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
laiz [17]
2 years ago
10

20 pts and brainliest

Mathematics
1 answer:
lions [1.4K]2 years ago
6 0

The two solutions to the given quadratic equation are 2i/3, -2i/3 and they are both complex solutions.

Hence, option C is the correct answer.

<h3>What are the solutions to the quadratic equation?</h3>

Given the equation; 9x² + 4 = 0

First, we subtract 4 from both sides.

9x² + 4 = 0

9x² = -4

x² = -4/9

Take the square roots of both sides

x = ±√(-4/9)

Rewrite -4/9 as (2i/3)²

x = ±√(2i/3)²

x = ±(2i/3)

Hence,

x = 2i/3, -2i/3

Therefore the two solutions to the given quadratic equation are 2i/3, -2i/3 and they are both complex solutions.

Hence, option C is the correct answer.

Learn more about quadratic equations here: brainly.com/question/1863222

#SPJ1

You might be interested in
What is the vertex of the quadratic function f(x) = (x – 3)(x - 2)?
koban [17]

Answer:

The vertex is: (\frac{5}{2},-\frac{1}{4})

3 0
3 years ago
Forty five men can construct a road 210m long in 60 days. What length would be constructed by 72 men in 50 days assuming that al
blagie [28]

Answer:

280m

Step-by-step explanation:

Work rate would be (210m)/(45people)(60days)=7/90 m/(people)(day)

7/90 m/(people)(day) * 72people * 50days =280m

7 0
3 years ago
Which statement justifies why ∠ABF measures 130°?
kozerog [31]

Answer:

A. A linear pair is two adjacent, supplementary angles.

Step-by-step explanation:

from the description,

< ABD = 50^{o}, so that;

< ABD + <DBC = 90^{o}

50^{o} + <DBC =  90^{o}

<DBC =  90^{o} -  50^{o}

          = 40^{o}

Thus,

<FBE = < ABD = 50^{o} (vertically opposite angles)

<ABF + <FBE = 180^{o}  (supplementary angles)

<ABF +  50^{o} =  180^{o}

<ABF =  180^{o} - 50^{o}

         = 130^{o}

The statement that justifies why <ABF measures 130^{o} is a linear pair is two adjacent, supplementary angles.

6 0
4 years ago
Select the coordinates of two points on the line y = 8.
shusha [124]

Answer:

D: (0, 8) and (8, 8)

Step-by-step explanation:

Line y = 8. So doesn't matter what x values are, y is always equal 8

Answer

D: (0, 8) and (8, 8)

8 0
4 years ago
Suppose that the distribution is bell-shaped. If approximately 99.7% of the lifetimes lie between 568 hours and 1066 hours, then
irakobra [83]

Answer:

\sigma =\frac{478}{6}=79.667

Step-by-step explanation:

The empirical rule, also referred to as "the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ)". The empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

And on this case since we are within 3 deviations (because we have 99.7% of the data between 568 and 1066hours), the result obtained using the z score agrees with the empirical rule.  

So on this case we can find the standard deviation on this ways:

\mu -3\sigma = 568     (1)

\mu +3\sigma = 1066   (2)

If we subtract conditions (2) and (1) we got:

1066-588 =\mu +3\sigma -\mu +3\sigma

478= 6\sigma

\sigma =\frac{478}{6}=79.667

3 0
3 years ago
Other questions:
  • I need help with number 4
    10·1 answer
  • Evaluate the radical. 125−−−√3
    6·1 answer
  • Solve <br> y= -2x + 9<br><br> y= 4x -3
    13·2 answers
  • A person loads a 36.0 N package, from the hall to the sixth floor of a building or 18.0 m. How much work does the person do when
    11·1 answer
  • “The ratio of the number of knives to the number of forks on a
    9·2 answers
  • Write an equation and slope intercept form of the line that passes through the given points
    11·1 answer
  • If 2a/b = 1/2, what is the value of b/a
    5·2 answers
  • Which inequality is graphed on the number line
    12·1 answer
  • What is the value of x in the figure below?
    6·1 answer
  • Graph the solution set.-10x≤2y
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!