Malik is solving the equation x2 – 10x – 11 = 0 using the complete the square method. Here is Malik's work: Line 1 p^2 -10p-11=0 Line 2 p^2 -10p+25=11+25 Line 3 (p-5)^2 =36 Line 4 p-5=36 or p-5=-36 Line 5 p=41 p=-31 Line 6 the solution is p=41 or p=-31 Malik checks his answer and realizes he has made a mistake. On which line did Malik make his mistake? Explain Malik's mistake using the complete the square method in 1-3 complete sentences.

Answers

Answer 1

Completing the square method rearranges the equation to have the

square of linear equation and constant on both sides of the equation.

Responses:

The mistake is made in line 4The mistake is in not taking the square root of both sides

Which is the correct completing the square method?

The given equation is; x² - 10·x - 11 = 0

Line 1: p² - 10·p - 11 = 0

Which gives;

p² - 10·p = 11

Adding 25 to both sides gives;

Line 2: p² - 10·p + 25 = 11 + 25

11 + 25 = 36

Factorizing p² - 10·p + 25 = (p - 5)·(p - 5)  = (p - 5)²

Line 3: (p - 5)² = 36

Which gives;

p - 5 = ±√36

Line 4: p - 5 = √36 = 6 or p - 5 = -√36 = -6 (Line that has a mistake)

Line 5: p = 6 + 5 = 11, or p = -6 + 5 = -1

Line 6: p = 11 or p = -1

The line Malik made a mistake is on line 4

The mistake made is that in line 4, the root of both sides of the equation, rather than only the left side of the equation is to be taken.

The constant on the left and side is then subtracted from the positive

and negative value of the square root of the right hand side to give two

results.

Learn more about completing the square here:

https://brainly.com/question/3939104


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I already answer this on the other one, but here it is again.

Answer:

13 5/8 Or 13.625

Explanation:

• Let's start with 1/4. There are five days that has the amount of 1/4 of rainfall.

So we have to add all five of the 1/4 or just multiply:

1/4 x 5 = 5/4

• Now for the 3/8. There are twelve days that has that amount of rainfall.

3/8 x 12 = 36/8

· For 1/2. There are five days.

1/2 x 5 = 5/2

· For 5/8. There's five days.

5/8 x 5 = 25/8

• Lastly for 3/4. There is three days.

3/4 x 3 = 9/4

• Now we add all of the amount together: 5/4 + 36/8 + 5/2 + 25/8 + 9/4

- To add, we have to find the Least Common Denominator (LCD), which is 8.

So we have to make all of the fractions into a denominator of 8 by multiplying:

5/4 –> 10/8 (Multiply by 2)

36/8 (Stays the same, already have the denominator of 8)

5/2 –> 20/8 (Multiply by 4)

25/8 (Stays the same, already have the denominator of 8)

9/4 –> 18/8 (Multiply by 2)

• Now add:

10/8 + 36/8 + 20/8 + 25/8 + 18/8 = 109/8

109/8 = 13 5/8

Or as decimal form: 13.625

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer: [tex]810m^{2}[/tex]

Step-by-step explanation:

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486 + 324 = 810

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Step-by-step explanation: khan academy

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Answers

Answer:

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Step-by-step explanation:

I think the answer might be C.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

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Answer:

Step-by-step explanation:

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Step-by-step explanation:12

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Answers

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Answers

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Step-by-step explanation:


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Answers

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

There is a correlation between test score and amount of sleep. There may or may not be causation. Further studies would have to be done to determine this.

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Answers

Answer:

[tex]Area = 12004[/tex] square inches

Step-by-step explanation:

Given

[tex]q = 110[/tex]

[tex]o = 970[/tex]

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Required

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Thw picture isnt showing

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Answers

Answer:

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Step-by-step explanation:

Jess needs 2 pounds, which can be written as a fraction as 10/5.

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Answers

Answer:

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Step-by-step explanation:

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Answer:

solution given:

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is your answer.

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Step-by-step explanation:

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