Find x so the distance between the points (x,2) and (-1,-2) is [tex]2\sqrt{5}[/tex]

x =_____ , ______

Answers

Answer 1

Answer:

x = -5 , 3

Step-by-step explanation:

(x₁ , y₁) = (-1, -2)    & (x₂, y₂) = (x , 2)

[tex]Distance =\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\\\\sqrt{(x - [-1])^{2}+(2-[-2])^{2}}=2\sqrt{5}\\\\\sqrt{(x+1)^{2}+(2+2)^{2}}=2\sqrt{5}\\\\\sqrt{(x)^{2}+2x+1+(4)^{2}}=2\sqrt{5}\\\\\sqrt{x^{2}+2x+1+4}=2\sqrt{5}\\\\\sqrt{x^{2}+2x+5}=2\sqrt{5}[/tex]

Take square both sides,

x² + 2x + 5 = (2)²(√5)²               {(√5)² = √5*√5 = 5 }

x² + 2x +5 = 4 * 5

x² + 2x + 5 = 20

x² + 2x + 5 - 20 = 0

x² + 2x  -15 = 0

x² + 5x - 3x  - 5*3 = 0

x(x + 5) -3(x + 5)=0

(x + 5)(x - 3) = 0

x + 5 = 0     ; x - 3 = 0

x = -5        ;    x = 3

x = -5 , 3


Related Questions

Japanese pan noodles. Ten students order noodles at a certain local restaurant. Their orders are placed independently. Each student is known to prefer Japanese pan noodles 40% of the time (it is a very popular and tasty dish!). a. What is the probability that all ten of the students order Japanese pan noodles

Answers

Answer:

The probability that all ten of the students order Japanese pan noodles is 0.0001048576.

Step-by-step explanation:

Note: See the attached Microsoft word file for the calculation.

It takes_ hours to reach the sea.

Answers

Answer:

it takes 1 hours to reach the sea.

Answer:

It takes 0.02 hours to reach the sea

Step-by-step explanation:

The answer is 0.02 hours because:

1) You have to divide 0.5 and 21

2) The answer would be: 0.0238095238

3) Now, round you answer to the nearest hundredth.

4) Your answer will be 0.02

Hope this helps!

one millon divide by 473.8​

Answers

Answer:23(22.95684113865932)

Step-by-step explanation:

Find the midpoint of the line segment with the given endpoints (-3,1 -2,8) (-4.92,-3.3)

Answers

(2,-2), (3,-3)
(1,1) , (3,3)
(2,4), (-3,-3)

please help , i don’t know how to do these

Answers

2) 94, 124, 154

3) 8, 12, 16

4) -428, -528, -628

5) - 98, -118, 138

6) 13, 18, 23

What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form. Show your work. Is the product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x – 2 and 3x2 + 5x - 7? Explain your answer.

Answers

Answer:

a) 6x³ − 5x² − 39x + 35

b) no

Step-by-step explanation:

(2x − 5) (3x² + 5x − 7)

Distribute:

3x² (2x − 5) + 5x (2x − 5) − 7 (2x − 5)

Distribute again:

6x³ − 15x² + 10x² − 25x − 14x + 35

Combine like terms:

6x³ − 5x² − 39x + 35

5x − 2 is the opposite of 2x − 5, so you would get the negative of the answer from part (a).

Imagine a population of 100 individuals, with the initial frequencies A1 = 0.7 and A2 = 0.3. If A1 and A2 are selectively neutral what is the probability that the A2 allele will drift to fixation?
a. 70%
b. 30%
c. 3%
d. 0

Answers

Answer: b. 30%

Step-by-step explanation:

given data:

population size (n) = 100

A1 = 0.7

A2 = 0.3

if A1 and A2 are selectively neutral, the probability that A2 would drift to fixation

= 0.3

= 30%

there is a. 30% chance that A2 would drift towards fixation.

Plz hellppp -4(x-2) +5 = -10

Answers

Answer:

The answer is 5.75

Step-by-step explanation:

I used desmos

Steps to solve:

-4(x - 2) + 5 = -10

~Distribute left side

-4x + 8 + 5 = -10

~Combine like terms

-4x + 13 = -10

~Subtract 13 to both sides

-4x = -23

~Divide -4 to both sides

x = 23/4

Best of Luck!

Which of the following r-values indicates the strongest correlation? r-value = 0.73 r-value = 0.73 r-value = 0.99 r-value = 0.99 r-value = - 0.85 r-value = - 0.85 r-value = - 0.17

Answers

Answer:

[tex]r-value = 0.99[/tex]

Step-by-step explanation:

Given

The list of options

Required

Which represents the strongest correlation.

When [tex]r-value > 0.7[/tex], it is considered to be strong.

Compare this condition with the given options, we're left with:

[tex]r-value = 0.73[/tex]

[tex]r-value = 0.99[/tex]

The above r-values show strong correlation.

