1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valkas [14]
3 years ago
6

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

Mathematics
2 answers:
mariarad [96]3 years ago
8 0
<h3>Solution:</h3>

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

<u>(x - y)² = -1</u>

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

#ILoveMath

#ILoveYouShaina

Ede4ka [16]3 years ago
4 0

Answer:

(x -y)^2 = -1

Step-by-step explanation:

(x - y)^2 = x^2 + y^2 - 2xy

           = (x^2 + y^2 ) - 2(xy)\\\\=(9) - 2( 5)\\\\= 9 - 10 \\\\ = -1

You might be interested in
X increased by the difference between 14 times x and 9
KATRIN_1 [288]

In terms of x this is x+14x-9=15x-9

8 0
3 years ago
Tax Rate Change: Suppose a certain tax rate goes from 6% to 18%. Which of the following statements is NOT true?
igor_vitrenko [27]

Answer:

The c statement is not true.

Step-by-step explanation:

We need to check every statement to determine which one is false.

a. The old tax rate was 6% and the new one is 18%. The difference between the new and the old one will give us how much it's been increased. So 18-6=12, meaning the tax has increased 12%, so this statement is true.

b. If we multiply by 3 the old tax rate we get 6x3=18, which is the same as the new tax rate, so this statement is also true.

c. Increasing the tax rate 100% would mean multiplying by 2, since 100% is the same as the number, so adding that to the same number would double the amount. By the same logic, increasing it 200% would be the same as multiplying it by 3, and by 4 with a 300% increase. Since we already determined that the new tax was 3 times the old one, this statement is false, and the d. statement is true.

4 0
4 years ago
Un dispositivo de seguridad biométrico erróneamente rechaza la admisión de 1 en 1000 personas autorizadas de una instalación que
Leona [35]

Usando probabilidad condicional, se encuentra que hay una probabilidad de 0.0186 = 1.86% que la persona esta realmente autorizada para ingresar.

------------------

Probabilidad Condicional

P(B|A) = \frac{P(A \cap B)}{P(A)}

En que:

  • P(B|A) es la probabilidad de que ocurra el evento B, dado que A sucedió.  
  • P(A \cap B) es la probabilidad de que ocurran tanto A como B.  
  • P(A) es la probabilidad de que ocurra el evento A.

En este problema:

  • Evento A: Persona rechazada.
  • Evento B: Autorizada.

La probabilidad de una persona ser rechazada es:

  • \frac{1}{1000} = 0.001 de 95% = 0.95(autorizada).
  • \frac{1 000 000 - 1}{1 000 000} = 0.999999 de 5% = 0.05(non autorizadas).

O sea:

P(A) = 0.001(0.95) + 0.999999(0.05) = 0.05094995&#10;

La probabilidad de una persona estar autorizada y ser rechazada es:

P(A \cap B) = 0.001(0.95)

¿Cuál es la probabilidad que la persona esta realmente autorizada para ingresar?

P(B|A) = \frac{P(A \cap B)}{P(A)}

P(B|A) = \frac{0.001(0.95)}{0.05094995}

P(B|A) = 0.0186

Probabilidad de 0.0186 = 1.86% que la persona esta realmente autorizada para ingresar.

Un problema similar es dado en brainly.com/question/18734831

3 0
3 years ago
Please please help me out......... :)
Vika [28.1K]

Answer:

B

Step-by-step explanation:

The red graph is the graph of y = f(x) translated horizontally by 3 units

Given f(x) then f(x + a) is a horizontal shift of a units

• If a > 0 then shift to the left of a units

• If a < 0 then shift to the right of a units

Here f(x) has been shifted 3 units to the right, thus

y = f(x - 3) → B

7 0
3 years ago
Find the distance between the points (-16,10) and (2,-14)
Andrei [34K]

Answer:  The distance is 30

Step-by-step explanation:

To find the distance between the two points,find the difference between the x and y values, square them and add them to find their square root.

10 - (-14) = 24

-16 - 2=   -18

24^2 + 18^2 = d^2  where d is the distance

576 + 324 = d^2  

900 =d^2

d = \sqrt{900}

d= 30

3 0
3 years ago
Read 2 more answers
Other questions:
  • How tall is a triangle that is 10ft x 10 ft x 10ft?
    15·2 answers
  • 3/4(16c+8) - (6c - 8
    12·2 answers
  • I’ll give you brainliest and 5 stars if answered correctly
    6·2 answers
  • 12yd/min_______ ft/s
    6·1 answer
  • Three friends were helping to push a car. If all three are pushing equally hard and the net force is 600N, how hard is each one
    8·1 answer
  • Which statements are correct about the following expression? Select TWO that apply. <br> 2y + 1
    9·1 answer
  • Watch help video
    11·1 answer
  • Simplify using PEMDAS<br>(3X + 2x)(3+4)​
    13·1 answer
  • Given the function f(x)=x^2-6x+4, determine the average rate of change of the function over the interval 1 ≤ x ≤ 4
    10·1 answer
  • Tickets to a local movie were sold at $12.00 for general admission and $9.00 for seniors. If 155 tickets were sold for a total o
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!