given that x^2+y^2=9 and xy=5, find the value of (x - y)^2. ​

Answers

Answer 1

Answer:

[tex](x -y)^2 = -1[/tex]

Step-by-step explanation:

[tex](x - y)^2 = x^2 + y^2 - 2xy[/tex]

           [tex]= (x^2 + y^2 ) - 2(xy)\\\\=(9) - 2( 5)\\\\= 9 - 10 \\\\ = -1[/tex]

Answer 2
Solution:

The binomial expansion of (x - y)² is

(x - y)² = x² - 2xy + y²

Substitute the given values to the equation

(x - y)² = x² - 2xy + y²

(x - y)² = x² + y² - 2xy

(x - y)² = 9 - 2(5)

(x - y)² = 9 - 10

(x - y)² = -1

Therefore the value of (x - y)² is -1.

#ILoveMath

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Related Questions

20 POINTS!!!!!! Answer 1-16 Hurry no work just answer needed

Answers

1. Alternate angle

2. Alternate exterior angle

3. Corresponding angle

4. Vertical angle

5. Consecutive angle

6. Alternate exterior angle

7. x = 110°

8. x = 70°

9. x = 60°

10. x = 130°

11. x = 53°

12. x = 60°

13. x = 30°

14. x = 65°

15. x = 24°

16. x = 174°

hope this helps....

what does it mean when someone tells you on a post “extra swag”

Answers

Answer:

Swag actually means stylish and confident

A number, one-fourth of that number, and one-third of that number are added. The result is 38. What was the oringnal number?

Answers

Answer:

24

Step-by-step explanation:

x + (1/4)x + (1/3)x = 38

multiply both sides by 12 to clear the fractions

12x + 3x + 4x = 456

19x = 456

Divide both sides by 19

x = 24

Answer:

24

Step-by-step explanation:

x+1/4x+1/3x=38

x+7/12x=38

19/12x=38

x=38*12/19=24

solve x and y simultaneously if:
[tex]y + 7 = 2x[/tex]
[tex] {x}^{2} - xy + {3y}^{2} = 15[/tex]

Answers

Answer:

make Y the subject in eqn........ 1

y + 7 = 2x

y = 2x - 7...........eqn 3

put y = 2x - 7 into eqn 2

x² - xy + 3y² = 15

x² - x(2x - 7) + 3(2x - 7)(2x - 7) = 15

x² - 2x² + 7x + 3(4x² + 14x -14x + 21) = 15

x² - 2x² + 7x + 12x² + 42x - 42x + 63 = 15

x² - 2x² + 7x + 12x² + 63 = 15

x² - 2x² + 12x² + 7x + 63 = 15

11x² + 7x + 63 - 15 = 0

11x² + 7x + 48 = 0

11x² + 7x = - 48

11x²/11 + 7x/11 = - 48/11

x² + 7x

What is the product of 2x+ 3 and 4x2 - 5x+ 6?

Answers

Answer:

8x³ - 25x² - 3x + 18

Step-by-step explanation:

(2x + 3)(4x²- 5x + 6)

multiply 2x by each of the three terms in the second expression to get:

8x³ - 10x² + 12x

now multiply 3 by each of the three terms in the second expression to get:

12x² - 15x + 18

Combine 'like terms': -10x² + (-15x²) = -25x²

Combine 'like terms':  12x + (-15x) = -3x

Put all terms in decreasing exponent order:

8x³ - 25x² - 3x + 18

I’m begging you too pls pls pls pls help! I’d appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and I’m just doing it today. Pls help thank you so so so much! Pls don’t waste time thanks again! (Pls help Asap!)

Answers

Answer:

his dad was cutting the grass for 1 hour and 4 minutes i hope this helps

Step-by-step explanation:

-19x+91=-19x+91−19x+91=−19x+91 how many solutions

Answers

Answer:

1 solution.

Step-by-step explanation:

So we can split this into to equations:

-19x+91=-19x+91−19x+91

And

-19x+91−19x+91=−19x+91

Then simplify them to:

19x=91

And

19x=91

The equations are identical, so we only need to solve one.

X = 91/19

X = 4.789

I believe this is right.

Stella is saving up to buy a new video game. She already has $15 and can save an additional $8 per week using money from her after school job. How much total money would Stella have after 8 weeks of saving? Also, write an expression that represents the amount of money Stella would have saved in w weeks .

