On highway 77, the Dobson exit is halfway between the Mt. Airy exit and the Elkin exit. If the Elkin exit is located at (-5,-2) and the Dobson exit is located at (-1,4), how far is it from the Elkin exit to the Mt. Airy exit.

Answers

Answer 1

Given :

The Dobson exit is halfway between the Mt. Airy exit and the Elkin exit. If the Elkin exit is located at (-5,-2) and the Dobson exit is located at (-1,4).

To Find :

How far is it from the Elkin exit to the Mt. Airy exit.

Solution :

E(-5,-2) , D(-1 ,4 ) .

It is also given that Dobson exit is halfway between the Mt. Airy exit and the Elkin exit.

Let , location of Elkin exit is A(h,k) .

So , point D in terms of A and E is given by :

[tex](\dfrac{h-5}{2},\dfrac{k-2}{2})[/tex] .

Comparing it with given D :

[tex]\dfrac{h-5}{2}=-1\\\\h=3[/tex] [tex]\dfrac{k-2}{2}=4\\\\k=10[/tex]

Therefore , the location of Mt. Airy exit is ( 3, 10 ) .

Distance between Elkin exit to the Mt. Airy exit.

[tex]D=\sqrt{(5-3)^2+(-2-10)^2}\\\\D=12.17\ units[/tex]

Therefore , distance between Elkin exit to the Mt. Airy exit is 12.17 units .

Hence ,this is the required solution .


Related Questions

HELP ASAP my answer is B im pretty sure im wrong..

Answers

The answer is A ..........

a and Ly started sung money at the same time for Christmas gis erika started with $100 and added $35 a week. Uly saved $60 a week and
started with 25. How many weeks will it take for them to have the same amount of money saved for Christmas gifts?
weeks torna and Ly to have the same amount of money saved up

Answers

Answer:

Step-by-step explanation:

Erika: y = 35x + 100

Ly: y = 60x + 25

60x + 25 = 35x + 100

25x + 25 = 100

25x = 75

x= 3 weeks

Erika: y = $35(3) + 100= 105 + 100 = $205

Ly: 60(3) + 25 = 180 + 25 = $205

Is 0.625 greater than 0.75

Answers

Answer:

no

Step-by-step explanation:

I need help on 27-30

Answers

The answer is -3 because you could do 27-27 which would give you 0 and you would have 3 left over so you would take that away and it gives you -3
the answer is negative 3

Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5. Which step would be an appropriate first step for Charlotte to take to solve for x? I need help!!!

Answers

Answer:

6(2x+1) – 3 = 4x – 5

Firstly multiply

12x + 6 -3 = 4x-5

12x - 4x = -5-3

8x = -8

x =-1

The appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign =

Now the given equation is,

6(2x+1) – 3 = 4x – 5

So, appropriate first step to take to solve for x is expanding the brackets so, expanding the brackets we get,

12x + 6 – 3 = 4x – 5

or, 12x + 3 = 4x – 5

Taking alike terms together we get,

12x - 4x = – 5 - 3

Solving we get,

8x = -8

Dividing both side by 8 we get,

x = -1

which is the required solution of the given equation.

Thus, the appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.

To learn more about equations :

brainly.com/question/2273153

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someone please help and also show work plz​

Answers

Answer:

X= -50

Step-by-step explanation:

Subtract 7 from both sides then multiply by 5.

