Mathematics High School

SHOW YOUR WORK WILL MARK BRAINLIEST IF YOU GET IT RIGHT solve by completing the square X²+6x-22=0​

Answers

Answer 1

9514 1404 393

Answer:

  x = -3±√31 ≈ {-8.568, +2.568}

Step-by-step explanation:

The usual steps are to ...

  group the x-terms

     (x² +6x) -22 = 0

  add and subtract the square of half the x-coefficient

     (x² +6x +(6/2)²) -22 -(6/2)² = 0

  simplify to a binomial square

     (x +3)² -31 = 0

Solve for x.

  (x +3)² = 31

  x +3 = ±√31

  x = -3 ±√31 . . . . . solution to the quadratic

SHOW YOUR WORK WILL MARK BRAINLIEST IF YOU GET IT RIGHT Solve By Completing The Square X+6x-22=0

Related Questions

what is the HCF of 9a² -6ax​

Answers

Answer:

I love you hddmekelejeyeneoeleemeh

(WILL GIVE BRAINLIEST, THANKS, AND 5-STAR RATING)
DA is tangent to the circle at A, and DC is tangent to the circle at C. Find m∠D for m∠B = 56. (The figure is not drawn to scale.)
a. 136
b. 124
c. 68
d. 62

Answers

Answer:

Step-by-step explanation:

68°

6 +5r < 31
Please help

Answers

Answer:

r <5 u do 31-6 than divided by 5r

Flying against the wind, a jet travels 5920 miles in 8 hours. Flying with the wind, the same jet travels 10.980 miles in 9 hours. What is the rate of the jet in still air and what is the rate of the wind?

Answers

Here is my answer. I hope this is helpful.

Ast year at rt university the ratio of the number of students accepted to the number of students applying for admission was 2 to 7 rt niversity accepted 630 students last year how many students applied to the rt university last year

Answers

Answer: 2205

Step-by-step explanation:

Ratio of the number of students accepted to the number of students applying for admission = 2:7

Number of students accepted = 630 students

Number of students that applied will then be represented by x. This will be:

2/7 = 630/x

2 × x = 630 × 7

2x = 4410

x = 4410/2

x = 2205

The number of students that applied to the university was 2205

Solve for the following equation for the variable below:

-9.6x + 1.8 = -12.3

Answers

Answer:

x=1.46875 or x=1.5

Step-by-step explanation:

1st step subtract 1.8 on both sides

-9.6x=-14.1

2nd step divide -9.6 on both sides

x=1.46875

or

x=1.5

Hope this helps!!!

Have a good day!!!

if 2 quantities are in direct proportion, what happens if one quantity increases?

Answers

Will increase cause of direct increase

annuity due
$1,000,000
3 years
6.1%
Compounded semianually

Answers

Answer: $357,911,000
Explanation: use formula A=P(1+i)^n (P meaning the funds, $, i meaning the %, and n being the number of years).

In a biology lab, 500 bacteria reproduce by splitting. Every hour, on the hour, each bacterium splits into two bacteria.

Answers

Answer:hour 1 500, hour 2 1000, hour 3 2000 , hour 4 4000

Step-by-step explanation:

After 1 hour 500 bacteria split into 500 bacteria.

After 2 hour 500 bacteria split into 1000 bacteria.

After 3 hour 500 bacteria split into 1500 bacteria.

After 4 hour 500 bacteria split into 2000 bacteria.

Given that,

In a biology lab, 500 bacteria reproduce by splitting.

Every hour, on the hour, each bacterium splits into two bacteria.

We have to find,

Find the number of bacteria after 4 hours.

According to the question,

Let us assume n = the number of bacteria at a given hour.

Total number of bacteria = 500

At the end of 1 hour each of the 500 bacteria after an hour is split in to 2 bacteria. So, at the end of 1 hour = n(1)  = 1 × 500 = 500 After 1 hour 500 bacteria split into 500 bacteria.

At the end of the 2 hour, each of the 500 bacteria will split in to 2 more bacteria. So, n(2)  = 2 x 500  = 1000 bacteria After 2 hour 500 bacteria split into 1000 bacteria.

At the end of the 3 hour, each of the 500 bacteria will split in to 2 more bacteria. So, n(3)  = 500 x 3  = 1500 bacteria After 3 hour 500 bacteria split into 1500 bacteria.

