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

Jaylen is picking berries. The number of blueberries he picks is 4 less than half the number of strawberries he picks. If Jaylen picks x strawberries, select the expression that represents the number of blueberries he picks.

A. 2x + 4

B. x/4 +2

C. x/2 - 4

D. x/2 +4​

Answers

The answer is:
C. x/2-4

Hope this helps!!

The expression that represents the number of blueberries he picks would be; 1/2x - 4

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that  the number of blueberries he picks is 4 less than half the number of strawberries he picks.

4 less than half the number of strawberries means;

1/2x - 4

If Jaylen picks x strawberries, then the expression that represents the number of blueberries he picks would be;

1/2x - 4

The correct option is C.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

Which of the expressions is equivalent to the expression 4(x+5)+3?

A. 4•x•4•5+3
B. 4•x+4•5+3
C. 4•x•3+4•5+3
D. 4+x+4+5+3
E. Other

Answers

It’s equation B I’m pretty sure

What's an ogive graph, an example as well please? Helppp I'm learning statistics and I have no idea what that is ;-;

Answers

An ogive graph serves as a graphical representation of the cumulative relative frequency distribution for quantitative variables. In other words, these graphs plot the percentile on the y-axis and the quantitative variable on the x-axis. An Ogive is connected to a point on the x-axis, that represents the actual upper limit of the last class, i.e.,( 80.5, 0) Take x-axis, 1 cm = 10 marks. Y-axis = 1 cm – 10 c.f. There are two types of ogives : Less than ogive : Plot the points with the upper limits of the class as abscissae and the corresponding less than cumulative frequencies as ordinates. Ogives are useful for determining the median, percentiles and five number summary of data. Remember that the median is simply the value in the middle when we order the data. A quartile is simply a quarter of the way from the beginning or the end of an ordered data set.

I know this is a lot but this will help you understand.

Solve for d.

2d = 6 + 3d

p.s the virus bots of brainly your not slick no one is falling for it

Answers

Answer:

D = -6

Step-by-step explanation:

2d= 6 + 3d

Subtract 3d from each side

-d =6

divide by a -1

d = -6

Answer:

d=(-6)

Step-by-step explanation:

2×(-6)=(-12)=6+(3×(-6))

Please help me with this math

Answers

The answer must be 2.333333333 × 10^5
So using bidmas
B=brackets
i= indices
D= division
M=multiplication
A= addition
S= subtraction
7x10000/5x100/6x1
7x10000=70000/500/6
70000/500=140/6= 23.33

Someone please help me which one is it, and explain

Answers

Answer:

C. 11 customers

Step-by-step explanation:

The pattern is that it rises or goes up by 2 in the y axis, it runs or goes to the right once in the x-axis.

-3(w+4)=4w-5
solve for w

Answers

Answer:

W = -1

Step-by-step explanation:

a girl bought 14/3 kilogram of onion at the market which she put in 7 bags each holding an equal quantity. How many pounds of onions were in each bag?

Answers

Answer:

.66 are in each bag.

Step-by-step explanation:

14/3 = 4.66666666667

then you grab the answer for 14/3 and divide by 7

this in turn will get you .66 repeated

so .66 of a pound is in each 7 bags.

Which equations are correct?

Select each correct answer.




−4b^4(5b^2+6)=−20b^8−24b^3

−5x^3(3x^3+2)=−15x^9−10x^3

−3y^5(2y^3+3)=−6y^8−9y^5

−2c^6(5c^3+6)=−10c^9−12c^6

Answers

Answer:

3y^5(2y^3+3)=−6y^8−9y^5

−2c^6(5c^3+6)=−10c^9−12c^6

are the correct equations.

Step-by-step explanation:

If you simply all these equations you will get following equations :

when bases are same and are in multiplication we add the exponents.

−4b^4(5b^2+6)=−20b^6−24b^4

−5x^3(3x^3+2)=−15x^6−10x^3

−3y^5(2y^3+3)=−6y^8−9y^5

−2c^6(5c^3+6)=−10c^9−12c^6

so equation 3 and 4 are correct.

-4 times what equals 3x ?

Answers

Answer:

[tex]\large\boxed{\tt-\frac{3}{4} x}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to identify the missing number for our equation.}[/tex]

[tex]\textsf{First, we should translate our \underline{word form} equation into \underline{numerical form}.}[/tex]

[tex]\tt \underset{-4}-4 \ \underset{\times}{times} \ \underset{?}{what} \ \underset{=}{equals} \ \underset{3x}{3x}?}[/tex]

[tex]\tt -4 \times \ ? = 3x[/tex]

[tex]\large\underline{\textsf{Identifying Ways of Solving;}}[/tex]

[tex]\textsf{We know that the unknown value is multiplied by -4 to equal 3x.}[/tex]

[tex]\textsf{-4 will equal the quotient of 3x and the unknown number.}[/tex]

[tex]\textsf{Hence, the unknown number will equal the quotient of 3x and 4.}[/tex]

[tex]\large\underline{\textsf{Solving For the Unknown Number;}}[/tex]

[tex]\tt \frac{3x}{-4} = Unknown \ Number[/tex]

[tex]\underline{\textsf{Multiply the Numerator and Denominator by the Reciprocal of -4;}}[/tex]

[tex]\textsf{The Reciprocal is a fraction where the numerator and denominator flip.}[/tex]

[tex]\tt Reciprocal \ of \ -4 \ is; -\frac{4}{1} \rightarrow \boxed{-\frac{1}{4}}[/tex]

[tex]\mathtt{ \frac{-\frac{1}{4} \times3x}{-\frac{1}{4} \times -4} \rightarrow \frac{\frac{-3}{4}x }{1} \rightarrow \large\boxed{\tt-\frac{3}{4} x}}[/tex]

Match the proper noun to the common noun.


