In simplest radical form, what are the solutions to the quadratic equation 6 = x2 - 10/?
Quadratic formula: * = -bt/b? 40c
20
O x=5+31
O x = 51/19
O x = 5+219
O x = 5+2/31

Answers

Answer 1

Answer:

[tex]x = 5 \± \sqrt{31}[/tex]

Step-by-step explanation:

Given

[tex]6 = x^2 - 10x[/tex]

Required

The solution in radical form

[tex]6 = x^2 - 10x[/tex]

Rewrite as:

[tex]x^2 - 10x - 6 = 0[/tex]

Using the quadratic formula, we have:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where

a = 1

b = -10

c = -6

So, we have:

[tex]x = \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*(-6)}}{2*1}[/tex]

[tex]x = \frac{10 \± \sqrt{100 +24}}{2*1}[/tex]

[tex]x = \frac{10 \± \sqrt{124}}{2}[/tex]

Split the roots

[tex]x = \frac{10 \± \sqrt{4 * 31}}{2}[/tex]

Express [tex]\sqrt 4[/tex] as 2

[tex]x = \frac{10 \± 2\sqrt{31}}{2}[/tex]

Split the fraction

[tex]x = \frac{10}{2} \± \frac{2\sqrt{31}}{2}[/tex]

[tex]x = 5 \± \sqrt{31}[/tex]


Related Questions

It is 186 miles from Sergio's house to his parents' house.

Twice a year, he drives to visit them.

Then he drives home.


How many miles does he drive on the two round-trips?


ANSWER CHOICES-


372 miles


424 miles


724 miles


744 miles

Answers

Answer:

Step-by-step explanation:

He drives double the distance from his house to his parents house.

Answer:

answer: 744

Step-by-step explanation:

He drives 744 because 186 × 4 = 744 because its 186 to go there then 186 to go back then 186 to go there then 186 to go back so that adds up to 744 Hope that helps!

1. What is the absolute value of 8?

Answers

Answer:

8

Step-by-step explanation:

Answer: 8

Step-by-step explanation: For absolute values, all values are positive. It is basically the positive inverse of the number.

Ariel and Eric dance in the village. Soon, others join in. Knowing that there are 130 toes, how many dancers are there?

- 30 people
- 10 people
- 13 people
- 3 people

Answers

Answer:

13 dancers

Step-by-step explanation:

Since each human has 10 toes, and there are 130 toes,

[tex]\frac{130}{10}=13[/tex]

So, there are 13 people dancing.

Which expression is equivalent to (see the picture)

A. 20x-21y +14
B. 20x + 11y + 14
C. 20x - 11y + 6
D. 20x + 21y +6

Answers

Answer:

A

Step-by-step explanation:

[tex]\frac{1}{5} (150x-80y+50-50x-25y+20)[/tex]

step 1 apply the 1/5 to everything that inside of the parenthesis

[tex]\frac{150x}{5} =30x\\\\\frac{-80y}{5} =-16y\\\\\frac{50}{5} =10\\\\\frac{-50x}{5} =-10x\\\\\frac{-25y}{5} =-5y\\\\\frac{20}{5} =4[/tex]

we now have 30x - 16y + 10 - 10x - 5y + 4

Step 2 combine like terms

30x - 10x = 20x

-16y - 5y = - 21y

10 + 4 = 14

we're left with 20x - 21y + 14 Which corresponds with answer choice A

Answer:

20x-21y+14

Step-by-step explanation:

1/5(150x-80y+50-50x-25y+20) is equal to 1/5(150x) + 1/5(-80y) + 1/5(50) + 1/5 (-50x) + 1/5(-25y) + 1/5(20)

So if we simplify, we would have 30x + (-16y) + 10 + (-10x) + (-5y) + 4, or 30x -16y + 10 -10x -5y + 4

When organizing the values by variable, the equation would look like this -

30x - 10x -16y -5y + 10 + 4

Combining like terms will result in 20x -21y + 14.

Hope this helps!

Helpppp pleaseeee please pretty please NO LINKS OR I WILL REPORT YOU please give an explanation I will mark brainliest

Answers

Answer:

A: 88 square inches

Step-by-step explanation:

trust me

what are the answers for these two questions? please also tell me HOW you got that answer

Answers

9. Multiply the money he has by the portion he spent:

75 x 3/5 = (75 x3)/5 = 225/5 = 45

He spent $45

10. First rewrite 4 1/8 as an improper fraction

33/8

Now multiply by 1/3:

33/8 x 1/3 = (33 x1) /(8 x 3) = 33/24 = 1 3/8

She spent 1 3/8 hours studying math.