At the end of 4 hours, each of the 500 bacteria spilt into 2 more bacteria.

       So,  n(4)  = 4 × 500 = 2000 bacteria

       After 4 hour 500 bacteria split into 2000 bacteria.

To know about Multiplication click the link given below.

https://brainly.com/question/15116783

 

Use the diagram to find the measures of each angle. Explain your reasoning.
А
E
B
С
50°
D

Answers

Answer:

angle ABC is 130 degrees

Step-by-step explanation:

This is the quickest and simplest way to gind the answer.

Angle CBD and angle ABC are linear pairs. Linear pairs are supplementary meaning angle CBD and angle ABC equal 180 degrees. Since angle CBD is 50 degrees and you know both angles need to add up to 180 degrees all you need to do is subtract 180 from 50 degrees.

PLZZ HELP??!!! what is it equivalent to???!!!

Answers

Answer:

8x² - 13x - 17

Step-by-step explanation:

8x² - 15x + 3) - (20 - 2x) = 8x² - 15x + 3 - 20 + 2x = 8x² - 13x - 17

Answer:8x^2 − 13x − 17~Simplify the expression to get the answer, 8x^2 − 13x − 17 or [tex]8x^{2} - 13x - 17[/tex]~

Thank you for taking the time to read this!

And I hope you have a good day, Loves!

Also if I'm right can you let me know, please?

Also Also if I am right can I please have Brainliest??

You don't need to, I'm just glad I could help. ^^

(If I did help-)

And don't forget to eat a full meal, and have at least one cup of water today!

write 25387 correct to 4 significant figures

Answers

Answer:

25,390

Step-by-step explanation:

The computation is shown below

Given that

There is a number i.e. 25387

Based on the above information

The given numbers should be written in 4 significant figures

So here the number after considering 4 significant figures is 25,390

Hence, the above represents the answer

I don’t know if this is correct. Please help !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

a translation left 6 units and up 4 units

Answer:

Step-by-step explanation:

The figures are congruent, so all you need do is pick 1 point from each figure and tell what it does. I'm going to go from Figure J to figure K

I will pick the point (-4,8) on J. It is the furthest point upwards.

Where is that same point on K? It is at (2,4)

So what happened?

You've moved from -4 to 2 on the x value.

You've moved from 8 to 4 on the y value

You moved right (-4 to 2) = 6 units and

down (8 - 4) = 4 units

What would happen if you went from K to J

This time you have moved 6 units left and 4 units up.

A bottle of water contains 500 ml.
A larger bottle holds 30% more.
How much does the larger bottle hold?

Answers

Answer:

650ml

Step-by-step explanation:

30% = 0.30

0.30 x 500 = 150

500 + 150 = 650

Based on this data, what is a reasonable estimate of the probability that Nate scores 8-11 points next basketball game?

Answers

Answer:

[tex]Probability = \frac{8}{25}[/tex]

Step-by-step explanation:

Given

See attachment for graph

Required

Determine the probability of getting a score of 8 - 11 points in the next game

From the attachment, the frequency of the class 8 - 11 is:

[tex]Class\ 8 - 11 = 8[/tex]

Also, from the attachment, the total frequency is:

[tex]Total = 3 + 5 + 8 + 6+2+1[/tex]

[tex]Total = 25[/tex]

The required probability is:

[tex]Probability = \frac{n(8 - 11)}{Total}[/tex]

[tex]Probability = \frac{8}{25}[/tex]

For the equation y = 3x2 - 4x + 11, choose the correct application of the quadratic formula.

Answers

Starting off, if you understand the quadratic formula (if you don’t look up the formula) you’re looking for A,B, and C. A is 3, B is -4, and C is 11. You would then plug in these numbers following the quadratic formula, which results in;

The first option is the correct one. :)

Diana has a pentagonal garden with the dimensions shown in the diagram. What is the area of Diana’s garden?

Answers

Answer:

n, vsfd

Step-by-step explanation:

tmb te amo krai

please can someone help me with this question.

Answers

Answer:

Step-by-step explanation:

Another one I need help with will give you the brainliest

Answers

Answer:

40

Step-by-step explanation:

because to find surface area, you need to know this formula: length * width * height.

so, 5 * 1 * 8 is 40

Try 106 then since you said the other person’s answer was wrong.

