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densk [106]
3 years ago
6

Use the distributive property -5 {x + 4} + -3x + -9x + -7

Mathematics
1 answer:
grin007 [14]3 years ago
8 0

Answer:

-17x - 27

Step-by-step explanation:

Distributive property is the multiplication of the number outside the parenthesis and the ones inside.

-5(x + 4) + -3x + -9x + -7

-5x - 20 + -3x + -9x + -7

Combine like terms:

-5x - 20 + -3x + -9x + -7

-5x +-3x

 -8x + -9x

      -17x

-17x - 20 + -7

     -20 + -7

         -27

The answer is -17x - 27

Hope this helped.

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Identity =》 a² - b² = (a + b) (a - b)

(4x)² - 7²

= (4x + 7) (4x - 7) [3rd option]

_______

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2 years ago
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Ratio of orange:green = 2:1


If there are 4 green picks then there are 8 orange picks.


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Graph ARST with vertices R(6, 6), S(3, -6), and T(0, 3) and its image after a
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Answer:

The answer is the second figure and the vertices of Δ R'S'T' are:

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Step-by-step explanation:

* Lets revise some transformation

- If point (x , y) reflected across the x-axis

 ∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

 ∴ Its image is (-x , y)

- If point (x , y) reflected across the line y = x

 ∴ Its image is (y , x)

- If point (x , y) reflected across the line y = -x

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- Now we can solve the problem

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- The triangle RST is reflected over the y-axis

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∵ R = (6 , 6)

∴ Its image is (-6 , 6)

∵ S = (3 , -6)

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∵ T = (0 , 3)

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* Now lets look to the figure to find the correct answers

- The image of Δ RST is ΔR'S'T'

∵ The vertices of the image of ΔRST are:

  R' = (-6 , 6) , S' = (-3 , -6) , T' = (0 , 3)

* The answer is the second figure

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