X/5 =-10

5 x -10 = -50

So x= -50

SOMEONE PLS HELP ME ASAPPP: The odometer of a vehicle tells you how far it has traveled in its lifetime. The "trip odometer" can be reset at any time to tell you the length of a particular trip. Suppose the main odometer of a new car is at 467 miles and the trip odometer is at 22 miles. How many more miles do you have to travle before the main odometer is precisely two times the trip odometer?​

Answers

Answer:

              423 miles

Step-by-step explanation:

x  - the miles to travel

467+x  - the main odometer after x miles travel

22+x   - the trip odometer after x miles travel

2(22+x)    - two times the trip odometer after x miles travel

2(22+x) = 467 + x

44 + 2x = 467 + x

     - 44       -44

     2x = 423 + x

    -x       -x

     x = 423

Answer:

how far you've driven

Step-by-step explanation:

The amount of money invested in a retirement fund is an example of which of the following?
a investment asset
b. liquid asset
C. long term asset
d. use asset

Answers

Answer: A

Step-by-step explanation:

Your investing for your future so it will investment asset

please give step by step instructions
2c+3=2c+3​

Answers

Answer:

All real numbers are solutions.

Step-by-step explanation:

Step 1: Subtract 2c from both sides.

2c + 3 − 2c = 2c + 3 − 2c

3 = 3

Step 2: Subtract 3 from both sides.

3 − 3 = 3 − 3

0 = 0

All real numbers are solutions.

All real numbers are solutions.

Step-by-step explanation:

Step 1: Subtract 2c from both sides.

2c + 3 − 2c = 2c + 3 − 2c

3 = 3

Step 2: Subtract 3 from both sides.

3 − 3 = 3 − 3

0 = 0

All real numbers are solutions.

Change the fraction into a decimal
[tex] \frac{7}{100} [/tex]

Answers

Answer:

0.07

Step-by-step explanation:

solve for the equation 2x+9=3x

Answers

The answer for the equation is x=9 hope this helps

Write an integer for: a deposit of $45 * Plz help fast!

Answers

Answer:

$45

Step-by-step explanation:

A deposit is positive, so the integer will be positive.An integer is a whole number that's not a fraction, so a positive integer for 45, would be 45.

I hope this helps!

An integer is a whole number that's not a fraction, thus a positive integer for 45, would be 45.

What are  integers?

Natural numbers are: 1, 2, 3, ....

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Rational numbers are numbers which can be written in the form of a/b where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

We have to write an integer for: a deposit of $45 *

A deposit is positive, therefore the integer will be positive.

An integer is a whole number that's not a fraction, thus a positive integer for 45, would be 45.

Learn more about numbers here;

https://brainly.com/question/3151755

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Kristin earns $6.50 for every hour she babysits for the Overstreet family. (Part A:) Last Friday, Kristin babysat for 4.5 hours. How much money did she make during that job? Kristin earns $6.50 for every hour she babysits for the Overstreet family. (Part B): Mrs. Overstreet has told Kristin that she will pay her $45.50 for tomorrow's babysitting job. How many hours will Kristin babysit then?

Answers

Answer:

a)$29.25

b)7hours

comments if you need an explanation

Answer:

Part A: 29.25

Part B: 7 hours

Step-by-step explanation:

Part A :

6.50 times 4.5 equal 29.25

Part B:

45.50 divided by 6.5 equal 7

hopefully this helps you :)

pls give me brainlest :)

Marco walked 27/100 kilometer to the park. then he walked 3/10 kilometer to the library. What fraction of a kilometer did he walk in all?

Answers

Answer:57/100

Step-by-step explanation:

First, convert 3/10 into hundreths to get a denominator equal to the other:

3/10 km = 30/100km

Add the numerators: 27+30=57

Place numerator over common denominator: 57/100

5 x 5=? plz im dum lol

Answers

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

5 x 5 = 25

4 = -8 - x What is x?

Answers

Answer:

2

Step-by-step explanation:

a negative x negative is always a positive

a negative x positive is negative

a positive x positive is negative

Answer:

x=-12

Step-by-step explanation:

4 = -8 - x

First, step +8 to get it to the other side of the question, then it will be 12 = -x

to get x move the negative to the other side x = -12

Can i have brainly please

Can anyone help me on this question?

Answers

Cant view the picture
Add all of the absolute deviations and divide by the number of swimmers

Multiply
(3c-5d)(7c-20)
please help i’m doing a test

Answers

Answer: 21c + 100d

Hope this helps!

