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ivann1987 [24]
3 years ago
7

Can someone help me please

Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Translation 12 units down puts each point 12 units lower on the graph than the position where it is currently shown. Segment RS is now shown on the line y=9. It will be translated straight down so it appears on the line y = 9-12 = -3.

Similarly, T has a y-coordinate of 2. Translated down 12, it will have a y-coordinate of y = 2-12 = -10.

The x-coordinates of all of the points remain the same.

The translation is shown in the attachment.

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4/5x = -16
Sveta_85 [38]
<h2>Hello!</h2>

The answers are:

1  x=-20

2  x=-9

3 x=-5 

4  r=-2

5  x=-4.5

<h2>Why?</h2>

To know the solution of the problems, we need to isolate each variable.

Remember that:

- If we have an equality: if the number is subtracting (negative sign), and if you need to move it to the other side of the equality, its sign changes to positive.

- If we have an equality: if the number is adding (positive sign), and if you need to move it to the other side of the equality, its sign changes to negative.

- If we have  an equality:  if the number is part of a product , and if you need to move it to the other side of the equality, the same number will be dividing the factors of the side. On the opposite, if the number is dividing, it will be multiplying on the other side of the equality.

So,

1 - Solving for "x"

\frac{4}{5}x=-16\\x=\frac{-16}{\frac{4}{5} }=-16*\frac{5}{4}=-20\\x=-20

2 - Solving for "x"

-3x+4=31\\-3x=31-4=27\\x=\frac{27}{-3}=-9

3 - Solving for "x"

2x+(-12)=-22\\2x-12=-22\\2x=-22+12=-10\\\\2x=-10\\x=\frac{-10}{2}=-5

4  - Finding the solution

25=15-5r\\25-15=-5r\\-5r=10\\r=\frac{10}{-5}=-2

5 - Finding the solution

12.5+5x=-10\\5x=-10-12.5=-22.5\\5x=-22.5\\x=\frac{-22.5}{5}=-4.5

Have a nice day!

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