Riley is saving up to buy a new television. She needs a total of $1,150.89. Riley has saved $200.13 already and earns $79.23 per
week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
A. 12
B. 13
C. 11
D. 10

Answers

Answer:

A. 12

Step-by-step explanation:

$1,150.89 - $200.13 = $950.76

$950.76 / $79.23 weekly = 12 weeks

To check:

12 weeks x $79.23 = $950.76

$950.76 + $200.13 = $1,150.89

If Riley works for 13 weeks she will have
1,229.99, enough to buy the tv.

How does a quadratic function relate to volleyball and what aspects of quadratic functions are there?

Answers

Answer:

Volleyball players want to keep their serves as close to the net as possible, so the ball travels for a shorter period of time. Say a volleyball player serves the ball across the court. If we can model this situation with the function y=-0.006(x−21)2+9, where x is the distance from the player and y is the height, then we can determine if the ball clears the net and lands in bounds 61 feet away1. It may be helpful to analyze this situation graphically, and we consider how to do that in this section.    

Step-by-step explanation:

nope

Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?

Answers

Answer:

2/3

Step-by-step explanation:

Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?

1 decametre = 10 metres

Hence,

10 meters = 6 pieces of ribbon

1 meter = x pieces

Cross Multiply

10x = 6

x = 6/10

x = 2/3 (1 meter pieces of ribbon)

Look at the the four patterns below.
-16, -8,-4, -2,
16, 19, 22, 25,
1 + 2 + 4 + 8 +,
16, 12, 9, 27/4,81/16
Which pattern does not belong? Write at least one
sentence to explain your reasoning.

Answers

Answer:

27/4,81/16

Step-by-step explanation:

James is raising money for his school by selling chocolate bars for $2 each. Before he started his uncle gave him $10 towards his goal.

What is the slope :
What is the Y-intercept:

Answers

Slope: 2x and Y intercept: 10

F(x)=4x^2-7x+7 Find f(7)

Answers

Answer:

154

Step-by-step explanation:

Because since it says find f(7) you plug the 7 into the x's so it would be...

4(7)^2-7(7)+7= 154

This is an expression 3.2.t Evaluate the expression when t = 1

Answers

if t equals one the equation is 3.2 because the one keeps it the same

There are 32 students in a class. Nine of those students are women. What percent are men? (round to the nearest tenth)​

Answers

3.5 or 7/2 if you need a fraction

Its 20 because, 32 -  9 = 23 and your rounding so its 20

Which expression shows the prime factorization of 180?



22 X 32 X 5


2 X 32 X 52


2 X 3 X 5


22 X 3 X 52

Answers

Answer:

1- 3520

2- 3328

3- 30

4- 3432

Step-by-step explanation:

Answer: Choice A)  2^2*3^2*5

========================================================

Explanation:

To find the prime factorization, we'll start by dividing 180 by the smallest prime number

Divide 180 by 2 to get 180/2 = 90

Divide that by 2 to get 90/2 = 45

Then note how 45/2 = 22.5 isn't a whole number, so that means we move onto the next prime number 3

45/3 = 15

15/3 = 5

The denominators we used, in order, were: 2, 2, 3, 3

This means that 2*2*3*3 is part of the factorization. We can condense that to 2^2*3^2

The last term 5 is the final missing piece of the factor puzzle

Meaning, 2^2*3^2*5 = 180

I recommend you use a calculator to confirm this.

100 points if you can answer all of these questions correctly. First person to answer all correctly and accurately gets Brainliest.

Answers

Answer:

For the first two problems, there is nothing that I should solve for, lmk and I will solve it again. For now, I just solved for the sector.

Step-by-step explanation:

1. s=(7pi)/2

2. s=14pi/5

3. 240

4. s=((pi)r(<APC))/180

the circumference of the circle is 20pi and ABC is 16pi so the minor arc AC is 4pi=s

4pi=(pi)(10)(x)/180

x=72

Hope that helps :)

Use the below formula of Arc length

L=Ø/180×πr

#1

L

126/180(π(5))126π/367π/2

#2

L

84/180π(6)84π/3014π/5

#3

Ø=111+129=240°

L

240/180(π(6)240π/308π

#4

L=Ø/180(πr)Ø=180L/πr

Ø=

180(16π)/π(10)18(16)288°

pls find side a! is due soon!

Answers

Answer:

Step-by-step explanation:

sin30=a/17

a=17sin30

a=8.5 m

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