Identify the distance, to the nearest tenth, between J(−3,4) and K(7,−9).

A. 1.5
B. 9.2
C. 16.4
D. 14.7

Answers

Answer 1

Answer: C. 16.4

Concept:

Here, we need to know the idea of the distance formula.

The distance formula is the formula, which is used to find the distance between any two points.

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Given information

(x₁, y₁) = (-3, 4)

(x₂, y₂) = (7, -9)

Given expression

[tex]Distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute values into the expression

[tex]Distance =\sqrt{(7+3)^2+(-9-4)^2}[/tex]

Simplify value in the parentheses

[tex]Distance =\sqrt{(10)^2+(-13)^2}[/tex]

Simplify exponents

[tex]Distance =\sqrt{100+169}[/tex]

Simplify by addition

[tex]Distance =\sqrt{269}[/tex]

Convert square root to decimal and round the answer to the nearest tenth

[tex]\boxed{Distance=16.4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions


Related Questions

hey please help i’ll give brain

Answers

The commutative law of multiplication is pretty much just that no matter what order the numbers are in, the product will be the same. The answer is D

the sum of two numbers is 17 and their differance is 3

Answers

Answer:

10 and 7 are the numbers

Step-by-step explanation:

Let the number be x and y, ATQ, x+y=17 and x-y=3, solving it we will get x=10 and y=7

The sum of two numbers is 17 and their difference is 3.

Let's define the two numbers as x and y.

Sum of two numbers is 17

x + y = 17

Their difference is 3

x - y = 3

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

Solve for x

x + y = 17

x = 17 - y

now that we have x, substitued x into x - y = 3

x - y = 3

17 - y - y = 3

17 - 2y = 3

-2y = -14

y = 7

we have y, 7, now let's substitue that into one of the equations to find x

x - y = 3

x - 7 = 3

x -7 + 7 = 3 +7

x = 10

the numbers are 10 and 7

The price of a printer is $349.00, plus 6% sales tax. What is the sales tax on this printer in dollars and cents?​

Answers

$349.00 x 0.06 (6%) = $20.94 sales tax

The sales tax on this printer is $20.94

What is sales tax?

A sales tax is a consumption tax imposed by the government on the sale of goods and services.

Given that, the price of a printer is $349.00 having a 6% sales tax.

Sales tax = 6% of $349.00

$349.00 x 0.06 = $20.94

Hence, the sales tax on this printer is $20.94

For more references on sales tax, click;

https://brainly.com/question/29442509

#SPJ6

is -17 a rational number or irrational number

Answers

A rational number is a number that you can write as a fraction of two integers.

-17 = -17/1, -34/2, etc.

-17 is rational.

Irrational numbers, like pi and sqrt(2), cannot be written as a fraction of integers.

Answer:

rational

Step-by-step explanation:

if a number can be written as a fraction,  where p and q are integers and q is a non-zero number

Who on this app goes to Hixson High?

Answers

Nope not me lol purrrr

GIVING BRAINLIEST IF CORRECT!! EASY MATH!!!

Answers

Answer:

Reflecting across the x-axis looks like this: -g(x)

A negative on the outside of the function.

So your answer may be

-|x|

It should just be - lxl

WILL GIVE PUT BRAINLIEST PLEASE HELP

okay so i don’t have a ruler so please help! Part III – Measuring Lines
Using a metric ruler, measure and record the length of the following lines. (This is metric... SO
make sure to use the correct label)

Answers

A metric ruler is a basic ruler
(If u can’t get a basic ruler and ur doing the homework on a personal computer maybe there’s an extension to download a ruler and measure, I’m sorry but I might get the calculations wrong since it’s not in person)

How many solutions exist for -2|3x − 1| = 0?

A. 0
B. 1
C. 2
D. 3

Answers

Answer:

B. 1

Step-by-step explanation:

-2|3x − 1| = 0

Divide by -2

|3x − 1| = 0

There is only one solution since 3x-1 must equal 0

3x = 1

x = 1/3

Answer:

The correct choice is option B. 1

See attached image for my step-by-step explanation, the final answer is in red.

Find the given angle. Show all work and round to the nearest degree.

Answers

Answer:

44°

Step-by-step explanation:

tanΘ = opposite / adjacent

tanΘ = 48 / 50

Θ = arctan(48 / 50)

Θ = 43.83° or 44°

Which is an estimate of _/75
nearest whole number?

