Which of the following is the first correct step to write the above equation in the form (x - p)2 = 9, where p and q are integers?

x2 - 14x + 41 + 8 = 0 + 8

x2 - 14x + 41 + 9 = 0 + 9

x2 - 14x + 41 - 8 = 0 - 8

x2 – 14x + 41 - 9 = 0 - 9

Answer:

**Answer:**

*The correct answer is the first option*

**Step-by-step explanation:**

__Quadratic Equation__

The standard form of a quadratic equation is

Sometimes we need to change the expression of the same equation to the form

To accomplish that change, we usually modify the left-hand expression to make it look like the square of a binomial.

The given quadratic equation is

Recall the square of a binomial is

The first term is already present. The second term gives us the value of p:

Solving

Now we need to produce the third term . We only have 41, thus we need to add 8 to both sides of the equation:

The correct answer is the first option

Write the four equivalent fraction of 9/13

A researcher wishes to estimate, with 90% confidence, the population proportion of likely U.S. voters who think Congress is doing a good or excellent job. Her estimate must be accurate within 2% of the true proportion(a) No preliminary estimate is available. Find the minimum sample size needed.(b) Find the minimum sample size needed, using a prior study that found that 28% of the respondents said they think Congress is doing a good or excellent job.(c) Compare the results from parts (a) and (b).

Mark had 3/2 cans of paint and used 1/2 can for his room. what fraction of the paint did he use

Choose the ratio that you would use to convert 5.5 pounds to ounces. Remember that there are 16 ounces in 1 pound. A.

Diego lives 1/2 miles from school.What is 50% of 1/2

A researcher wishes to estimate, with 90% confidence, the population proportion of likely U.S. voters who think Congress is doing a good or excellent job. Her estimate must be accurate within 2% of the true proportion(a) No preliminary estimate is available. Find the minimum sample size needed.(b) Find the minimum sample size needed, using a prior study that found that 28% of the respondents said they think Congress is doing a good or excellent job.(c) Compare the results from parts (a) and (b).

Mark had 3/2 cans of paint and used 1/2 can for his room. what fraction of the paint did he use

Choose the ratio that you would use to convert 5.5 pounds to ounces. Remember that there are 16 ounces in 1 pound. A.

Diego lives 1/2 miles from school.What is 50% of 1/2

answer: x+y=2

0+2=²

( 0 , 2 )

**Answer:**

(0,2)

**Step-by-step explanation:**

0 + 2 = 2

Where x = 0, y = 2

**Answer:**

**14.**

**15.**

**Step-by-step explanation:**

**Solving (14):**

**First, we solve for x.**

**Since sides **,** then**

**This is so because the theorem of ASA (Angle-Side-Angle)**

**So, we have:**

**Collect Like Terms**

**Divide both sides by 3**

**Solving for m<B, m<C and m<D.**

**We simply substitute 11 for x in their respective expressions.**

**Solving (15):**

**First, we solve for x.**

**Since **,** then**

**This is so because the theorem of SAS (Side-Angle-Side)**

**So, we have:**

**Collect Like Terms**

**Divide both sides by 2**

**Solving for WX, WY and XY**

**We simply substitute 4 for x in their respective expressions.**

12 students

40% earned a B; 20% earned an A, so (40%+20% =) 60% got a "B or better."

60% of 20 students is ...

... 60/100 × 20 students = 1200/100 students = **12 students**

**Answer:**

5

**Step-by-step explanation:**

**Answer:**

**Step-by-step explanation:**

You have to use PEMDAS

first p, parenthesis

12-2=10

then e exponenets 3^3=9

and finally d diviison /2

so 9(10) : 2

=90/2

=45

**Answer:**

I = 1.47001

**Step-by-step explanation:**

we have the function

In polar coordinates we have

and dA is given by

Hence, the integral that we have to solve is

This integral can be solved in a convenient program of your choice (it is very difficult to solve in an analytical way, I use Wolfram Alpha on line)

I = 1.47001

Hope this helps!!!

3.2 + 6^2 - 2 * 7.2

3.2 + 36 - 2 * 7.2

3.2 + 36 - (-14.4)

3.2 + 36 + 14.4

24.8

24.8 is your answer.

3.2 + 36 - 2 * 7.2

3.2 + 36 - (-14.4)

3.2 + 36 + 14.4

24.8

24.8 is your answer.