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sukhopar [10]
4 years ago
13

Which number should be added to both sides of the equation to complete the square x^2-10x=7

Mathematics
1 answer:
mixer [17]4 years ago
5 0

Answer:

  25

Step-by-step explanation:

The number that needs to be added is the square of half the x-coefficient:

  (-10/2)^2 = 25

_____

Adding that gives ...

  (x -5)^2 = 32

  x = 5 ± 4√2

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Solve the system of equations by substitution.<br> 3/8x +1/3y=17/24<br> x+7y=8
const2013 [10]

Answer:

x=1, y=1.

Step-by-step explanation:

From the second equation:

x = 8 - 7y, so substituting for x in the first equation:

3/8(8 - 7y) + 1/3y = 17/24

3 - 21/8 y + 1/3y = 17/24

1/3y - 21/8y = 17/24 - 3

Multiply through by 24:

8y - 21*3 y = 17 - 72

8y - 63y = -55

-55y = -55

y = 1.

And  substituting for y in the second equation:

x + 7(1) = 8

x = 8 - 7

x =  1.

3 0
3 years ago
Deshaun is selling raffle tickets for every 4 tickets he charge $28
Sliva [168]

Answer:

28/4=7

Step-by-step explanation:

Divide 4 by 28 and you get 7

6 0
3 years ago
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dedylja [7]

Answer:

7 gallons

Step-by-step explanation:

Montraie is driving on a long road trip

He currentlyhase 13 gallons of fuel in his car

Each hour that he drives, he uses up 1 gallon of fuel

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3 years ago
What are the next two terms?​
Lina20 [59]

Answer:

1, 4, 2, 5, 3, 6, 4, 7, 5

8 0
3 years ago
The first hexagon is dilated to form the second hexagon. Select answers from the drop-down menus to correctly complete the state
Varvara68 [4.7K]

Answer:

Scale factor = 4 and it represents an 'enlargement'.

Step-by-step explanation:

We are given a hexagon which is dilated to form the second hexagon.

Now, as the size of the original hexagon is 0.2 units and the size of the dilated hexagon is 0.8 units.

As we get that 0.2 × 4 = 0.8

Therefore. it can seen that the original hexagon is dilated by 4 units in order to obtain new hexagon.

Moreover, dilation refers to the transformation that changes the size of the image.

Now, as we are changing the size by a scale factor of 4. So, this dilation is increasing the size of the original hexagon.

Hence, this dilation represents an enlargement.

7 0
3 years ago
Read 2 more answers
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