Answers

Answer:

Part A;

$79

Part B;

The amount Stella would have saved in 'w' weeks = 15 + 8·w

Step-by-step explanation:

Part A

The amount of money Stella already has = $15

The amount she can save per week = $8

The total amount of money, 'A', Stella would have after 8 weeks is given as follows;

A = The amount Stella already has + The amount she can save per week × The number of weeks of savings

Therefore;

A = 15 + 8 × 8 = 79

The amount Stella would have after 8 weeks, A = $79

Part B

The expression that represents the amount of money Stella would have saved in w weeks is given as follows;

A = The initial amount Stella has + The amount she can save per week × w (number of weeks)

∴ A = 15 + 8·w.

Suppose the mean percentage in Algebra 2B is 70% and the standard deviation
is 8%. What percentage of students receive between a 70% and 94% Enter the
value of the percentage without the percent sign.
HELP PLEASE!!

Answers

Answer:

49.87%

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 70%

σ is the population standard deviation = 8%

a) For x = 70%

z = 70% - 70%/8%

z = 0

Probability value from Z-Table:

P(x = 70) = 0.5

b) For x = 70%

z = 94% - 70%/8%

z = 3

Probability value from Z-Table:

P(x = 94) = 0.99865

The probability of students that receive between a 70% and 94%

P(x = 94) - P(x = 70)

0.99865 - 0.5

0.49865

Therefore, the percentage of students that receive between a 70% and 94% is

0.49865 × 100

= 49.865%

Approximately = 49.87%

Match each system to the number the first equation can be multiplied by to eliminate the
x-terms when adding to the second equation.
10x - 4y = -8
2
-5x + 6y = 10

-2x + 6y = 3
4x + 3y = 9
1/2
3x - By = 1
6x + 5y = 12
-1/2
- 8x + 10y = 16
- 4x - 5y = 13
-2

Answers

Answer/Step-by-step explanation:

✔️10x - 4y = -8

-5x + 6y = 10

Multiply the first equation by ½ to eliminate the x-term

Thus:

½ × 10x - 4y = -8 (eqn 1)

5x - 2y = -4

✔️-2x + 6y = 3 (eqn 1)

4x + 3y = 9

To eliminate the x-terms when adding to the second equation, multiply the first equation by 2

Thus:

2 × -2x + 6y = 3

-4x + 12y = 6

✔️3x - 8y = 1 (eqn 1)

6x + 5y = 12

To eliminate the x-terms when adding to the second equation, multiply the first equation by -2

Thus:

-2 × 3x - 8y = 1 (eqn 1)

-6x + 16y = -2

✔️-8x + 10y = 16 (eqn 1)

-4x - 5y = 13

To eliminate the x-terms when adding to the second equation, multiply the first equation by -½

Thus:

-½ × -8x + 10y = 16 (eqn 1)

4x - 5y = -8

Answer:

Match each system to the number the first equation can be multiplied by to eliminate the x-terms when adding to the second equation.

8x + 10y = 16

-2

4x-5y = 13

2× + бу = 3

4x + 3у = 9

3x - 8y = 1

6x + 5y = 12

10x - 4y =-8

-5x + бу = 10

1/2

2

-1/2Step-by-step explanation:

the value of 1/2 ×3/5 is eqaul to​

Answers

Answer:

3/10

Step-by-step explanation:

=1/2 *3/5

= 1*3/2*5

= 3/10

hope it helps

a) Draw the graph of y = 4x - 1 on the grid. b) Use the graph to estimate the value of x when y = 1​

Answers

Hello,

a) photo attached

b) When y = 1, x ≈ 0.5

Verification through calculation :

We have :

y = 4x - 1

⇔ 1 = 4x - 1

⇔ 4x = 2

⇔ x = 2/4 = 0.5

This is just !

:-)

What is the y-intercept of function f?

Answers

Answer:

B

Step-by-step explanation:

When x=1, we will use the second equation

-(1)+1 = 0

Please help ill appreciate it

Answers

Answer:

B

Step-by-step explanation:

the area of the triangle is  18 square units

complete the solution of the equation find the value of y when x equals -11 5x+6y=-37

Answers

Answer:

x = - 11

y = 3

Step-by-step explanation:

5x + 6y = - 37

x = - 11

5( - 11) + 6y = - 37

- 55 + 6y = - 37

- 55 + 55 + 6y = - 37 + 55

6y = 18

6y ÷ 6 = 18 ÷ 6

y = 3

What is the inverse of the function below?
f(x) = -2
2.
O A F'(x) = 3(x+2)
OB. F'(x) = 2(x+3)
c. f'() = 3(x - 2)
D. F'(x) = 2(x - 3)

Answers

A is the answer because it turns into a negative

What is the value of h in the figure below? In this diagram,
BAD - CBD

Answers

Answer:

Option D

Step-by-step explanation:

By using geometric mean theorem in the given right triangle ABC,

[tex]\frac{AD}{BD}= \frac{BD}{DC}[/tex]

BD² = AD × DC

h² = (AC - CD) × DC

h² = (25 - 16) × 16

h² = 9 × 16

h = [tex]\sqrt{144}[/tex]

h = 12

Therefore, measure of side h = 12 units.