However

[tex]r-value = 0.99[/tex] is stronger

because [tex]0.99 > 0.73[/tex]

Hence;

[tex]r-value = 0.99[/tex] answers the question

(1+3d)9
Can someone help me find the distribute this

Answers

Answer:

D = 5

Step-by-step explanation:

1 plus 3 equals 4 plus 5 equals 9

9 + 27d

I believe this is correct

Tina is saving to buy a notebook computer. She has two options. The first option is to put $300 away
initially and save $10 every month. The second option is to put $100 away initially and save $30 every
month. After how many months would Tina save the same amount using either option? How much
would she save with either option?
After
months, Tina will save $
with either option.

Answers

Answer:

Step-by-step explanation:

The number of months is our unknown, which we will call x. y is the amount she saves. Representing the fact that she puts $10 away per month is 10x. If she puts $300 down initially and then adds 10 per month to that, the first equation is

y = 10x + 300

The same goes for the second option. Putting $30 away every month is represented as 30x, and if she is starting with 100 and adding 30 a month to it, the second equation is

y = 30x + 100

We are being asked to find the number of months where the amount Tina saves is equal. Since y is the amount Tina has saved and we want to know when these amounts are equal, we will set the equations equal to each other and solve for x, the number of months.

10x + 300 = 30x + 100 and

200 = 20x so

x = 10. After 10 months, Tina will have saved the same amount of money regardless of which option she has chosen. This is only true for 10 months though. After that, one will show more of a savings than the other.

The temperature outside in -5°C on Monday. Overnight it drops by 3°C. Between 9 am and noon the next day it rises 2°C. What is the temperature on Tuesday at noon?

Answers

Answer:

-6

Step-by-step explanation:

-5-3=-8

-8+2=-6

you subtract 3 from the Total temperature then and 2 to the answer

Multiply. ​ 3 2/3 x 3/4 ​ Express your answer in simplest form

Answers

3 2/3 x 3/4
= 11/3 x 3/4
=11/4

Kinda confused!! need help!!

Answers

Answer:

I think last option is correct

Answer:

Option 2.   EG, DH, CG, FH

Step-by-step explanation:

Skew lines are lines that do not lie on the same plane, and they also never intersect

Let's verify options

Option 1

AC is an exception, it intersects AB

Option 2

All good, all lines are skew with AB

Option 3

GH is an exception, Can be on the same plane with AB

Option 4

CD is an exception, can be on the same plane with AB

The length of AB = in ?

Answers

AB = 2.894 inches

hope this helps

What does P(BA) represent?

Answers

B is the given info after your A (event has happened)

RESULT:

P(B/A)= B given when A happens

PLEASE HELP QUICK!!! 3x − 2(6 − x) = 7x + 2(5 + x) − 6

Answers

Answer:

it would be x=-4

hope i helped ya

Answer:

x = -4

Step-by-step explanation:

3x -2(6-x) = 7x +2(5+x) -6

Distribute -2 through the parentheses 3x -12 +2x = 7x +2(5+x) -6

Distribute 2 through the parentheses 3x -12 +2x = 7x +10 +2x -6

3x -12 +2x = 7x +10 +2x -6 cancel equal terms on both sides of the equation

3x -12 = 7x +10 -6 subtract the numbers 3x -12 = 7x +4

                           Move variable to the left left handed side and change its sign

3x -7x-12 = 4   -->   3x -7x = 4 + 12  -->  -4x = 4+12  --> -4x = 16

             Divide both sides of the equation by -4  -->  x = -4

A 30-N NET FORCE ON A SKATER PRODUCES AN ACCELERATION OF 0.6 M/S SQUARED. WHAT IS THE MASS OF THE SKATER. (URGENT, HELP ASAP PLEASE!!!!!!!) WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST :)

Answers

Answer:

50 kg

Step-by-step explanation:

got deleted last time so here we go again

divide net force by the accaleration to get 50

203.530 divided by 0.7=

Answers

Dnnsbdbshdvsbsbsbzsgbshsbdbbz

What is the value of x?

Answers

Answer/Step-by-step explanation:

well, first figure out how many units/times prism A was enlarged to become prism B...

16 ÷ 2 = 8

Now if we apply that info to the length of the prism, then...

80 ÷ 8 = 10

Therefore x = 10

And the Prisms remain congruent and proportional!

Hope this helps!Please mark Brainliest!!! =D

Simplify by combining like terms -10+2(3x-1)+1

Answers

Answer: -11+6x

Step-by-step explanation:

Understand PEMDAS method (Operates from left to right)

ParenthesisExponentsMultiplication and DivisionAddition and Subtraction

SOLVE:

Given

-10+2(3x-1)+1

Expand parenthesis

-10+6x-2+1

Use PEDMAS method

-10-2+1+6x

-12+1+6x

-11+6x

Hope this helps!! :)

25x - 10y = -35


Helpppp

Answers

Answer: x = 1 y = 6

Step-by-step explanation: 25x1=25, -10x6= -60, 25-60=-35.

