What are the roots of the quadratic equation x²-81=0

Answers

Answer 1

Answer:

What are the roots of the quadratic equation x²-81=0

Answer 2

Answer:

x = ± 9

Step-by-step explanation:

Given

x² - 81 = 0 ( add 81 to both sides )

x² = 81 ( take the square root of both sides )

x = ± [tex]\sqrt{81}[/tex] = ± 9

Thus roots are x = - 9, x = 9


Related Questions

If you do this, I'll give you the crown.
Solve each problem.
The classroom had 25 glue sticks. If the ratio of glue sticks to glue bottles was 5 : 2, how many glue bottles did the classroom have?


Answer:

A student finished 8 of her homework problems in class. If the ratio of problems she finished to problems she still had left was 4 : 1, how many homework problems did she have total?


Answer:

A recipe called for the ratio of sugar to flour to be 7 : 3. If you used 63 ounce of sugar, how many ounces of flour would you need to use?


Answer:

Write an equation for each using the variables provided.
For each pound there are 16 ounces.
Write an equation to express the total number of ounces (Z) in (Y) pounds.

Equation:


Every dollar is 4 quarters.
Write an equation to express the total number of quarters (Q) in dollars (D).

Equation:


Word Problems. You must show your work and answer to get full credit.
Henry and Grace had the same amount of money. After Henry spent $28 and Grace spent $16, the ratio of the amount of money Henry had to the amount of money Grace had was 2 : 5. How much money did each of them have at first?

You may create a tape diagram to help you.
(copy & paste)

Henry:

Grace:



Three clerks can type six documents in 12 days. At this rate, how long will it take for two clerks to type three such documents?

Answers

The classroom had 25 glue sticks. If the ratio of glue sticks to glue bottles was 5 : 2, how many glue bottles did the classroom have?

5 sticks / 2 bottles

25 sticks / x bottles

10 bottles

Answer:  10 bottles

A student finished 8 of her homework problems in class. If the ratio of problems she finished to problems she still had left was 4 : 1, how many homework problems did she have total?

8 finished

4 finished / 1 left

8 finished / 2 left

10 total

Answer:  10 total problems

A recipe called for the ratio of sugar to flour to be 7 : 3. If you used 63 ounce of sugar, how many ounces of flour would you need to use?

7 sugar / 3 flour

63 oz sugar / x oz flour

27 oz flour

Answer:  27 oz flour

Write an equation for each using the variables provided.

For each pound there are 16 ounces.

Write an equation to express the total number of ounces (Z) in (Y) pounds.

1 lb / 16 oz

Z = 16Y

Equation:  Z = 16Y

Every dollar is 4 quarters.

Write an equation to express the total number of quarters (Q) in dollars (D).

1 dollar = 4 q

Q = 4D

Equation:  Q = 4D

Word Problems. You must show your work and answer to get full credit.

Henry and Grace had the same amount of money. After Henry spent $28 and Grace spent $16, the ratio of the amount of money Henry had to the amount of money Grace had was 2 : 5. How much money did each of them have at first?

You may create a tape diagram to help you.

(copy & paste)

( H - 28 ) / ( G - 16 ) = 2 / 5

H - 28 = 2

H = 30

G - 16 = 5

G = 21

Henry:  30

Grace:  21

Three clerks can type six documents in 12 days. At this rate, how long will it take for two clerks to type three such documents?

3 clerks take 12 days to write 6 docs

1 clerk takes 4 days to write 2 docs

2 clerks take 8 days to write 4 docs

8 : 4

3/4 * ( 8 ) : ( 4 ) * 3/4

6 : 3

6 days

It cost Emma $5.34 to send 178 text messages. How much does each text cost to send?

Answers

Answer:

approximately $0.33

Step-by-step explanation:

you just do 178/5.34

Joey has 25 candy bars and is addin 2 candy bars to his collection each day. How many days will it take him to reach 51 candy bars?

(yes I'm really dumb and yes I have one minute to turn this in as a major grade :))​

Answers

Answer:

13 days

Step-by-step explanation:

51-25=26

26/2=13

Will give BRAINLIEST!

Answers

Step-by-step explanation:

install microsoft math and do something like this...

At an end-of-summer clearance sale, Nathan sees a hat marked "65% Off." The original price was $12.98.
Part A
How much money is discounted from the original price? Show your work. Round your answer to the nearest cent.

