What is the nature of the roots of x2 6x 9 0?

Answers

Answer 1

The value of the Discriminant is 0 so we have equal roots  = b/2a = 6/2 = 3

The given equation is a quadratic equation.

x^2+6x+9 = 0.

To tell the nature of the roots we have to understand how to find the root of a quadratic equation.

The roots of a quadratic equation are the values of the variables that fulfil the equation. In other words, if f(α) = 0, then x = α is a root of the quadratic equation f(x).

The term Discriminant is used in quadratic equations.

The discriminant of a quadratic equation is the expression [tex](b^2 - 4ac)[/tex] in the quadratic formula. A quadratic equation's discriminant shows the nature of roots.

Discriminant important thing is that it is used to find the nature of roots.

x^2+6x+9 = 0. a =1, b = 6, c=9

discriminant d = b^2 - 4*a*c = 36-4*1*9 = 36-36 = 0

So the value of the discriminant is 0 so we have equal roots  = b/2a = 6/2 = 3

To know more about roots of quadratic equation here:

https://brainly.com/question/26926523

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Related Questions

Plss I need this answer....pls help me. Explain this question and answer it.​

Answers

Answer:

Figure three is the odd one out

Step-by-step explanation:

it is different from the other figures. The other figures are all the same, they're just rotated. Figure three is different from all of them though

someone please help me ​

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Answer:

Ok it might take a bit but I'll help:))

Step-by-step explanation:

What is the total of club seats? If club seats are
8% of the total? and total is 5,000
please help!

Answers

Answer:

From what i've understood the answer is 400

Step-by-step explanation:

So, if you divide it your answer would be 62,500, and if you times it your answer would be 400.

I hope this helps you :)

Solve the following
5x20​

Answers

100 is right you could also use your calculator

Answer:

100

Step-by-step explanation:

 1      

  20

X    5

  100

Aaron bought a stereo system for $55 and spends $8.45 on parts. He sells the system for
$60. What is his profit/loss?

Answers

Answer:

his loss is $3.45

Step-by-step explanation:

you just add then subtract

Diana is throwing a ball across a 56-yard field she threw it 3/4 of the way across the field how far did diana throw the ball?

Answers

Answer:

71

Step-by-step explanation:

if a triangle is dilated with a scale factor of 3, how do the sizes for the pre-image and image compare?

Answers

Answer:

Please check explanations

Step-by-step explanation:

When we dilate a particular figure, we are simply increasing the dimensions of its sides

By dilating the pre-image by a factor of 3, we are simply increasing the dimensions of it by a multiple of 3

so say for example, the base of the pre-image has a measure of 4 ft, the base of the image which is the pre-image dilated by a scale factor of 3 will be 4 ft * 3 = 12 ft

What this mean is that we have succeeded in tripling the dimension of the pre-image to give the dimension of the image

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

X=3

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

I have to graph these. I don't understand!!! please just tell me if it's a closed circle and where I have to put it​

Answers

Answer:

Okay so im gonna put the pictures here, it might look like spam but i promise you its not

Step-by-step explanation:

The numbers are in order from x > 7 to x < 2

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☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

68 less than 55 times a number is equal to the number.

I will make brainliest

Answers

Answer:

5x - 68 = x

Step-by-step explanation:

number = x

5x - 68 = x

Solve for x:

5x - 68 = x

-68 = x - 5x

-68 = -4x

68 = 4x

x = 68/4

x = 17

Answer:

55x-68 = x

Step-by-step explanation:

Please help, 15 points

Answers

Answer:

The answer is 10.

Step-by-step explanation:

The equation you are given is in slope-intercept form or y=mx+b where m is the slope and b is the y intercept.  Your equation is y=10x, so the slope or m is 10.

Question 5 1 To get from my home to my school, I travel approximately 4.1 miles east, then approximately 4.7 miles north. What is the approximate distance from my home to my school, rounded to the nearest tenth of a mile? * School Distance Home 90°​

Answers

Answer:

I hope you find the answer

Determine the value of x. Round answer to the nearest hundredth. thank you to whoever helps! Will Be Marked as BRAINLIEST!

Answers

Answer:

34.61

Step-by-step explanation:

Find the diagram attached

From the diagram;

Hypotenuse = 81.9

Angle of elevation = 65degrees

Required

The value of x (Adjacent)

Using the SOH CAH TOA identity

cos theta = adjacent/Hypotenuse

cos 65 = x/81.9

x = 81.9cos65

x = 81.9(0.4226)

x = 34.61

Hence the value of x to the nearest hundredth is 34.61


Help this is due in 2 minutes

Answers

Answer:

The percentage change each year is 2%

Step-by-step explanation:

Generally, we can have an exponential equation written as;

f(t) = I( 1 + r)^t

where f(t) is the value at a certain time

I is the initial value at t = 0

r is the growth rate

t is the time we are looking at

Thus, we have it that;

1.02 = 1 + r

r = 1.02 -1

r = 0.02

So, let us write 0.02 as a percentage

We have this as 2/100 which is the same as 2%

The percentage change each year is 2%

How do you write 8.317 x 10^6 in standard form?

Answers

Answer:

[tex]8,317,000[/tex]

Step-by-step explanation:

[tex]8.317\times10^6[/tex]

Rewrite 10^6:

[tex]10\times10\times10\times10\times10\times10[/tex]

Solve:

[tex]8.317\times(10\times10\times10\times10\times10\times10)\\=8,317,000[/tex]

8,317,000 is your final answer!