Answers

Answer:

9 is closest whole number

Answer:

9

Step-by-step explanation:

Lets look at the squares

7^2 = 49

8^2 = 64

9^2 = 81

It is between 8 and 9

75 - 64 =11

81 - 75 = 6

It is closer to 9 than 8

IN A GIVEN FIGURE ABCD IS A SQUARE THE MEASURE OF ANGLE DBC IS

Answers

Answer:

Where is figure. Hope you understand me

Step-by-step explanation:

Please mark me brainliest thanks

Find the coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y).

A. (−7, −3)
B. (−5, −3)
C. (−3, −1)
D. (−7, −1)

Answers

Its D.(-7,-1)

Hope it helpss

The coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y) will be (−7, −1). Then the correct option is D.

What is a transformation of a point?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The rule of the translation is given below.

(x, y) → (x − 2, y)

The coordinates of the image of J (−5, −1). Then the location of the point J after the translation will be

(x, y) → (x − 2, y)

(−5, −1) → (−5 −2, −1)

(−5, −1) → (−7, −1)

The coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y) will be (−7, −1). Then the correct option is D.

More about the transformation of a point link is given below.

https://brainly.com/question/27224339

#SPJ2

prove that : Cos 2A =cot^2-1/cot^2+1​

Answers

Answer:

[tex] \cos(2A) = { \cos }^{2} A - { \sin }^{2} A \\ = { \cos }^{2} A - \frac{1}{ \csc {}^{2} A} \\ \\ = \frac{( { \cos}^{2} A. \csc {}^{2}A ) - 1}{ { \csc }^{2} A} \\ \\ = \frac{( \frac{ { \cos}^{2}A }{ { \sin }^{2} A}) - 1 }{ { \csc }^{2} A} \\ \\ = \frac{ { \cot}^{2}A - 1 }{ { \csc}^{2} A} [/tex]

but csc²A = cot²A + 1:

[tex] = \frac{ { \cot}^{2}A - 1 }{ { \cot }^{2}A + 1 } [/tex]

# proved

For her new MP3 player, Alicia wants a case that is 3 and 2/5 in. long. The online store shows case sizes in decimal measurements. What length case should she order?

A. 3.2 in.

B. 3.25 in.

C. 3.4 in.

D. 3.45 in.

Answers

Answer:

C.

Step-by-step explanation:

.

Answer:

c) 3.4 in

Step-by-step explanation:

hey please help i’ll give brain

Answers

Answer:

The answer is A. They are just inverses, but are essentially, the same problem. The order does not matter.

Step-by-step explanation:

if f(1)-3 and f(n)=f(n-1) +4 then find the value of f(5)

Answers

Answer:

f(1) = 3

f(2) = -2 * 3 + 1 = -5

f(3) = -2 * -5 + 1 = 11

f(4) = -2 * 11 + 1 = -21

f(5) = -2 * -21 + 1 = 43

Step-by-step explanation:

I didn’t know how to put the question so the image below is the question

Answers

Answer:

b) (I think)

Step-by-step explanation:

What exactly is the question?

Hope this helps!

Have a nice day! :-)

Help anyone can help me do the question 4,I will mark brainlest.​

Answers

Answer:

Hello,

Step-by-step explanation:

[tex]A=(1,2)\\B=(0,-1)\\\overrightarrow{AB}=((0,-1)-(1,2)=(-1,-3)\ ||\overrightarrow{AB}||^2=1+9=10\\\overrightarrow{BC}=((3,-2)-(0,-1)=(3,-1)\ ||\overrightarrow{BC}||^2=9+1=10\\\\Triangle\ is\ isosceles.\\\\\overrightarrow{AB}.\overrightarrow{BC}=(-1,-3)*\left[\begin{array}{c}3\\-1\end{array}\right] =-3+3=0\\\\Triangle \ is\ right.\\\\[/tex]

Answer:

(Work below)

BRAINLIEST, PLEASE!

Step-by-step explanation:

A(1, 2) B(0, -1) C(3, -2)

The distance between A and B is:

3^2 + 1^2 = c^2

9 + 1 = c^2

c = 10^1/2

The distance between B and C is:

1^2 + 3^2 = c^2

1 + 9 = c^2

c = 10^1/2

The distance between C and A is:

4^2 + 2^2 = c^2

16 + 4 = c^2

c= 20^1/2

Since AB and BC are the same, but AC isn't, the triangle is isosceles.