Option D will be the correct option.

Answer:

12 is correct via a p e x

Please help I’ll give brainliest

Answers

answer:

ans:

0.03 km³ = 0.03 × 10⁹ m³ = 3×10 m³6052 mL³ =6052×10^(-9) L³ = 6.052×10^(-6) L³5.43 cg³ = 5.43 × 10^(-6) g³ 2100m³ = 2100 × 10^(-9) km³ = 2.1 × 10^(-6) km³

Step-by-step explanation:

1000 m = 1 km

1000 mL = 1 L

100 cg = 1 g

can someone please help for brainlest

Answers

Answer:

The area will be 2 times the old area.

Step-by-step explanation:

When you double something, that means you multiply it by 2, therefor it will be 2 times the old area.

Answer:

option 3

Step-by-step explanation:

Length = 5 m, Base = 3 m

Area = Length x Base

       = 5 x 3

       = 15 m²

Base is double = 2 x 3 = 6 m

Length remains same = 5m

New Area = Length x Base

               = 5 x 6

               = 30 m²

The new Area is increase by 2 times the old Area .

need help please! i’m stuck

Answers

Answer:

Step-by-step explanation:

stuck under the bed??

lemme jus quickly pull you back....lol

Which sequence is arithmetic?
O 6, 12, 15, 21, ..
o 7, 14, 21, 36, ..
O 8, 16, 32, 64, ...
9, 18, 27, 36, ...

Answers

9, 18, 27, 36…
This is because the growth is linear. When you add 9, you get the next number in the sequence.

A country's population in 1994 was 21 million.
In 2001 it was 22 million. Estimate
the population in 2011 using the exponential
growth formula. Round your answer to the
nearest million.
P= Aekt
Enter the correct answer.
DONE
DOO
+1?

Answers

Answer:

Step-by-step explanation:

22 = 21 [tex]e^{7k\\}[/tex]

(22/21) = [tex]e^{7k}[/tex]

ln(22/21) = 7k ln(e)