What is 6 x 1 1\4 in fractions

Answers

3/2 i’m pretty sure. apologies if i’m wrong

Determine whether the underlined numerical value is a parameter or a statistic. Explain your reasoning. for a certain movie 64.3% of the 112 members of the audience were females

Answers

Answer:

The given numerical value  is a Parameter.

Step-by-step explanation:

Given - For a certain movie 64.3% of the 112 members of the audience were females.

To find - Determine whether the underlined numerical value is a parameter or a statistic.

Proof -

Given that, 64.3% of the 112 members of the audience were females.

Now,

64.3% of  112 = [tex]\frac{64.3}{100}*112[/tex] = 72.016

Since it is not a perfect number

And Human can not be in fraction

So,

The given numerical value  is a Parameter.

please help middle school math I will mark brainliest (picture included so it could be a little easier)

Point P is plotted on the coordinate grid. If point S is 12 units to the left of point P, what are the coordinates of point S? 10 NAG -12-10-864 -20 32 2 4 6 8 10 12 TP -6 -S 10 - 12 (6.-16) (-6.-16) o(-6,-4) (6,4)​

Answers

Answer:

(-6, -4)

Step-by-step explanation:

Original coordinates: (6, -4)

POINT S IS 12 UNITS TO THE LEFT OF POINT P.

There are multiple ways to solve this, but I will explain the easiest way.

We can subtract 12 from the x-coordinate.

This because the x-axis runs RIGHT and LEFT.

The y-axis runs UP and DOWN.

6 - 12 = -6

The y-coordinate stays the same.

The new coordinates are: (-6, -4).

Find the exact value of sin (13pi/8)

Answers

Answer:

degree 0.089

radian -0.92

Step-by-step explanation:

There are 39,945 people in a baseball stadium.
4,130 are rooting for the away team, and the rest
are rooting for the home team. Enter the number
of people who are rooting for the home team.

Answers

Answer:

35815

Step-by-step explanation:

just subtract

Answer:

35,815 people rooted for the home team.

Step-by-step explanation:

Subtract the total people watching by the people rooting for the away team.

39,945 - 4,130 = 35,815

Hope this helps! :)

NO Links OMG

I need help in these 4
help!!!!!!!!

Answers

can y’all look at my question plz all i’m getting is virus links and none is helping

Answer:

7- 780 m

8- 9,459 cm

9- 864 cm

10- 151 in

Step-by-step explanation:

7- The volume of a rectangular pyramid is:

V=(l x w x h) / 3

We just have to substitute the values:

V= 13×12×15 / 3V= 780 m

8- The volume of a cone is:

V=hπr² / 3

Let's substitute the values and solve:

24×π×19.4² / 39,458.9

If you want to round it, the answer will be:

9,459 cm

9- The volume of a square pyramid V = a²h / 3, where a is the base and h the height.

So,

V= 12²×18 / 3864 cm

10- The volume of the cone is V = hπr² / 3

Then,

V= 16×9×π / 3

9 is the diameter, which is the radius two times. As you see, what the formula asks is for the radius at the second power -multiplied by itself two times-, but if we get the diameter value instead, there is no need to multiply it. The diameter stays the same.

V= 150.7

If you want to round it to the nearest tenth, the answer is:

151 in.

Hope this helps!!

A Biology teacher wants to see if there is any difference in the abilities of students enrolled in biology today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following information. Today Five Years Ago 81 85 σ 14.5 8.5 n 81 36 ​ The point estimate for the difference between the means of the two populations is

Answers

Answer:

The point estimate for the difference between the means of the two populations is x1`-x2`= 81-85=-4 where x1` is the mean of the of the first population and x2` is the mean of the second population.

Step-by-step explanation:

The data given is

               Today               Five Years Ago

X`                 81                           85

σ              14.5                        8.5

n                81                          36

The point estimate for the difference between the means of the two populations is x1`-x2`= 81-85=-4 where x1` is the mean of the of the first population and x2` is the mean of the second population.