1. Uncle Peter
automobile
2. January
president
3. Jesse Owens
relative
4. William Shakespeare
author
5. Sunday
athlete
6. Abraham Lincoln
month
7. Chrysler
day
X

Answers

uncle peter-relative

january-month

jesse owens-athlete

william shakespeare-author

sunday-day

chrysler-automobile

. Order these numbers in Descending order 28.3 1 28 3 5V25 25 4 nswer:​

Answers

Answer:

28.3 28 25 5 4 3 1

Step-by-step explanation:

What is that V there for? I can fix answer if needed

Help me please help me help help me

Answers

Answer:

B

Step-by-step explanation:

2x6=12+1=13

4x6=24+1=25

2×x=2x+1=(2x+1)

Between P.M. and A.M.​, the water level in a swimming pool decreased by 12/25 inches
. Assuming that the water level decreased at a constant​ rate, how much did the water level drop each​ hour?

Answers

Answer:

12/25

Step-by-step explanation:

(-5.4, 4.7) and (0.6, 4.7) find the unit

Answers

Answer: 6 units

Step-by-step explanation:

|-5.4| + |0.6|

5.4 + 0.6 = 6 units

Just identify if this is rational or not :))

Answers

Answer:

it is i think :(

Step-by-step explanation:

Find the value of f(3)

Answers

Answer:

3f

Step-by-step explanation:

Use the commutative property to reorder the terms.

Somebody answer how does financial services eg banking contribute to the economy?

Answers

Answer:

Banks play an important role in the economy by offering a service for people wishing to save. Banks also play an important role in offering finance to businesses that wish to invest and expand. These loans and business investment are important for enabling economic growth.

The financial services sector is the primary driver of a nation's economy. It provides the free flow of capital and liquidity in the marketplace. When the sector is strong, the economy grows, and companies in this industry are better able to manage risk.

Step-by-step explanation:

I need some help with y = tan(x − π/4 ) + 1

Answers

thats the graph for it hope it helps

What is the correct number form for “seven and eighty-three thousandths?”
7.083
7.83
7.803
7.830

Answers

Answer:

7.083

Step-by-step explanation:

well there's the ones place, tenths, hundredths, and thousandths. easy math, unless i'm stoopid and this is wrong :D

7.830 is the correct answer for that question

determine 1/60 of 1/60 of an hour​

Answers

Answer:1 second.

1/60 of an hour is a minute so 1/60 of a minute is a second

please try to help answer and explain pls

Answers

Answer:

B

Step-by-step explanation

TIENES QUE SIEMPRE FIJARTE EL DE ABAJO Y DESPUES EL DE ARRIBA

EN PLAN LA LINEA QUE PASA POR EL EJE

I WILL GIVE CROWN
Jim has a bank account balance of −$15.46. As soon as he realizes this, he deposits $25.50 in the account.

What is Jim's bank account balance after the deposit is made?

Enter your answer in the box.

$

Answers

Answer:

the answer would be 773/1275 if your dividing if its multiplying its -394.24

Answer:

I know I'm late to answer this but the its 10.04 I hope this helps :D

Step-by-step explanation:

question 10. please i didnt listen to the lecture please help

Answers

Answer:

I wrote the answers in the screenshot

Hi, I really need help on this, please help me, no scam links.

Answers

Answer:

560 cm^3

Step-by-step explanation:

To find volume you will have to multiply all three, length, width and height of an object to determine the answer.

In this problem, 7 cm * 20 cm * 4cm = 560 cm^3

(a−2b)3 when a=−4 and b=−1/2

Answers

Answer:

-9

Step-by-step explanation:

(-4-2*-1/2)3

(-4+1)3

-3*3

-9

Answer:

-27

Step-by-step explanation:

Hi there!

[tex](a-2b)^3[/tex]

Plug in the given information:

[tex](-4-2(\displaystyle -\frac{1}{2} ))^3\\\\(-4-(\displaystyle -\frac{2}{2} ))^3\\\\(-4+1)^3\\\\(-3)^3\\\\-27[/tex]

I hope this helps!

8-15/3+4*5
evaluate.

Answers

Answer:

23

Step-by-step explanation:

4*5 =20

15/3 = 5

8-5 = 3

3+20=23

8(-15/3)+(4*5)

Ventamo has 72 jars of strawberry jam, and 32 jars of raspberry jam. He wants to place the jam into the greatest possible number of boxes so that each box has the same number of jars of each kind of jam. How many boxes does he need?

Answers

8 boxes

Step-by-step explanation:

Start with a proportion

32/72

reduce

4/9

so now

4 jars of raspberry and 9 strawberry times 8 for the total number

so

8 boxes

The Earth rotates at a unit rate of
.25 degrees per minute. How much
does the earth rotate in half of an
hour?

Answers

Answer:

it will rotate 7.5 degrees

Step-by-step explanation:

Let U be the set of whole numbers from 5-10 inclusive. Set A= {5, 7, 9}, Set B = {5, 8, 10}. AU~B <---------

Answers

Answer:

Suppose the universal set is U = all whole numbers from 1 to 9. If A = {1, 2, 4}, then Ac = {3, 5, 6, 7, 8, 9}. As we saw earlier with the expression Ac ...

Let U be the set of whole numbers from 5-10 inclusive. Set A={5, 7, 9 ...

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