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telo118 [61]
3 years ago
8

What are the root of equation x2 -4x+29 in simplest a + b form

Mathematics
2 answers:
bagirrra123 [75]3 years ago
8 0

Answer:

Correct answer:  (x - 2 - 5 i) (x - 2 + 5 i)

Step-by-step explanation:

Given:

x² - 4 x + 29 = (  ) (  ) = ?  

this equation has no solution in the set of real numbers

x² - 4 x + 29 = x² - 2 · x · 2 + 2² - 2² + 29 = x² - 2 · x · 2 + 4 - 4 + 29

x² - 4 x + 29 = (x - 2)² + 25 = (x - 2)² - ( - 25) = (x - 2)² - ( - 1 · 5²)

We know that  the imaginary unit is the equal  i = √- 1 ⇒ i² = - 1

x² - 4 x + 29 = (x - 2)² - ( 5 i)²  this is the difference of the square

x² - 4 x + 29 = (x - 2 - 5 i) (x - 2 + 5 i)

these are conjugated complex numbers

God is with you!!!

Elanso [62]3 years ago
6 0
Idk hope this helps
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Jorge has some dimes and quarters. He has 10 more dimes than quarters and the collection of coins is worth $2.40. How many dimes
PIT_PIT [208]

Answer:

14 dimes and 4 quarters

Step-by-step explanation:

x= number of dimes

y=number of quarters

x-10=y

0.10x+0.25y=2.40

substitute for y

0.10x+0.25(x-10)=2.40

0.35x-2.50=2.40

0.35x=4.90

x=14

y=4

5 0
2 years ago
I don't understand no this at all​
Katena32 [7]

Answer:

Just get the perimeter of the smaller rectangle then times it by 4

Step-by-step explanation:

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8 0
3 years ago
A shipping company claims that 95% of packages are delivered on time. A student wants to conduct a simulation
NISA [10]

The average number of packages the led to be selected in order to find a package that was not delivered on time is 2.2 option first is correct.

<h3>What is simple random sampling?</h3>

With simple random sampling, each component of the population has an equal chance of being selected for the sample.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

A shipping company claims that 95% of packages are delivered on time.

From the table:

00- 04 is the package not delivered on time.

05-99 - package delivered on time.

The first simulation's third number, 31, 64, 04, is where you can locate an item that wasn't delivered on time.

The second simulation's second number, 34, 02, is the location of a late-delivered delivery.

The third simulation is equal to 96,00 - the second number, which is the location of a late package.

The second number where to find a shipment not delivered on time in the fourth simulation is 31,04

Where to find a box that wasn't delivered on time in the fifth simulation: 98, 01, second number

The average number = (3 + 2 + 2 + 2 + 2)/5

= 11/5

= 2.2

Thus, the average number of packages the led to be selected in order to find a package that was not delivered on time is 2.2 option first is correct.

Learn more about the simple random sampling here:

brainly.com/question/13219833

#SPJ1

5 0
2 years ago
Raspberries are hannas favorite fruit. She can only buy one pins for 2.55$ how many pounds of raspberries can Hannah but for $12
jeyben [28]

Answer:

She can buy 36

Step-by-step explanation:

7 0
2 years ago
PLEASE HELP ASAP!!!
Nonamiya [84]

Answer:

Option C. Yes; y=2x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

so

In this problem

For x=0, y=0

That means ----> the line passes through the origin

<em>Find the value of k</em>

For x=2, y=4

k=\frac{y}{x} ----> k=\frac{4}{2}=2

For x=4, y=8

k=\frac{y}{x} ----> k=\frac{8}{4}=2

The values of k are equal

therefore

The table represent a direct variation

The equation is equal to

y=2x

5 0
3 years ago
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