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lbvjy [14]
3 years ago
9

2x(5x + 3) + 7(5x + 3) 7 x 10

Mathematics
1 answer:
jonny [76]3 years ago
5 0

Answer:

Step-by-step explanation:

10x+6x+35x+21=51x+21

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Complete the squar3
cricket20 [7]

9514 1404 393

Answer:

  1. 4
  2. -2
  3. 4
  4. 2
  5. -2±√2

Step-by-step explanation:

In order to fill the first blank, we need to look at the second line to see what the coefficient of x is.

  1. x² +<u> </u><u>4 </u>x +2 = 0

The constant is subtracted from both sides to get the second line.

  2. x² +4x = <u> -2 </u>

The value that is added on the third line is the square of half the x-coefficient: (4/2)² = 4

  3. x² +4x +<u> 4 </u> = -2 +4

On the fourth line, the left side is written as a square, and the right side is simplified. The square root is taken of both sides.

  4. √(x +2)² = ±√<u> 2 </u>

Finally, 2 is subtracted from both sides to find the values of x.

  5. x = <u> -2 ±√2 </u>

8 0
2 years ago
Graph ARST with vertices R(6, 6), S(3, -6), and T(0, 3) and its image after a
padilas [110]

Answer:

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

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

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

 ∴ Its image is (-y , -x)

- Now we can solve the problem

∵ R = (6 , 6) , S = (3 , -6) , T = (0 , 3), they are the vertices of ΔRST

- The triangle RST is reflected over the y-axis

- According to the rule above the signs of x-coordinates will change

∵ R = (6 , 6)

∴ Its image is (-6 , 6)

∵ S = (3 , -6)

∴ Its image is (-3 , -6)

∵ T = (0 , 3)

∴ Its image is (0 , 3)

* 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

7 0
3 years ago
Swimming Pool On a certain hot summer's day, 345 people used the public swimming pool. The daily prices are $1.50 for children a
Natasha2012 [34]

Answer:

143

Step-by-step explanation:

just took the test

6 0
3 years ago
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Create an equivalent expression using the drop downs below 4(32 – 4).
GaryK [48]

Answer:

7x

Step-by-step explanation:

It equals 28 just like the problem with parentheses, 7x .

3 0
3 years ago
What is 4/18 divided by 2/9
photoshop1234 [79]

Answer: = 1whole

Step-by-step explanation:

3 0
2 years ago
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