ln(22/21) = 7k  

0.046520016 = 7k

k=0.006645717

~~~~~~~~~~~~~~~~

P = 21 [tex]e^{0.006645717*17\\}[/tex]

P = 23.51  

Help... A store owner collected data about the number of customers who came to the store in a day, y, for several days compared to the high temperature for that day, x. He found that the correlation coefficient was −0.76.

Answers

Answer:

strong, negative;

decreased

Step-by-step explanation:

A correlation coefficient that is close to 1, shows a strong association.

If the correlation coefficient is negative, it implies a negative association, meaning as one variable increases, the other decreases.

A positive correlation coefficient shows a positive association between two variables. This implies that as one variable increases, the other increases, or as one decreases, the other decreases as well.

In the case given, we are given that the correlation coefficient obtained is -0.76. This therefore shows a negative association. Also, the value is closer to 1.

This implies that there is a STRONG, NEGATIVE association association between x and y. This is because as the temperature (x) of the day increases across days, the number of customers who patronized the store DECREASED.


Please help I this sum...It’s prove that...

Went with explanation...

Will give Brainliest...

Answers

Step-by-step explanation:

[tex](1) \: \: \sqrt[3]{5} \times \sqrt[3]{ \frac{2}{5} } \times \frac{ \sqrt[3]{64} }{ \sqrt[3]{3} } \times \frac{ \sqrt[6]{9} }{ \sqrt[3]{2} } [/tex]

Note that the 1st two factors can be combined:

[tex] \sqrt[3]{5} \times \sqrt[3]{ \frac{2}{5} } = \sqrt[3]{5 \times \frac{2}{5} } = \sqrt[3]{2} [/tex]

We also know that the numerator in the 3rd factor can be rewritten as

[tex] \sqrt[3]{64} = 4[/tex]

And the numerator in the 4th term can be rewritten as

[tex] \sqrt[6]{9} =({( {3})^{2} })^{ \frac{1}{6} } = \sqrt[3]{3} [/tex]

So let's rewrite expression #1

[tex] \sqrt[3]{2} \times \frac{4}{ \sqrt[3]{3} } \times \frac{ \sqrt[3]{3} }{ \sqrt[3]{2} } [/tex]

Notice that all the radical terms cancel out except for 4 therefore,

[tex]\sqrt[3]{5} \times \sqrt[3]{ \frac{2}{5} } \times \frac{ \sqrt[3]{64} }{ \sqrt[3]{3} } \times \frac{ \sqrt[6]{9} }{ \sqrt[3]{2} } = 4[/tex]

A pharmaceutical company receives large shipments of ibuprofen tablets and uses an acceptance sampling plan. This plan randomly selects and tests 26 tablets, then accepts the whole batch if there is at most one that doesn't meet the required specifications. What is the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects

Answers

Answer:

0.7208 = 72.08% probability that this whole shipment will be accepted.

Step-by-step explanation:

For each tablet, there are only two possible outcomes. Either it meets the required specifications, or it does not. The probability of a tablet meeting the required specifications is independent of any other tablet, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

4% rate of defects

This means that [tex]p = 0.04[/tex]

26 tablets

This means that [tex]n = 26[/tex]

What is the probability that this whole shipment will be accepted?

Probability that at most one tablet does not meet the specifications, which is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

Thus

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{26,0}.(0.04)^{0}.(0.96)^{26} = 0.3460[/tex]

[tex]P(X = 1) = C_{26,1}.(0.04)^{1}.(0.96)^{25} = 0.3748[/tex]

Then

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.3460 + 0.3748 = 0.7208[/tex]

0.7208 = 72.08% probability that this whole shipment will be accepted.

help me with this please

Answers

Answer:

You would choose Merry Berry Fruit Punch.

Step-by-step explanation:

We need to see the ration of fruit to water. To do this we need to divide the concentrate by the water.

Tropic Fresh Fruit Punch: 10/22 or 5/11

Merry Berry Fruit Punch: 6/13

We see that Tropic Fresh Fruit Punch has a ratio of 5/11 while Merry Berry Fruit Punch has a ratio of 6/13. When we have a common denominater, we can see the difference easier.

Tropic Fresh Fruit Punch: 65/143

Merry Berry Fruit Punch: 66/143

Anthony worked to earn $25.00. Joyce worked for $8.00 per hour. If he earns $5.00 per hour, how many hours did Anthony work?

Answers

Answer:

5 hours

divide 25 by 5 you get 5

Write the equation of the line that passes through the point (4,−1) that is parallel to the line 2x−3y=9

Answers

First we find the slope of the line 2x−3y+8=0 by placing it into slope intercept form:

2x−3y+8=0

⇒−3y=−2x−8

⇒3y=2x+8

⇒y=  

3

2

x+  

3

8

 

Therefore, the slope of the line is m=  

3

2

.

Now since the equation of the line with slope m passing through a point (x  

1

,y  

1

) is

y−y  

1

=m(x−x  

1

)

Here the point is (2,3) and slope is m=  

3

2

, therefore, the equation of the line is:

y−3=  

3

2

(x−2)

⇒3(y−3)=2(x−2)

⇒3y−9=2x−4

⇒2x−3y=−9+4

⇒2x−3y=−5

Hence, the equation of the line is 2x−3y=−5.

Answer:

y=2/3x-11/3

Step-by-step explanation:

Hi there!

We are given the equation 2x-3y=9 and we want to write an equation that is parallel to it and that passes through (4,-1)

Parallel lines have the same slopes

So we need to first find the slope of 2x-3y=9

We can do this by converting the equation of the line from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)

To do this, we need to isolate y on one side

2x-3y=9

subtract 2x from both sides

-3y=-2x+9

divide both sides by -3

y=2/3x-3

as 2/3 is in the place where m is, 2/3 is the slope of the line

It's also the slope of the line parallel to it that passes through (4,-1).

Here's the equation of that line so far:

y=2/3x+b

now we need to find b

