4 × Side

                                                                     = 4 × 12.2

                                                                     = 48.8 m

Hence the perimeter of a square = 48.8

To learn more on perimeter of a square click :

https://brainly.com/question/5602071

#SPJ2

Malia owns 1 out of 3 gas stations in Jasper. In Webster, Abby owns 6/25 of the gas stations. Who owns a greater fraction of gas stations in her area?

Malia or Abby?

Answers

Answer:

I think it would be Malia but if I'm wrong please let me know.

Can someone help? Please? Thanks:)

Answers

Read the procedural text.

Plain Taffy

3.5 lbs. white sugar

2 cups water

1 teaspoon cream of tartar

Put the sugar and water in a clean pan. Heat mixture over medium-high heat, stirring occasionally until melted. Continue heating to a slow boil.

Add the cream of tartar and put a lid on the pan. Allow mixture to boil in this way for ten minutes.

Remove the lid and immerse a candy thermometer in the boiling liquid. Boil to 310 degrees.

Quickly remove pan from heat and pour contents into oiled frames, tins, or onto a pouring slab.

Cut into bars or squares with a knife or taffy cutter while still warm.

Allow taffy to cool before eating.  so the answer is A

Change 1 hour 25 minutes 29 seconds to seconds

Answers

Answer:

remember

1h=60min

1min=60 sec

now come to the question

1h=60min

1min=60 sec

60min=60×60=3600sec in 1hour

25min=60×25=1500sec in 25 min

total all sec=3600+1500+29=5129sec

Step-by-step explanation:

Answer:

5129

Step-by-step explanation:

So first we know we have 29 seconds then we know there is 60 seconds in a minute so I'm going to take 60 times 25 which equals 1500 so right now I have 1529 seconds I also know that there is 60 minutes in 1 hour so I'm going to do 60 times 60 which is 3600 so now I'm going to add all my seconds together 1500 + 3600 = 5100

Please read "The lost ship" on storyworks.

1)Read the headline. What does it suggest the article will be about?!?

2) Look at the photos or illustrations. Choose one to examine. What page or paragraph is it on? What does the picture show? What do you learn from the picture

3) Choose another photo or illustrations to examine. What page or paragraph is it on? what does the picture show? What do you learn from the picture and caption?

4) Does the article have map?

if yes, what place does it show?

Please help please please please please please please please please please.
​​

Answers

1. it suggests the article could be about the tale of a lost ship, how it became lost, or how it is doing now.
2. could you please provide a picture
3.again, we cannot see a picture
4. we cannot see if the article has a map

What is the answer no link I will report and banned you

Answers

25% is the correct answer!1,000 ÷ 4,000 = 0.250.25 = 25%

A bike store sells scooters at a 54% markup. If the store bought each scooter for $29.25, what is the resale price to the nearest dollar? Show your work

Answers

9514 1404 393

Answer:

  $45

Step-by-step explanation:

The relation is ...

  resale price = cost + markup

  = cost + 0.54×cost

  = 1.54×cost

Then the resale price is ...

  resale price = 1.54×29.25 = 45.045 ≈ 45.00

The resale price is $45.00.

match each term with its definition,

Answers

Answer:

Population-1

Sample- 2

Simulation-4

biased sample- 3

Coach Elyson claims that 90% of her volleyball serves are good serves. The captain of the team thinks Coach Elyson has a lower rate of good serves. To test this, 50 of the coach's serves are randomly selected and 41 of them are good. To determine if these data provide convincing evidence that the proportion of Coach Elyson's serves that are good is less than 90%, 100 trials of a simulation are conducted. The team captain's hypotheses are: H o: p = 90% and H a: p < 90%, where p = the true proportion of Coach Elyson's serves that are good. Based on the results of the simulation, what is an estimate of the P-value of the test? ​

Answers

Answer:

The correct answer is: 2%

Step-by-step explanation:

Took the quiz

4/7(21/8 x + 1/2) = -2(1/7 - 5/28x)
What is x in decimal form?

Answers

Answer:

x=[tex]1.22930[/tex]

Step-by-step explanation:

47(218 x+12 ) =−2(17 −528 x)

Simplify 47(218 x+12 ) :    327(21x+4) 327(21x+4) =−2(17 −528 x)

Multiply both sides by 7(21x+4)

327(21x+4) · 7(21x+4)=−2(17 −528 x)· 7(21x+4)

Simplify, 32=−14(17 −528 x)(21x+4)

Solve  32=−14(17 −528 x)(21x+4):    x=32+4√589105 , x=32−4√589105 x=32+4√589105 , x=32−4√589105

Answer:

x = 0.5

Step-by-step explanation:

[tex]\frac{4}{7}(\frac{21}{8}x + \frac{1}{2}) = -2(\frac{1}{7} - \frac{5}{28}x)[/tex]