The test statistics that will be used is

Z= x1-x2/ √σ₁²/ n₁ + σ₂²/n₂

Z=  81- 85/ √14.5² /81 + 8.5² /36

z= -4/√210.25/81+ 72.25/36

z= -4/2.1454

z= -1.8644

Nth term for quaratic sequence -7,-6,-3,2,9,18,29

Answers

Answer:

-7, -6, -3, 2, 9, 18, 29, 42, 57

Rule: + 1, + 3, + 5, + 7, + 9, + 11, + 13, + 15, + 17......................

Amy knits 1/10 of a scarf in 4/5 of an hour. What fraction of scarf can Amy knit in 1 hour

Answers

Answer:

Amy can knit [tex]\frac{1}{8}[/tex] of a scarf in 1 hour.

Step-by-step explanation:

This question can be solved by proportions, using a rule of three.

We have that:

1/10 of a scarf - 4/5 of an hour

x of a scarf - 1 hours.

Applying cross multiplication:

[tex]\frac{4x}{5} = \frac{1}{10}[/tex]

[tex]x = \frac{5}{10*4} = \frac{5}{40} = \frac{1}{8}[/tex]

Amy can knit [tex]\frac{1}{8}[/tex] of a scarf in 1 hour.

giving out brainliest answer please help me out asap !! it’s due today

Answers

Answer:

180=3x+7x+10

simplify

180=10x+10

subtract 10 from both sides

170=10x

divide both sides by 10

x=17

Helppppppppppp!!!!! Please

Answers

Answer:

The answer is C.

Step-by-step explanation:

angle 5 and 4 makes a line which is 180 and since angle 5 equals 57 , 180-57=123.

Please help what’s this answer ?! And the last answer is 2/5

Answers

Answer:

F  0.45

Step-by-step explanation:

Total number of students: 15 + 8 + 27 + 10 = 60

Number of students who took theater: 27

part = 27/60 = 0.45 = 45%

Answer: F   0.45

Answer:

I'm answering for your last question....it wouldn't let me post under the one that I had to

anyways your answer is d

PLEASE HELP ME I CAN'T FAIL THIS, JUST 2 QUESTIONS!!

What is the volume of the composite figure if both the height and the diameter of the cylinder are 3.5 feet? Give the exact answer and approximate to two decimal places.

Find the height in centimeters of a square pyramid with a volume of 455cm3 and a base edge length equal to the height. Give the approximate answer rounded to 2 decimal places.

PLEASE SHOW YOUR WORK

Answers

It’s the first one have a good day

Each triangular face of the following solid figure is congruent. If the area of each face is 12 square inches, what is the
surface area of the entire figure?

Answers

Answer:

the surface area is 48in^2 because there are 4 faces and you have to find the surface are in which you must multiply 12 by 4.

Step-by-step explanation:

2x(27x+5) Evaluate this please

Answers

Answer:

54x^2 + 10x

Step-by-step explanation:

A picture frame measures 5 inches wide and 7 inches long. What is the perimeter of the frame?

Answers

The perimeter is 24.
Remember finding perimeter is always adding, so add 5 two times for the sides do the shape, do the same for 7, then you get your answer. Hope this helps!
the answer would be 24, 5+5+7+7=24

what is 95.03317777 to 1 decimal place​

Answers

i think it is 95.0 so 95

Hope this helped :T

I checked on my calculator and yes in fact it is 95

This is the first year Janis is playing softball. She has been practicing her batting. On her last swing the bat made an arc with a radius of 49 inches and swept
through 283 of rotation. Assuming the arc is circular, what is the distance the tip of the bat travels to the nearest inch?

Answers

Answer:

2*pi*49*283/360=242 (to the nearest inch)

the distance the tip of the bat travels 242 inches.

Quick question, so if I put a certain or any amount of points for a question will they be deducted from my points?

Also what happens if I have 0 points, can I no longer ask people questions?

Here's a free 30pts btw.

Answers

Answer:

if u have o points u have to answers people questions correctly u can't ask people for questions u need a 10 point then u can but no points me no answers

Answer:

Yes, they will be deducted from your own points. If you have zero points you will no be able to ask questions because the minimum points it is to ask a question is 10 points, but you can always gain points by answering others questions :D

Step-by-step explanation:

Hope this helped! Thank you for the points :)

Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is. x – 2?.
A.) 3x^2 + x – 10
B.) 3x^2 – 10
C.) 3x^2 – 11x – 10
D.) 3x^2 – x – 10

Answers


Area = l x w
Area = (3x+5)(x-2)
Area = 3x² - 6x + 5x - 10
Area = 3x² - x - 10



the correct answer is option D.