The sum of three numbers is 576. One of the numbers, n, is 25 percent more than the sum of the other two numbers. what is the value of n?

Answers

Answer:

Step-by-step explanation:

x + y + n = 576

When something is 25% larger than something else, the effect is the same as multiplying by 1.25. Let's try it with an example

20 + (25/100)* 20 = 20 + 500/100 = 20 + 5 = 25. Now if you multiply 20 * 1.25 you get 25 which is just what you should get.

n = 1.25(x + y)                    Divide by 1.25

n / 1.25 = x + y                   Substitute n / 1.25 for x + y in the above equation    

n/1.25 + n = 576                Multiply everything by 1.25  

n + 1.25n = 576*1.25         Combine the left to get 2.25

2.25 n = 576 * 1.25           Divide by 2.25

n = 576*1.25 / 2.25    

n = 320

Someone help pleaseeee
A employer, who started a new business, has promised his employees a minimum starting wage of $3, with an increase of $2 every 4 years. Sketch a graph of wage as a function of time for 16 years. Assume the wages take effect at the beginning of the year where the change is made. (HINT : use a step function to represent the function.)

Upload your graph in the box below.

Answers

Answer:

y = 3 for 0 <= x < 4

y = 5 for 4 <= x < 8

y = 7 for 8 <= x < 12

y = 9 for 12 <= x < 16

y = 11 for 16 <= x < 20

x represents the number of years of employment.

for example, when x = 4, the employee has been there a full 4 years and is entitled to an additional 2 dollars wage to make the total wage equal to 3 + 2 = 5.

your graph stops at x = 16 because that's the number of years being considered.

at x = 16, the wage will be 11 dollars.

the closed circle indicates the value of y is valid at that value of x.

an open circle indicates the value of y is not valid at that value of x.

for example, when x = 4, y = 3 is not valid anymore, but y = 5 is.

on the 16th year of employment, the employee is entitled to an additional 2 dollars wage and starts earning at a wage of 11 dollars.

at employment (x = 0), the employee starts earning a wage of 3 dollars.

at 4 years (x = 4), the employee starts earning a wage of 5 dollars.

at 8 years (x = 8), the employee starts earning a wage of 7 dollars.

at 12 years (x = 12), the employee starts earning a wage of 9 dollars.

at 16 years (x = 16), the employee starts earning a wage of 11 dollars.

x represents a full year of employment.

y represents the wage the employee is entitled to earn.

The equivalent matrices are
.

Answers

Answer:

Step-by-step explanation:

To be equivalent matrices must have the same dimemsions (rank)

dim A= (3,2)

dim B=(2,3)

dim C=(3,2)

dim D=(3,2)

C and D are equivalent since √4=2 !!!

Answer:

should be C and D, because-

Step-by-step explanation:

To be equivalent matrices must have the same dimension's  

A= (3,2)

 B=(2,3)

 C=(3,2)

 D=(3,2)

C and D are equivalent since √4=2

Identify the rule for the following pattern:
4, 24, 144

Answers

Answer:

It is being multiplied by 6 each time.

Step-by-step explanation:4x6, 24x6

Find the least number which when divisible by 20, 24, 32 and 38 leaves a remainder 5 in cach case

Answers

Answer:

18245

Step-by-step explanation:

We have to use L.C.M,

L.C.M(20,24,32,38)

2|20,24,32,38

2| 10 ,12 ,16 ,19

2| 5 , 6 , 8 , 19

2| 5 , 3 , 4 , 19

2| 5 , 3 , 2 , 19

L.C.M = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 3 x 19

          = 18240

Now for each case remainder is 5,

So the number is 18240+5

=> 18245

Gabriel was at the gym for 3/4 hours. He spent 1/2 of this time shooting baskets. What fraction of an hour did Gabriel spend shoot baskets?

Answers

Answer:

1/2×3/4=3/8h

3/8×8/8=

3/8h

the ratio of length and breadth of a rectangle is 3:1​

Answers

Step-by-step explanation:

no her answer is lxb this answer is right for you

I NEED HELP ASAP!!! #32!!

Answers

Answer:

If it's parallel, then it has the same slope.

Find the slope from the two coordinates and compare the slope to see which ones are right.

You should get a slope of like 2/3 from the two points, so the only equation with the same slope is B.

Your answer is B.

