1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
crimeas [40]
3 years ago
9

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Mathematics
1 answer:
alexira [117]3 years ago
3 0

Answer:

Option B

Step-by-step explanation:

Given quadratic equation is,

12a² + 9a + 7 = 0

By comparing this equation with standard quadratic equation,

hx² + kx + c = 0

h = 12, k = 9 and c = 7

By using quadratic formula,

a = \frac{-k\pm\sqrt{k^2-4hc}}{2h}

  = \frac{-9\pm\sqrt{9^2-4(12)(7)}}{2(12)}

  = \frac{-9\pm\sqrt{81-336}}{2(12)}

  = \frac{-9\pm\sqrt{-255}}{24}

  = \frac{-9\pm i\sqrt{255}}{24}

a = \frac{-9+ i\sqrt{255}}{24},\frac{-9- i\sqrt{255}}{24}

Therefore, Option B will be the correct option.

You might be interested in
Can someone please write five paragraphs and a hook of why kids should sleep in more
Vlad1618 [11]

Answer:

Sleep is undoubtedly one of the most essential requirements for the human body to function properly. It plays a very important role in ensuring the wellness of the human body, both physically as well as mentally. In fact, the importance of sleep is clear from the fact that it helps you with maintaining a good lifestyle throughout your entire lifetime. Not only does it help you maintain your physical and mental health, it also helps in maintaining a decent and healthy lifestyle along with ensuring safety from a number of fatal diseases.

It is usually said that the mood in which you wake up is largely dependent on the type of sleep you have been in. This, in itself, is proof of the importance of sleep in our lives. While sleeping, our body finally gets its share of rest, and it also gets ample time to rejuvenate from all the wear and tear that it went through during the entire day. Not only this, the body is in its own working condition when we are sleeping, as this is the time when it supports the healthy functioning of the brain as well as physical attributes of our body. How many times have you been suffering from a headache, and then you slept for some time and found the pain to have vanished? This is the effect that a sound sleep session has on your mind as well as body.

Sleep is not only important for grown-up individuals and people who go to work, but it is also very essential for small babies and children in their growing-up years, as well. In small children, sleep supports the growth as well as development of their minds and bodies, and hence is a non- negotiable activity necessary for all human beings.

Sleep is undoubtedly one of the most essential requirements for the human body to function properly. It plays a very important role in ensuring the wellness of the human body, both physically as well as mentally. In fact, the importance of sleep is clear from the fact that it helps you with maintaining a good lifestyle throughout your entire lifetime. Not only does it help you maintain your physical and mental health, it also helps in maintaining a decent and healthy lifestyle along with ensuring safety from a number of fatal diseases.

It is usually said that the mood in which you wake up is largely dependent on the type of sleep you have been in. This, in itself, is proof of the importance of sleep in our lives. While sleeping, our body finally gets its share of rest, and it also gets ample time to rejuvenate from all the wear and tear that it went through during the entire day. Not only this, the body is in its own working condition when we are sleeping, as this is the time when it supports the healthy functioning of the brain as well as physical attributes of our body. How many times have you been suffering from a headache, and then you slept for some time and found the pain to have vanished? This is the effect that a sound sleep session has on your mind as well as body.

Sleep is not only important for grown-up individuals and people who go to work, but it is also very essential for small babies and children in their growing-up years, as well. In small children, sleep supports the growth as well as development of their minds and bodies, and hence is a non- negotiable activity necessary for all human beings.

3 0
3 years ago
Read 2 more answers
9)Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The
Sidana [21]

The dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.

<h3>What is the Pythagoras theorem?</h3>

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have:

Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The other end of the leash is tied to the top of an 8-foot pole.

After drawing a right-angle triangle from the above information.

Applying Pythagoras' theorem:

60² = 6² + x²

After solving:

x = 59.69 ≈ 59.7 foot

Thus, the dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.

Learn more about Pythagoras' theorem here:

brainly.com/question/21511305

#SPJ1

5 0
1 year ago
Marika and her three friends attend the school play. Tickets cost 5.75 each, and marika paid for everyone. Find the total cost o
gavmur [86]
In all, 4 people.

5.75 for each person would be the equation

4*5.75

That equals 23.
Marina payed $23
3 0
3 years ago
Read 2 more answers
What is the slope of y=2+3.5
Dovator [93]

Answer:

=

5

.

5

Step-by-step explanation:

3 0
2 years ago
AB = 2x + 3, BC = 3x + 7, AC = 60. what does x represent
mart [117]

Answer:

AC=AB+BC

60=2x+3+3x+7

60=2x+3x+3+7

60=5x+10

60-10=5x

50=5x

x=10

4 0
3 years ago
Other questions:
  • The sum of 60 and 30 is divided by 10 and the difference of quotient and 3 is divided by 2​
    5·1 answer
  • Enter the equivalent distance in km in the box.
    8·1 answer
  • How do I work this problem out using the equation A=Pe^rt
    13·1 answer
  • A biased coin is flipped 10 times. in a single flip of the coin, the probability of heads is 1/3 and the probability of tails is
    15·1 answer
  • Right ∆ABC has coordinates A(-7, 3), B( -7, 10), and C(-1, 3). The triangle is reflected over the x - axis and then reflected ag
    10·2 answers
  • The number of words defined on pages randomly selected from a dictionary are given below. Find the range and standard deviation
    8·1 answer
  • A battery manufacturer randomly tests 500 batteries and finds that 3 are defective.
    15·1 answer
  • Vector V is in standard position and makes an angle of 50° with the positive x-axis. Its magnitude is 15. Write V in component f
    11·1 answer
  • What is the value of <br> this expression? [2x(3x5)+6]x4
    10·2 answers
  • Correct will get brainliest.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!