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Delicious77 [7]
2 years ago
12

How do you rewrite an equation by completing the square? x^2+10x+21=0

Mathematics
1 answer:
AleksAgata [21]2 years ago
7 0

Answer:

Step-by-step explanation:

x²+10x+21=0

x²+10x+(10/2)²-(10/2)²+21=0

x²+10x+25-25+21=0

(x+5)²-4=0

(x+5)²=4

(x+y)²=(x+y)(x+y)=x(x+y)+y(x+y)=x²+xy+xy+y²=x²+2xy+y²

(x+y)²=x²+2xy+y²

coefficient of x=2y

y²=[(coefficient of x)/2]²=(2y/2)²=y²

You might be interested in
How do I solve this
hichkok12 [17]
You wanna find a common denominator so put the problem like this

3 1/3.< You wanna take 3 (denominator)
And times it
By 5 then you wanna take the 5. - 2 2/5.< (deniminator) and times it by 3.
____ Your common denominator is 15

now it will look like this

3 1/15

-2 2/15
———-

Now subtract. You will need to borrow 1 from 3 since you cant subtract 2 by 1 so the 3 will become a 2 and the 1 will be come 11 and here you can subtract so this will be your answer.

2 11/15

-2 2/15
-———-
0 9/15

Thats your official answer 9/15 hope I helped :)
4 0
3 years ago
The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area aff
Karolina [17]

The correct statement about the earthquake in the state is option c. State A had approximately 3,362 more earthquakes than State B.

<h3>How to solve for the earthquake in the state A</h3>

we have x/y = 0.00299

y = 163696

To solve for x we have

163696 * 0.00299

= 4895 earthquakes

<h3>Next we have to solve for earth quakes in state B</h3>

x = 0.1402 x 10931

= 1533

Next we have to find the difference

4895 - 1533 = 3362 earthquakes.

We have to conclude that state A has 3362 earthquakes more than B. Hence the answer is c.

<h3 />

Read more on seismic activity here:

brainly.com/question/13017813?referrer=searchResults

#SPJ1

Complete question

The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected. The table shows the land area and seismic activity density.

Which statement about the number of earthquakes the states had for the given time span is true?

State A had approximately 1,533 more earthquakes than State B.

State B had approximately 1,533 more earthquakes than State A.

State A had approximately 3,362 more earthquakes than State B.

State B had approximately 3,362 more earthquakes than State A.

8 0
1 year ago
What is the answer to this?
Leya [2.2K]

\huge\bold\purple{2/3:}

6 0
3 years ago
Solve f(x)= x2 when x = 5.
ira [324]

Answer:

10

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people ans
Bond [772]

If Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Then the mean of the sample is 3.75.

<h3>What is Mean?</h3>

The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency.

Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week.

Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars.

Then the mean of the sample will be

\rm Mean = \dfrac{1}{N} \times \Sigma _{i}   \ \ x_if_i

Then the table is given below.

Then we have

\rm Mean = \dfrac{1}{65} \times (244)\\\\\\Mean = 3.7538\\\\Mean \approx 3.75

More about the mean link is given below.

brainly.com/question/521501

#SPJ1

5 0
2 years ago
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