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notsponge [240]
3 years ago
7

The sum of two numbers is 12. the difference of the same two numbers is -4 . find the two numbers

Mathematics
1 answer:
gtnhenbr [62]3 years ago
5 0

Answer:

(4,8)

x=4

y=8

Step-by-step explanation:

x is the first number

y is the second number

x+y=12

x-y= -4

Let's add y and 4 to the second equation to get y by itself

x+4=y

We can substitute this value in for y in the first equation

x+x+4=12

2x=8

x=4

We can then use x=4 and plug that into any equation

4+y=12

y=8

The answer is (4,8)

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Lana71 [14]

Answer:

61

Step-by-step explanation:

we kno that a triangle is 180 degrees so we just add the first two angles

37 + 82 = 119

then subtract that from 180

180 - 119 = 61

so x = 61 degrees

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8 0
3 years ago
Bethany needs to solve the equation -x^2 + 4x = x - 4.
notsponge [240]

Answer:

The system of equations she could write is:

   y = -x² + 4x

   y = x - 4

The solutions are (-1 , -5) and (4 , 0)

Step-by-step explanation:

-x² + 4x = x - 4

That means two equations one quadratic which is in the left hand side and the other is linear which is in the right hand side.

They represented graphically by a parabola and a line, the solution of it will be the points of intersection of the two graphs

To find the system of equations take each side and equate it by y

∵ y = -x² + 4x

∵ y = x - 4

∴ The system of equations is:

   y = -x² + 4x

   y = x - 4

Let us solve this system using -x² + 4x = x - 4

∵ -x² + 4x = x - 4

- Subtract x from both sides

∴ -x² + 3x = -4

- Add 4 to both sides

∴ -x² + 3x + 4 = 0

- Multiply both sides by -1

∴ x² - 3x - 4 = 0

Let us use the factorization to solve it

∵ x² = (x)(x)

∵ -4 = (1)(-4)

∵ (x)(1) = x

∵ (x)(-4) = -4x

∵ x + -4x = - 3x ⇒ middle term

∴ The factors of x² - 3x - 4 are (x + 1)(x - 4)

- Substitute x² - 3x - 4 by its factors

∴ (x + 1)(x - 4) = 0

Equate each factor by 0 to find the values of x

∵ x + 1 = 0

- Subtract 1 from both sides

∴ x = -1

∵ x - 4 = 0

- Add 4 to both sides

∴ x = 4

Substitute the values of x in the equation y = x - 4 to find y

∵ y = -1 - 4

∴ y = -5

∵ y = 4 - 4

∴ y = 0

The solutions are (-1 , -5) and (4 , 0)

5 0
3 years ago
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Kay [80]

Answer:

77

Step-by-step explanation:

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6 0
3 years ago
Numbers are (-20,10) and (40,-50)​
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-2(4x-1 )+3= -3(x+5) <br> can anyone help me solve this
Lyrx [107]
The answer to this equation is x=4. 
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3 years ago
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