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2 years ago

HALP!!! PLEASE!! I PROMISE YOU WILL BE MARKED BRAINLIEST!!!

Mathematics

1 answer:

elixir [45]2 years ago

5 0

The sum of the inverses of the solutions of the quadratic equation is equal to 2.75.

<h3>How to find the solutions of the quadratic equation?</h3>

Here we the quadratic equation:

0 = 5x^2 - 11x + 4

The solutions are given by Bhaskara's formula:

$x = \frac{11 \pm \sqrt{(-11)^2 - 4*4*5} }{2*5} \\\\x = \frac{11 \pm \sqrt{41} }{10}\\\\$

So the two solutions are:

$a = \frac{11 + \sqrt{41} }{10}\\\\\\b = \frac{11 - \sqrt{41} }{10}$

Then we have:

$\frac{1}{a} + \frac{1}{b} = \frac{10}{11 + \sqrt{41} } + \frac{10}{11 - \sqrt{41} } \\\\= \frac{10*(11 + \sqrt{41} + 11 - \sqrt{41}) }{(11 + \sqrt{41})*(11 - \sqrt{41})} \\\\= \frac{10*(11 + 11 ) }{(11 + \sqrt{41})*(11 - \sqrt{41})}\\\\= \frac{220}{80} = 2.75$

If you want to learn more about parabolas:

brainly.com/question/4061870

#SPJ1

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What statement is valid….

Nataly_w [17]

Discuss the relevance of fairy tales in society today and the aspects that it teaches us about our world. Why do we enjoy fairy tales and repeat these stories over time? How do fairy tales open our eyes to other cultures? What does it mean to live happily ever after? Discuss why tricksters often highlight flaws in the gods. If tricksters threaten order, authority, and hierarchy, then why do you think they appear in various stories? What are the similarities and differences in intelligence between the gods and tricksters? Discuss the ways in which tricksters mediate between the gods and men. Why do you think tricksters take the side of humans? What do the trickster stories say about cunning? Can intelligence be both evil and good?

3 0

2 years ago

You are looking at the New York ball drop on New Year’s Eve at a distance of 100 m away from the base of the structure. If the b

Fofino [41]

The question is an illustration of related rates.

The rate of change between you and the ball is 0.01 rad per second

I added an attachment to illustrate the given parameters.

The representations on the attachment are:

$\mathbf{x = 100\ m}$

$\mathbf{\frac{dy}{dt} = 2\ ms^{-1}}$ ---- the rate

$\mathbf{\theta = \frac{\pi}{4}}$

First, we calculate the vertical distance (y) using tangent ratio

$\mathbf{\tan(\theta) = \frac{y}{x}}$

Substitute 100 for x

$\mathbf{y = 100\tan(\theta) }$

$\mathbf{\tan(\theta) = \frac{y}{100}}$

Differentiate both sides with respect to time (t)

$\mathbf{ \sec^2(\theta) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot \frac{dy}{dt}}$

Substitute values for the rates and $\mathbf{\theta }$

$\mathbf{ \sec^2(\pi/4) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

This gives

$\mathbf{ (\sqrt 2)^2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

$\mathbf{ 2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

Divide both sides by 2

$\mathbf{ \frac{d\theta}{dt} = \frac{1}{100} }$

$\mathbf{ \frac{d\theta}{dt} = 0.01 }$

Hence, the rate of change between you and the ball is 0.01 rad per second

Read more about related rates at:

brainly.com/question/16981791

8 0

2 years ago

Area of a kite!!!!!!!!!!!!!!!

Ulleksa [173]

Find the area of each triangle then and them together, so:

1/2(15×8) =60

plus

1/2(15×8) =60

plus

1/2(23×8)=92

plus

1/2(23×8)=92

60+60+92+92=304

304 is the total area.

7 0

3 years ago

Read 2 more answers

What is the value of x2+9x+20 when x could be -5, -3 or -6

ANTONII [103]

Answer:

Step-by-step explanation:

You should use a ^ to indicate an exponent. x^2 is the same as x².

x² + 9x + 20

Replace the x with (-5).

(-5)² + 9(-5) + 20 = 25-45+20 = 0

Then do the same with x = (-3):

(-3)² + 9(-3) + 20 = 9 - 27 + 20 = 2

You can do x = (-6)

3 0

3 years ago

The piper family arrived at the campground at the time shown on the clock. I took the family 2 hours and 15 minutes to get to th

aleksklad [387]

Answer:

As you included no picture, I do not know the time on the clock. We can however, work with assumed figures which you can then relate to your question.

Assuming the time on the clock was 10:45 am, if the family took 2 hours and 15 minutes to get to the camp ground, simply subtract this from 10:45 to find out what time they arrived.

Subtract the 2 hours from 10am:

= 10 - 2

= 8am

Subtract the 15 minutes from 45:

= 45 - 15

= 30

Put that together:

= 8:30 am

<em>They left their house at 8:30 am using this scenario. </em>

8 0

3 years ago