Can someone help me with question 1 and 2 please​

Answers

question 1)
there’s 180 degrees in a triangle
70 + 70 = 140
180 - 140= 40
A= 40
question 2)
there’s only one line of symmetry, down the middle

Answer only if you know if you put links I will report

Answers

Answer:

WHATS THE QUESTION, BRO??

Step-by-step explanation:

Write a division problem that has a quotient of 9/10 .

At least one of the numbers you give must be a proper fraction. The other can be a proper fraction, whole number, or improper fraction. Neither the dividend nor the divisor can be 9/10 .

Answers

Answer:

Ill answer this if you answer mine , |a+5|, if a is <-5

Step-by-step explanation:

im a boy im in 7th grade 13 years old and single i need some help

Answers

single too and 13 I can't help bc I ain't smart

Other Questions
PLS HELPP MEEE Fiber-optic cables rely on total internal reflection.Please select the best answer from the choices providedTF The average daily volume of a computer stock in 2011 was million shares, according to a reliable source. A stock analyst believes that the stock volume in 2014 is different from the 2011 level. Based on a random sample of trading days in 2014, he finds the sample mean to be million shares, with a standard deviation of s million shares. Test the hypotheses by constructing a % confidence interval. Complete parts (a) through (c) below. (a) State the hypotheses for the test. : mu equals million shares : mu not equals million shares (b) Construct a % confidence interval about the sample mean of stocks traded in 2014. The lower bound is nothing million shares. The upper bound is nothing million shares. (Round to three decimal places as needed.) (c) Will the researcher reject the null hypothesis? Two sides of a triangle measure 7 feet and 19feet. Write an inequality to represent the rangeof lengths for the third side. In the 1930s, many Americans did notsupport European interventionbecause they believed the U.S._________O was not threatenedO was scared of HitlerO had great prosperityO had the largest military Solve for the inequality for p. write it out in simplest form. Please help! :) 4p1 3p10 18 cm10 cm15 cmFind the area of the triangle.[?] square centimeters Hey guys, so earlier today i ask ya'll how to get my crush to notice me and mostly everyone said to like be her friend and like ask her to hang out and to shoot my shot. So now my question is "should i still tell her i like her if she's my best friend?" A square playground has sides that each measure 120 feet in length.On a scale drawing, 1/4 inch represents 5 feet on the playground. How long is a side of this playground on the scale drawing? 3. A form of government that splits power between independent states and a central government. *(5 Points)UnitaryFederalMonarchyConfederal Helen bought 1 pint of fruit juice. What is the quantity of fruit juice bought by her in fluid ounces? A. 10 fl. oz. B. 12 fl. oz. C. 16 fl. oz. D. 20 fl. oz. 2. Plankton are major producers in marine ecosystems. Only a small proportion of the energyharvested by plankton is passed to the primary consumers. Which process in phytoplankton resultsin the largest loss of energy that could otherwise be utilized by consumers?A MovementB. HomeostasisC. ExcretionD. Respiration I need help pls hurrrryyyyyyyy Is Mulan's father angry that he is called to fight in the war? Why or Why not? which of the following is NOT a character in Leigh Bardugo's "Shadow and Bone" (the book version)A.) Alina StarkovB.) Inej GhafaC.) Zoya NazyalenskyD.) Genya Safinfr.ee points, have a nice day This week you will watch the movie Enron. You will then write an essay. 3 pages 12pt font double space. Title page, reference page, citations throughout. In the essay, research the history of Enron. Talk about the company. What did they do wrong Can someone help me solve this pls sie sind geflohen haben nach acht jahren geschafft he red figure is similar to the blue figure. Which choice describes a sequence of transformations in which the blue figure is the image of the red figure?Dilate the triangle with respect to the origin using a scale factor of 12 and then translate it 4.5 units down and 5 units right.Dilate the triangle with respect to the origin using a scale factor of 2 and then translate it 6 units down and 8 units right.Dilate the triangle with respect to the origin using a scale factor of 12 and then translate it 6 units up and 8.5 units left.Dilate the triangle with respect to the origin using a scale factor of 2 and then translate it 9 units up and 9 units left. Help plzanswer 15 points a study guide can be created A. on a computer B. by hand C. both of these D. none of these