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
Liula [17]
3 years ago
12

X² - xy = 0 x + y = 1

Mathematics
1 answer:
wolverine [178]3 years ago
3 0

Answer:

(0, 1 ) and (\frac{1}{2}, \frac{1}{2} )

Step-by-step explanation:

Given the 2 equations

x³ - xy = 0 → (1)

x + y = 1  → (2) ( subtract x from both sides )

y = 1 - x → (3)

Substitute y = 1 - x into (1)

x² - x(1 - x) = 0

x² - x + x² = 0

2x² - x = 0 ← factor out x from each term on the left side

x(2x - 1) = 0

Equate each factor to zero and solve for x

x = 0

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = \frac{1}{2}

Substitute these values into (3) for corresponding values of y

x = 0 : y = 1 - 0 = 1 ⇒ (0, 1 )

x = \frac{1}{2} : y = 1 - \frac{1}{2} = \frac{1}{2} ⇒ ( \frac{1}{2}, \frac{1}{2} )

You might be interested in
The additive inverse of (-2x + 4) is __________.
monitta

Answer:

2x - 4

Step-by-step explanation:

Additive inverse of -2x + 4 = 2x - 4

To find the additive inverse, change the sign of each term

6 0
2 years ago
Complete each family of facts.<br>5 5 10​
Sladkaya [172]

Answer:

1,5

1,5 and

1,2,5,10

Step-by-step explanation:

7 0
3 years ago
Please helppp ASAP Content attribution
Aliun [14]

Answer:

The LCD of the two given fraction is (x + 4)(x + 5)(x + 7)

Step-by-step explanation:

<em>In the algebraic fractions, the LCD is the least common denominator to find it do that:</em>

  • Factorize each denominator
  • Take all the factors without repeating factors

<em>Let us do that with our question</em>

∵ The denominator of the first fraction is m² + 9m + 20

→ Factorize it into two factors

∵ 20 = 4 × 5 ⇒ the last term

∵ 4 + 5 = 9 ⇒ the coefficient of the middle term

∴ m² + 9m + 20 = (x + 4)(x = 5)

∴ The factors of m² + 9m + 20 are (x + 4) and (x + 5)

<em>Do the same with the 2nd denominator</em>

∵ The denominator of the second fraction is m² + 11m + 28

→ Factorize it into two factors

∵ 28 = 4 × 7 ⇒ the last term

∵ 4 + 7 = 11 ⇒ the coefficient of the middle term

∴ m² + 11m + 28 = (x + 4)(x + 7)

∴ The factors of m² + 11m + 28 are (x + 4) and (x + 7)

∵ The factors of the two denominators are (x + 4), (x + 5), (x + 4), (x + 7)

→ LCD will be all factors without repeating which means we will

   take the factor (x + 4) just one time, we will not repeat it.

∴ LCD = (x + 4)(x + 5)(x + 7)

∴ The LCD of the two given fraction is (x + 4)(x + 5)(x + 7)

5 0
3 years ago
Is a reflection of (-7,2) across the y-axis is at (7,-2)
Readme [11.4K]
The reflection of (-7, 2) across the y-axis is (-7, -2) (hope this helps ;3)
8 0
2 years ago
Write an equation of the line that passes through a pair of points: (-3,1), (-2,-5)
Temka [501]

Answer:

y-1=-6(x+3)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-5-1)/(-2-(-3))

m=-6/(-2+3)

m=-6/1

m=-6

y-y1=m(x-x1)

y-1=-6(x-(-3))

y-1=-6(x+3)

4 0
3 years ago
Other questions:
  • which undefined geometry term is described as two-dimensional set of points that has no beginning or end
    5·1 answer
  • What is the exact volume of the sphere? 36.868π m³ 94.46π m³ 147.456π m³ 463.01π m³ Sphere with dotted line extending from middl
    13·2 answers
  • 5.) Write the slope-intercept form of the equation for the line.
    10·1 answer
  • What fraction is £1 of 13p?
    13·1 answer
  • Can you find the cologne from 1-6 please <br><br> Hurry 20 points!
    12·1 answer
  • The range of F(x) = logb x is the set of all real numbers. True or false
    10·2 answers
  • Find the product. Type your answer in the provided space. Do not use spaces in your answer. To demonstrate an exponent, use the
    10·1 answer
  • I am learning about rate of change, please help
    6·2 answers
  • Which term matches the definition? one that can be answered with
    13·1 answer
  • Find the LCM of k2 + 3k + 2 and 2k2 + 14k + 20.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!