Answers

Answer:

$4.54

Step-by-step explanation:

Because if you take $12.98 and multiply that by 65% you will get 8.437 and when you subtract that by the original amount you will get $4.54.

In a recent year, the Better Business Bureau settled 75% of complaints they received. (Source: USA Today, March 2, 2009) You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Assume the population proportion of complaints settled for the computer stores is the 0.75, as mentioned above. Suppose your sample size is 101. What is the probability that the sample proportion will be within 3 percent of the population proportion?

Answers

Answer:

0.5137

Step-by-step explanation:

The margin of error equals the critical value times the standard error.

MoE = CV × SE

In this case, the critical value is the z-score.

For a proportion, the standard error is:

SE = √(pq/n)

SE = √(0.75 × 0.25 / 101)

SE = 0.04309

Therefore:

0.03 = z × 0.04309

z = 0.6963

So the probability is:

P(-0.6963 < Z < 0.6963)

= P(Z < 0.6963) − P(Z < -0.6963)

= 0.7569 − 0.2431

= 0.5137

find the length of x

Answers

The correct answer is B

What other combinations of sides and angles do you think we can use to conclude that the triangles are congruent?

Answers

Ansi need this too

Step-by-step explanation:

Can some one send me the Answers to this book plzz

Answers

Answer:

all of the answers should be in the back

Step-by-step explanation:

In the figure below, =m∠2=33 Find m∠1, m∠3, and m∠4. 20pts!!!

Answers

Answer: measurement 1, and 3 is 147. Measurement 4 is 33

If 3x-y=12, then y/3=?

Answers

Answer:

4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

To find what y equals, x has to be 0.

3x-y=12

3(0)-y=12

-y=12        (multiply by -1 so y is not negative)

y=-12

Because y=-12 you need to do -12/3 to get your answer to y/3

-12/3=-4

pls help asap for brainiest answer!

Answers

Answer:

Quest 1. is C, i.e 8. besides thier base are equal.

Quest 2. is D

Wuest 3. is C

write an equation for the line Below​

Answers

Answer:

y=-1/2x

Step-by-step explanation:

Answer:

y=-1/2x

Step-by-step explanation:

shown in graph

Drawing one card from a standard deck of cards. what is the sample space and outcome?

Answers

Answer:

sample space 2 inches outcome  1/52

Step-by-step explanation:

Is 1/3 a repeating decimal ?

Answers

Answer:

yes i also poop on poop though so it is fun

Step-by-step explanation:

1/3= poop

Answer:

Yes.

Step-by-step explanation:

1/3 = 0.333333333

Please help me with these 2 questions :(

Answers

Answer:

1st: y=-2x-3

2nd:y=-2x-13

Step-by-step explanation:

Since the line is parallel to y = -2x-4, its slope is -2. Therefore, we have the equation y=-2x

But when we evaluate that equation at -1, we get -2(-1)=2, but we want to make it equal to -1 when evaluated at -1. Therefore, we can subtract 3, as 2-3=-1.

Therefore, the equation is y=-2x-3.

For the second question, we can use a similar concept. The slope will be -2, but if you directly evaluate it at -4, it's going to be 8, but we want it to be -5, so we subtract 13.

Therefore, the equation is y=-2x-13

Problem 1

Answer:  y = -2x-3

--------------

Explanation:

Parallel lines have equal slopes but different y intercepts.

Linear equations in the form y = mx+b have slope m and y intercept b.

The slope of y = -2x-4 is m = -2

So any parallel line to this will also have m = -2

Plug (x,y) = (-1,-1) along with the value of m, into y = mx+b and solve for b

y = mx+b

-1 = -2(-1)+b

-1 = 2+b

2+b = -1

b = -1-2

b = -3

The parallel line is y = -2x-3

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

Problem 2

Answer:  y = -2x-13

--------------

Explanation:

We'll use the same ideas and steps as problem 1.

y = -2x-5 has slope m = -2

The parallel line also has slope m = -2

We want the parallel line to go through (x,y) = (-4,-5)

So,

y = mx+b

-5 = -2(-4)+b

-5 = 8+b

8+b = -5

b = -5-8

b = -13

The parallel line is y = -2x-13

jacinda May 16 baskets during the basketball game Greta May 4 baskets the number of baskets jacinda made is how many times more than a number of baskets Greta made

Answers

Answer:

4

Step-by-step explanation:

what is the equation of the line for figures G and
H

Answers

Answer:

B = C + (C - A) = (51/50 + 51/50 - 2, 457/50 + 457/50 - 9) = (1/25, 232/25).

