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Advocard [28]
3 years ago
15

1) Find the value of two numbers if their sum is 12 and their difference is 4.

Mathematics
1 answer:
Ivahew [28]3 years ago
4 0

Numbers are 4 and 8

<u>Step-by-step explanation:</u>

Step 1:

Let the numbers be x and y. Given that their sum is 12 and difference is 4. Form equations for this data.

⇒ x + y = 12 ------ (1)

⇒ x - y = 4 -------- (2)

Subtract eq (2) from (1)

⇒ 2x = 8

⇒ x = 4

Step 2:

Find y.

⇒ y = 12 - x = 12 - 4 = 8

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The two lines in this system of equations are parallel

Step-by-step explanation:

Let us revise the relation between 2 lines

  • If the system of linear equations has one solution, then the two line are intersected
  • If the system of linear equations has no solution, then the two line are parallel
  • If the system of linear equations has many solutions, then the two line are coincide (over each other)

∵ The system of equation is

3x - 6y = -12 ⇒ (1)

x - 2y = 10 ⇒ (2)

To solve the system using the substitution method, find x in terms of y in equation (2)

∵ x - 2y = 10

- Add 2y to both sides

∴ x = 2y + 10 ⇒ (3)

Substitute x in equation (1) by equation (3)

∵ 3(2y + 10) - 6y = -12

- Simplify the left hand side

∴ 6y + 30 - 6y = -12

- Add like terms in the left hand side

∴ 30 = -12

∴ The left hand side ≠ the right hand side

∴ There is no solution for the system of equations

∴ The system of equations represents two parallel lines

The two lines in this system of equations are parallel

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

6 0
3 years ago
After the math contest, Badil noticed that there where four extra large pizzas that where left untouched. In addiction, another
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The graph of the function f(x) = ax2 + bx +C
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Answer:

The axis of symmetry is  -b/2a

The x-intercept shown is 3 units away from the axis of symmetry.

The other x-intercept also must be 3 units away from the axis of symmetry but on the opposite side.

Subtract 3 from the axis of symmetry.

The other x-intercept is  (-b/2a-3,0)

Step-by-step explanation:

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solve systems of equation. equation number 1: 9 x squared + 4 y squared equals 144. equation 2: x squared plus y squared equals
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9x^{2} + 4y^{2} =144
x^{2} + y^{2}=24

9x^{2} + 4y^{2} =144
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by the difference 
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so x=\sqrt{\frac{48}{5}} or x=-\sqrt{\frac{48}{5}}
and y^{2}=24-\frac{48}{5}
then y=\sqrt{\frac{72}{5}} or -\sqrt{\frac{48}{5}}
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Travis can afford a $260-per-month car payment, and he is interested in either a compact car, which costs $10800, or a coupe, wh
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Answer: travis can afford the compact car but not the coupe



Step-by-step explanation:


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