Have a great day!

Read this description of the life cycle of a mushroom. 1. A mushroom begins to grow underground as a single-celled "spore.” 2. The spore grows into multicellular structures called "hyphae.” 3. The hyphae absorb nutrition and detect when conditions are right to sprout a mushroom above ground. 4. The sprouted mushroom then forms new spores that can enter the ground and begin the life cycle again. Which sentence about this life cycle shows that mushrooms need energy and respond to stimuli? A mushroom begins to grow underground as a single-celled “spore.” The spore grows into multicellular structures called “hyphae.” The hyphae absorb nutrition and detect when conditions are right to sprout a mushroom above ground. The sprouted mushroom then forms new spores that can enter the ground and begin the life cycle again.

Answers

The correct answer is C. The hyphae absorb nutrition and detect when conditions are right to sprout a mushroom above ground.

Explanation:

Two key features of living organisms are energy processing and response to stimuli. These two features imply organisms require nutrients, which can be taken from the environment or created through a process such as photosynthesis and they sense their surroundings and respond to it.

Moreover, these two features are exemplified by mushroom (fungi) in the sentence "The hyphae absorb nutrition and detect when conditions are right to sprout a mushroom above ground" because the first section shows the developing mushroom takes nutrients from the soil or its environment and this is essential for growing and survival. Also, the second section of the sentence shows the developing mushroom can sense its environment and respond by developing only in appropriate conditions.

Answer:

C

Step-by-step explanation:

Got it right on edge 2020

Como se ecribe 8 de 10
en decimale​

Answers

8/10 es 0.8 en decimale :)

What are the lyrics to
Part of Your World?

Answers

Look at this stuff
Isn't it neat?
Wouldn't you think my collection's complete?
Wouldn't you think I'm the girl
The girl who has ev'rything?
Look at this trove
Treasures untold
How many wonders can one cavern hold?
Lookin' around here you'd think
(Sure) she's got everything
I've got gadgets and gizmos aplenty
I've got whozits and whatzits galore
(You want thingamabobs?
I got twenty)
But who cares?
No big deal
I want more
I want to be where the people are
I want to see
want to see 'em dancin'
Walkin' around on those
(Whad'ya call 'em?) oh - feet
Flippin' your fins you don't get too far
Legs are required for jumpin', dancin'
Strollin' along down a
(What's that word again?) street
Up where they walk
Up where they run
Up where they stay all day in the sun
Wanderin' free
Wish…

solving literal equations HELP!!b g=x-c, for x

Answers

Answer:

Step-by-step explanation:

Not sure

Answer:

x = g + c

Step-by-step explanation:

This is the answer because:

1) Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Therefore, the answer is x = g + c

Hope this helps! :D

Help please, this is definitely not my area of expertise.

Answers

Answer:

she will make 1,815

equation:55x+1

Answer:

Equation: 55 + B = A

Ammount amy earns if she sells 33 books: 88 dollars

Step-by-step explanation:

they let us know that she earns 55 dollars a week. this is the minimum she can earn in a week. So 55 is just 55. she cant earn more or less than 55 a week by just working there. the variable is the ammount of books she sells every week. Every book she sells gives her an extra one dollar to her overall wage per week. so 55 is the base and the one dollar per book is the variable that changes depending on how much she sold. So the equation would the base of 55 and the variable 1x (x being the ammount of books being sold and the 1 being how much money she makes from each book) and now just put them together with a plus sign and it would look like this

55 + 1x = ...

If she was to sell 33 books and shes earning 1 dollar per book 1(33), we only change the x from x to 33

55 + 1(33) which gives us 88

HOPE THIS HELPED. DON'T FORGET TO MARK THIS AS THE BRAINLIEST ANSWER AND GIVE IT A 5 STAR FOR ANYONE IN THE FUTURE STRUGGLING TO DO THIS SAME PROBLEM. HAVE A NICE DAY!!!

Donovan wants to earn a 70% in Mr. Mottola's class. He knows he currently has an 67% in the class after 9 grades. What is the minimum grade Donovan would need to earn in order to have a 70%.

Answers

Donovan needs to earn at least a 73% in order to have a 70%

x=4-k over 6, what is k

Answers

Answer:

k = -6x+4

Step-by-step explanation:

[tex]x =\frac{4-k}{6}[/tex]

Cross Multiply

[tex]x \times 6 = (4-k)\times 1\\\\6x = 4-k[/tex]

Isolate k

[tex]6x -4 =-k[/tex]

Divide through by -1

[tex]\frac{6x}{-1} -\frac{-4}{-1} = \frac{-k}{-1}\\ \\-6x+4 =k\\\\k =-6x+4[/tex]

On Monday, you swim 12 laps in 30 minutes. On Tuesday, you swim 15 laps in 45 minutes. Are these rates proportional?

Answers

Answer:

no.

Step-by-step explanation:

12/30 =  0.4

15/45 = 1/3

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