[tex]1\frac{1}{2}x + \frac{2}{7} = - \frac{2}{7} + \frac{5}{14}x[/tex]

[tex]1\frac{1}{2}x - \frac{5}{14}x + \frac{2}{7} = - \frac{2}{7} + \frac{5}{14}x - \frac{5}{14}x[/tex]

[tex]1\frac{1}{7}x + \frac{2}{7} = - \frac{2}{7}[/tex]

[tex]1\frac{1}{7}x + \frac{2}{7} - \frac{2}{7} = - \frac{2}{7} - \frac{2}{7}[/tex]

[tex]1\frac{1}{7}x = - \frac{4}{7}[/tex]

[tex]\frac{1\frac{1}{7}x}{1\frac{1}{7} } = \frac{- \frac{4}{7}}{1\frac{1}{7} }[/tex]

[tex]x = -\frac{1}{2}[/tex]

50 POINTS Vanessa has 6 dimes and 2 pennies. Joachim has 1 dollar, 3 dimes, and 5 pennies. Jimmy has 5 dollars and 7 pennies. They want to put their money together to buy a game that costs $8.00. Do they have enough money to buy the game? If not, how much more money do they need? SHOW WORK

Answers

Vanessa: a dime = 10 cents = 0.10

A penny = 1 cent = 0.01

6 x 0.10 = 0.60

2 x 0.01 = 0.02

Total = 0.60 + 0.02 = 0.62

Joachim : a dollar = 1.00

3 x 0.10 = 0.30

5 x 0.01 = 0.05

Total = 1.00 + 0.30 + 0.05 = 1.35

Jimmy: total = 5.00 + 0.07 = 5.07

Total of all 3: 0.62 + 1.35 + 5.07 = $7.04

This is less than $8 so they don’t have enough.

They need: 8.00 - 7.04 = $0.96 more

Answer:they need more money

Step-by-step explanation: they need 96 more cents

I need them all in about five minutes, please help me no BS I’m giving you 50 points.

Answers

Answer: 1 is 5.7

2 is 21.75

3 is 8.8

Step-by-step explanation:

here ya go

Can someone help me pls I’m stuck

Answers

Answer:

Given quadrilateral can't be inscribed in a circle.

Step-by-step explanation:

Property of a cyclic quadrilateral,

Sum of opposite angles of a cyclic quadrilateral is 180°

If the given quadrilateral fulfills this property, it can be inscribed in a circle.

From the given quadrilateral,

Sum of opposite angles = 168° + 22°

                                        = 190°

Therefore, answer is NO.

Given quadrilateral can't be inscribed in a circle.

Find the surface area of the prism below.



Square meters

Answers

Answer:

loluuuhsjsjzjjnsjs

Step-by-step explanation:

bzisjsjxjshsusud773938

Okay Ju|ian Foley simplifies this polynomial and then write it in standard form if Ju|ian wrote it the last term

Answers

Answer:

the second choice

Step-by-step explanation:

Under her cell phone plan, Nevaeh pays a flat cost of $46.50 per month and $5 per gigabyte, or part of a gigabyte. (For example, if she used 2.3 gigabytes, she would have to pay for 3 whole gigabytes.) She wants to keep her bill under $55 per month. What is the maximum whole number of gigabytes of data she can use while staying within her budget?

Answers

Answer:

She can only use one gigabite.

Step-by-step explanation:

Answering must find the inequalities

Step-by-step explanation:

Determine what type of solution the following equation has: 3(x-1)+5=3x+2

- No solution
- One solution
-Infinitely Many solution

Answers

If I’m not wrong it’s one solution because the sum of 3(x-1)+5=3x+2 is 0

Hope this helps!

Please answer correctly math problemo #4

Answers

Answer:

4/3 or 1 + 1/3

Step-by-step explanation:

To divide fractions, we take the reciprocal of the second fraction and multiply that by the first. The reciprocal of 1/2 is 2. 2 multiplied by 2/3 is 4/3, which can also be represented as 1 and 1/3

Imagine you are the teacher. Explain how you would walk your student through this problem to answer this problem step by step.

Two hikers leave a cabin at the same time, one heading due south and the other headed due west. After one hour, the hiker walking south has covered 2.8 miles and the hiker walking west has covered 3.1 miles. At that moment, what is the shortest distance between the two hikers?

Answers

Answer:

Due south and due west form a right angle, and the shortest distance between any two points is a straight line. Therefore, we can apply the Pythagorean theorem and write:

3.12+2.82=x2

Here, you will need to use a calculator to simplify the left-hand side:

17.45=x2

Now use your calculator to take the square root. You will likely need to round your answer.

x=17.45−−−−√≈4.18 miles

As you can see, it will be up to you to determine that a right angle is part of the situation given in the word problem. If it isn’t, then you can’t use the Pythagorean theorem.

Step-by-step explanation:

this is my explanation

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