Mitch is making some bread dough. To make the bread dough, Mitch uses 5 1/2 cups of wheat flour, 1 3/4 cups of rice flour, and 2/3 cup of white flour. How many cups of flour, in total, does Mitch use? Show or explain all your work. ​

Answers

Answer: 7 11/12 cups of flour

Step-by-step explanation:

The number of cups of flour in total that Mitch uses will be gotten by adding the values for the cups for each type of flour that's used. This will be:

= 5 ½ + 1¾ + ⅔

= 5 6/12 + 1 9/12 + 8/12

= 6 23/12

= 6 + 1 11/12

= 7 11/12 cups of flour

Simplify the expression by combining like terms.
Write the terms from the highest to the lowest
power of the variable.

Answers

Answer:

19y² - 6y - 8

Step-by-step explanation:

4y² + y² - 3y - 6 + 14y² - 2 + 4y - 7y

4y² + y² + 14y² - 3y + 4y - 7y - 6 - 2

19y² - 6y - 8

Answer:

19^2-6y-8

Step-by-step explanation:

4y^2+y^2-3y-6+14y^2+4y-7y

4y^2+y^2+14y^2-3y+4y-7y-b-2

Answer: 19y^2-6y-8

Hope it helps....

Have a great day!! :)

Please help
40 points

Answers

Answer:

44.11

Step-by-step explanation:

you can use SOH-CAH-TOA to find the answer.

T has adjacent and hypotenuse shown in the figure.

thus you can write it as,

[tex]cos(x) = 28 \div 39[/tex]

[tex]x = cos^{ - 1} (28 \div 39)[/tex]

[tex]x = 44.11[/tex]

(you can round the answer differently )

HEYYYY YOU YEA YOU!!!
whoever can come up with the best sentence to relate to this will get BRAINLIEST

Who here is sad because they hate school and school gives them depression because of the amount of work and because they are tired of seeing idiots around them and their whole existence just annoys you and sometimes you even imagine yourself running them over with a bus because they cant comprehend the fact that you just want them to rot in hell for all eternity for example they could just breath and then you give them the "stank look".....or is it just me....its not just me right?????

Answers

Answer:

I think that school is somewhat fun, now it is just straight up boring, and yeah sometimes I feel like there are not smart people, and there are weird people, so annoying, I wish they aren't there a lot, but hey, if you can, listen to music, and maybe make some time to do what you like so you can forget about school for a little and relieve your stressssss

What is the length of C'D'?

Answers

Answer:

C'D

Step-by-step explanation:

3 1 half plus 1 half .. and haii

which table represents y as a function of x

Answers

The answer Is G. So go with G

Find the volume of the cylinder. Leave your
answer in terms of pi.
8 cm.
8 cm.

Answers

What do the radius and height? There is no picture.

8-7 test prep (will give brainliest!!!)

Answers

Answer54: A, 55: G, 56: D

Step-by-step explanation:

Answer:

54. 2cm

55. between 6 and 7

56. two irrational numbers

Step-by-step explanation:

Help!! Il give you brainlest

Answers

Answer:

ithink the first one :p

Step-by-step explanation:

Find the perimeter of the object

Help step by step please!

Answers

Answer:

29.42 units

Step-by-step explanation:

1) Find the perimeter around the semi-circle

To do this, we find the circumference of the circle using the given diameter:

[tex]C=\pi d[/tex] where d is the diameter

Plug in 6 as the diameter

[tex]C=\pi (6)\\C=6\pi[/tex]

Divide the circumference by 2

[tex]\frac{6\pi }{2} \\= 3\pi[/tex]

Therefore, the perimeter around the semi-circle is 3π units.

2) Find the perimeter around the rest of the shape

Although it's impossible to determine the lengths of the varied sides on the right side of the shape, we know that all of those vertical sides facing the right add up to 6. We also know that all of those horizontal sides facing up add up to 7. Please refer to the attached images.

Therefore, we add the following:

7+6+7

= 20

Therefore, the perimeter around that area of the shape is 20 units.

3) Add the perimeter around the semi-circle and the perimeter around the rest of the shape

[tex]20+3\pi \\= 20+9.42\\= 29.42[/tex]

Therefore, the perimeter of the shape is approximately 29.42 units.

I hope this helps!

How far the penguin can walk in 1 second

Answers

Not known. This varies because it depends on if the penguin is going full speed or not, and the size or even just the penguin itself because not all penguins walk the same speed.

Answer:

1 step? what speed?

GUYS ANYONE HERE I REALLY NEED HELP PLS! Find the area of the polygon with vertices D (-1, 2), E (2, 2), F (2, -1), and G (-3, -1). If necessary, round to the nearest tenth

Answers

Answer:

48 units

Step-by-step explanation:

1. graph

2. separate into a triangle and a square

3. the square is 6x6 squares, so 36 there

4. the triangle is 4x6, so (4x6)/2 is 12

5. 36+12 = 48 units

Please help!! Brainlyest!!

Answers

The answer should be C

Match the graph to its equation. ​

Answers

Answer: First one is A, 2nd one is B, 3rd one is C

Step-by-step explanation:

First one is A, the second one is B, and the 3rd one is C

matt and anglela have 40$ together angela has 5more$ than matt how much
money does matt have

Answers

Matt has 17.5 dollars because Angela has 22.5 dollars and together that is 40 dollars
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