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2 years ago

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

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What is the vertex of the quadratic function f(x) = (x – 3)(x - 2)?

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

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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]

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280m

Step-by-step explanation:

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

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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.

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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)

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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