What number is 1/10 of 8,000,000

Answers

Answer:

8,00,000

Step-by-step explanation:

I think this is

The product of the numbers 1/10 and 8,000,000 will be 800,000.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The numbers are given below.

1/10 and 8,000,000

The product of the numbers 1/10 and 8,000,000 will be

⇒ (1/10) x 8,000,000

⇒ 800,000

The product of the numbers 1/10 and 8,000,000 will be 800,000.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Someone answer please and thank you! No photos please those are blocked for me!

Answers

ans:- 125 cm cubed

ur welcome

MARKING BRAINLIEST !!
which of the following are properties of all parallelograms select all that apply

Answers

answers

4) opposite sides are parallel

1) opposite angles are equal

5) all are quadrilateral

property's of a parallelogram

1)sum \: of \: angeles \: = 180 \\ 2)opposite \: sides \: are \: cogruent \\ 3)opposite \: angles \: are \: congruent \\ 4)cosecutive \: angles \: are \: supplymentary \\ 5)diaganols \: bisect \: \\ thnk \: you[/tex]

plz help me find the slope​

Answers

Answer:

4/5

Step-by-step explanation:

Find 2 defined points like (-2,0)(3,4) in other to reach the point (3,4) from (-2,0) it moves 5 times front and 4 times up  

Up is Y value

Front is X value

To solve it is adding the value that you get from moving it in this case

5 front X equals to 5

4 up Y equals to 4

Then is 4/5

because the formula is Y/X

Other Questions
An eccentric emu runs 20 m/s for 5 minutes for the first part of his trip to Hollywood. Once tired, the emu runs slower speed for the next hour. The average velocity of the emu is 15 m/s. what speed was the emu running when he was tired? Is 17 a interger or a counting number From the above figure which one is correct Please answer me this question fast Stay Safe,Stay Healthy and Stay Happy 1. What made the Indian Ocean important to trade during the postclassical era? Answer needed WITH explanation asap PAGE NO Write a short story ending with my God is great List a few principles you would like to cultivate and describe your plan of action for cultivating them. 1. Read the paragraph from a letter to city council. City council members have proposed a new noise ordinance for the city. The new ordinance is an excellent idea. Noise has been a problem in my neighborhood for many years. Many people blare music through open windows until the wee hours of the morning. Often people ride by in cars or motorcycles with their radios playing at full volume. It is often impossible to sleep through such loud noise. Excessive noise can be harmful to peoples health, causing hearing damage and affecting blood pressure. Choose the BEST concluding sentence for the paragraph. A. Therefore, I strongly support the new noise ordinance and plead with council members to pass it into law. B. The current ordinance is a weak one and is so vaguely worded that it is difficult to enforce. C. As a result, my neighbors close their windows at night, even in the heat of summer, and wear earplugs when they go to sleep. D. Persistent lack of sleep due to noise issues can cause a multitude of other health problems. Which statement best describes the African slave trade? *1.The Trans-African trade involved guns, gold, and ivory, but never slaves.2.Slavery was unknown to Africans until Europeans arrived and started capturing and selling the native populations.3.Africans never traded with Europeans but they did practice slavery inside their own countries.4.Slavery was quite uncommon in Sub-Saharan Africa and it was only known in North Africa because it was closer to Europe.5.Slavery was known to Africans and practiced all over the continent, but the Europeans raised the demand for slaves, thus intensifying the practice. 2. The ratio of chocolate to vanilla ice cream is 3 scoops to 7 scoops. If thereare 147 scoops of vanilla ice cream, how many total scoops are there? Match the careers with the career clusters.curriculum developertax auditorparalegalattorneyfederal aid coordinatorspeech-languagepathologistEducation andTrainingGovernment and Law, Public Safety,Public Administration Corrections, andSecurity una celula tiene mucho color verdoso, posee una forma polidrica y presenta una pared rgida, Que tipo de celula es? I need help in spanish! How can I listening English? Why are parasites attracted to flood waters? Help help help help Look up penny debate to help 2Stuart uses 3 of a cup of sugar for a recipe. How many cups of sugar are needed for 7 recipes?Express the amount as a mixed number.cupsBlank 1:Blank 2: Which of the following phrases best defines the word software? A. an object that orbits the Earth B. a set of radio waves that are used to determine distance C. an image that is taken from the air D. a program on a computer Please select the best answer from the choices provided O A OB oc OD True or false: The scientific method is a cycle. If your experiment does not support your hypothesis, you should change your hypothesis and try again. Give five examples of Miticides