Step-by-step explanation:

Can someone please help, ty!!

Answers

the correct graph is A

Answer:

A

Step-by-step explanation:

if its negative its going to face downwards

also, the +3 means you go up on the y axis

if its just x its 1/1

express the polynomial 5x^2+8x^5-3^3+4-9x in standard form

Answers

Answer:

The answer is 8x^5 + 5x^2 + 9x − 31

Using the table, what is the average daily balance of the credit card for the August 1 - August 31 billing period? Round your answer to the nearest cent. Do not include a dollar sign or comma in your answer. For example, $5, 678.00 should be entered as 5678.00.
DAY| ACTIVITY| ADJUSTMENT| BALANCE
1. --- ---- 1500
4. payment. -400. 1100
14. payment. -250. 850
24. payment. -100. 750​

Answers

Answer:

967.74

Step-by-step explanation:

The average daily balance of the credit card for the August 1 - August 31 billing period is $943.55.

What is the average daily balance?

The average daily balance can be determined by dividing the total daily balaces for August by the number of days in August.

The average daily balance = total balance / total number of days in Augst.

Total balance = (1500 x 3 days) + (1100 x10 days) + (850 x 10 days) + (750 x 7 days)

Total balance = 4500 + 11,000 + 8,500 + 5,250 = 29,250

The average daily balance = 29250 / 31 = $943.55

To learn more about division, please check: https://brainly.com/question/194007

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the last washer is 7/10 pls help me thank u

Answers

Answer: The answer is 7/21

6*? -4=17. Please answer my question

Answers

Answer:

3.5

Step-by-step explanation:

add 4

6x=21

divide by 6

x=3.5

-17 + 20 + (-3)
SOMEBODY HELP ME PLS ASAP

Answers

Answer:

0

Step-by-step explanation:

Hi - hi = x

(x) - hi + no = y

(y) x (x) =?

If you can solve this you get brainliest.

Answers

Answer:pi=72628

Step-by-step explanation:

Answer:

hi=bye

Step-by-step explanation:

the cell phone cost 271 monthly the water gas and electric cost 1270 what is the yearly total for the water gas and electricity

Answers

Answer:

Cell phone monthly 271 X 12 = 2,052

water and gas yearly 1270 + 2,052 =3,320

3,320 is you're answer.

Step-by-step explanation:

What is 60 percent of 92?
O 1.53
0 5.52
O 15.3
0 55.2

Answers

60 percent of 92 is 55.2 after applying the concept of the percentage, option (D) 55.2 is correct.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

60 percent of 92

Let x be the 60 percent of the 92

x = 60 % of 92

x = (60/100)92

x = 55.2

Thus, 60 percent of 92 is 55.2 after applying the concept of the percentage, option (D) 55.2 is correct.

Learn more about the percentage here:

brainly.com/question/8011401

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During your morning workout, you run for 20 seconds for every 3 seconds you sprint. Determine the constant of proportionality for the ratio between the number of seconds you run and the number of seconds you sprint.​

Answers

Answer:

Constant of proportionality; k = 20/3

Step-by-step explanation:

Let running be A and sprinting be B.

Now, we are told that you run 20 seconds for every 3 seconds you sprint.

This means that is directly proportional to B and written as; A ∝ B.

Now, constant of proportionality is simply the ratio between 2 quantities that are directly proportional.

Thus, A = kB

Where k is the constant of proportionality

Plugging in the values of A and B we are given, we have;

20 = 3k

Divide both sides by 3 to get;

k = 20/3

Please help what Is
1/5 x -9.5

Answers

Answer:

-1.9

Step-by-step explanation:

Hope this helps!

Answer:

-1.9

Step-by-step explanation:

0.2 x -9.5 = -1.9

Which expression is equivalent to 32 ⋅ 3−5?

Answers

Answer:

91

Step-by-step explanation:

Using the PEMDAS method (parentheses exponenets multiplication division addition subtraction), we know that since 3-5 is not in parentheses, we have to multiply before we subtract. So first, we must multiply 32 x 3 to get a product of 96. Then we must subtract, 96 - 5 = 91. Therefore, your answer is 91.

Hope this helped! Good luck!