as the line will pass through the point (4,-1), we can  4 as x and -1 as y in order to solve for b

-1=2/3(4)+b

multiply

-1=8/3+b

subtract 8/3 to both sides

-11/3=b

Substitute -11/3 as b into the equation

y=2/3x-11/3

There's the equation

Hope this helps!

In parallelogram GHJK if m∡GHJ=140˚ find m ∡KGH.

Answers

Answer: m∠x = 40°

Step-by-step explanation:

This works the exact same way as the other one

Being adjacent angles in a parallelogram, the two angles would be supplementary (add up to 180°).

140° + x° = 180°

x = 40°

67 degrees because X equal 7 and nkdh

! Task 1. Bookwork code: G24 Calculator X not allowed Anthony has three number cards, as shown below. The minimum of the three cards is 6. The range of the three cards is 5. What is the mean of Anthony's three cards? Cards are 6, 7 and unknown​

Answers

Answer:

8

Step-by-step explanation:

In order to find the range you need to subtract maximum card number from the minimum card number. We know that the range is 5 and that the minimum card is 6 so we can set up the equation like this to find the maximum shown as x.

[tex]5=x-6[/tex]

Add 6 to both sides

[tex]11=x[/tex]

Now we know all the the numbers of the three cards Anthony has since we were given the minimum = 6, 7, and solved for the last card which was the maximum = 11. In order to find the mean we have to add all of the numbers then divide by how many numbers there are (in this case it will be 3):

[tex]mean=\frac{6+7+11}{3}[/tex]

Add 6+7+11

[tex]mean=\frac{24}{3}[/tex]

Divide by 3

[tex]mean=8[/tex]

Other Questions
Before she got her driver's license, seeing police cars and their flashing red lights did not bother Olive. But then she started driving and has been pulled over several times for speeding. Each time she was pulled over, first she saw the flashing red lights of the police car. Then she would be questioned by the police and given a ticket, which made her feel very tense and upset. Now whenever she sees a police car with its flashing lights on, she feels a little bit nervous, even if it is pulling over someone else. In this example, what is the CONDITIONED STIMULUS 1: Mt nh my khi u t K (n v: nghn USD), sn phm cn bin theo vn l Q(K) = 100K 1/3.Bit rng vi mc u t 8, sn lng mc 4000 n v. Cn u t bao nhiu t mc sn lng 8800 n v?A. 218; B. 212; C. 214; D. 216; in paragraph 7, the author provides the counterargument to his approach to protesting slavery to The smallest quantity of energy that can be released is called an A photonB quantumC electron D atom lA teen can be a drug-free advocate by promoting healthful media such asPSAs.A. TrueB. False 2. Which of the following statements about drug treatment IS TRUE?A. Residential therapy centers are more effective than methadone maintenance programs.B. Methadone maintenance is more effective than outpatient drug-free programs.C. The most effective treatment programs last less than 3 months but more than a weekD. The length of time spent in treatment is the single best predictor of a successful outcome. need help help me out plz Solve 5x + 6 = 3x - 10 Paco was driving his scooter west with an initial velocity of 4 m/s. He accelerates at 0.5 m/s2 for 30 seconds. What is his final velocity? What is the domain to this graph Kilian Company's inventory balance at the end of the current year does not include $10,000 of inventory that was stored in a separate warehouse and accidentally excluded from the physical count. If the error is not discovered, the effect of this error on financial statements in the following year will be: Multiple choice question. overstated net income the financial statement will be correct understated assets, retained earnings, and net income overstated assets, retained earnings and net income need to find volume, step by step explanation pls Basahing mabuti ang mga sumusunod na pahayag. Piliin ang angkop na salita sa loob ng panaklong para mabuo ang diwa ng bawat pahayag. Isulat ang sagot sa sagutang papel. 1. Nakaharang sa (pinto, pintuan) ang hinubad niyang sapatos. 2. (Iiwan, Iiwanan) na kita kung mananatili kang ganiyan. 3. Ang bukol sa kaniyang leeg ay (ooperahan, ooperahin) na sa isang buwan. 4. Bukas na tayo magkita-kita (kina, kila) Joyce. 5. Ibig (kong, kung) sumama sa inyong lumabas. The account that appears in the chart of accounts for a merchandising entity but not for a service entity is 6d A boy pushes his little brother on a sled. The sled accelerates from rest to (4 m/s). If the combines of his brother and the sled is (40.0 kg) and (20 W) of power is developed, how long time does the boy push the sled? The side of a right triangle opposite the right angle. Which of the following characteristics does a quality research question have What three parts do both the U.S. Constitution and the Florida Constitution include?A)Beginning, Middle, and EndB)Preamble, Amendments, and RevisionsPreamble, Articles, and AmendmentsD)Introduction, Structures, and Changes Find the perimeter of the given image. Round your answers to thenearest tenth. On June 30, Collins Management Company purchased land for $640,000 and a building for $960,000, paying $800,000 cash and issuing a 7% note for the balance, secured by a mortgage on the property. The terms of the note provide for 20 semiannual payments of $40,000 on the principal plus the interest accrued from the date of the preceding payment.a. Journalize the entry to record the transaction on June 30. June 30.b. Journalize the entry to record the payment of the first installment on December 31. Dec. 31.c. Journalize the entry to record the payment of the second installment the following June 30. Assume a 360-day year