Answer:

21c^2-60c-35cd+100d

Step-by-step explanation:

use foil method

(3c-5d)(7c-20)

21c^2-60c-35dc+100d simplify

21c^2-60c-35cd+100d nothing to simplify here

if M is the midpoint of AB, find the coordinates of A if B(4,-6) and M(1,-2) A is ___.

Answers

Answer:

work is attached and shown

Kelly and Daniel surveyed 6 of their friends to find the number of pets in each of their households. They recorded the results from each home in a list. 4, 1, 2, 1, 0, 1 What is the mean absolute deviation of this data set? Enter your answer in the box.

Answers

Answer:

67

Step-by-step explanation:

Answer:

The mean absolute deviation is 1

Step-by-step equation =

Take all of the numbers and add them together.

4+1+2+1+0+1= 9

Then divide by how many numbers there are. In this word problem its 6.

Divide 9 by 6.

9 ÷ 6 = 1.5

So 1.5 would be our mean.

To find the mean absolute deviation subtract our mean and our original numbers.

1.5 - 4 = 2.5

1.5 - 1 = 0.5

1.5 - 2 = -0.5

1.5 - 1 = 0.5

1.5 - 0 = 1.5

1.5 - 1 = 0.5

Add all of those numbers together.

2.5 + 0.5 + 0.5 + 0.5 + 1.5 + 0.5 = 6

Even though one of the numbers was a negative answer we add it as a positive because the mean absolute deviation can never be negative

Divide by the amount of numbers you added.

6 ÷ 6 = 1

So the mean absolute deviation is 1

I also took the test that had 10 questions and got a 100

I'm pretty late to answer but hope this helps for others in the future

I learned this like a week or less ago so my explanation might not make the most sense.

Learn with an example
The perimeter of a rectangular deck is 214 feet. It is 42 feet wide. How long is it?

Answers

Answer:

65 feet = L

Step-by-step explanation:

set up equation

P = 2L + 2W

plug in W

214 = 2L + 2(42)

multiply

214 = 2L + 84

subtract 84

130 = 2L

divide by 2

65 = L

What is 67840000000 in scientific notation ?

Answers

Answer:

6.784 × 10¹⁰

Step-by-step explanation:

→ First count the number of 0's

0000000 = 7 zero's

→ Count how many decimal places until a single digit

6.784 = 3 decimal places

→ Add the number of zero's with the decimal place's

7 + 3 = 10

6.784 × 10¹⁰

Answer:

6.784 times 10^10

Step-by-step explanation:

Hopes this helps :)

Can I pls get a brainliest

?show that 33105 is divisible by 15?​

Answers

Answer:

um 2207 times 15 is 33105

Use the distributive property to remove the parentheses.
Simplify your answer as much as possible.

1/4(12+8x)

Answers

Answer:

3+2x

Step-by-step explanation:

Distribute the equation out.

1/4(12+8x)

(1/4*12)+(1/4*8x)

Multiple those out to get a new equation

3+2x

You cannot add those together because of the variable. Theres no way of knowing what x equals so this is as far as you can go therefor making the answer 3+2x

2. Which of the follow is equivalent to the quantity below? *
(1 Point)
2-1
3
1
2




Need help!!!!!!!!!!!!!

Answers

1

2-1=1

Brainliest?pls

please don’t skip me i really need this answer

show all work

Answers

Answer: The answer is b

Step-by-step explanation:

A rectonale has an area of
36cm and width 3cm. Find it's perimeter.​

Answers

It is 29 hope this helps

Answer:

[tex] \boxed{ \bold {\huge{ \text{30 \: cm}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \underline{ \: \: Given}}}[/tex]

Area of a rectangle ( A ) = 36 cm²

Width of a rectangle ( w ) = 3 cm

[tex] \star{ \sf{ \underline{ \: \: To \: Find}}}[/tex] :

Perimeter of a rectangle ( P ) = ?

First, finding the length of a rectangle ( l ) :

[tex] \boxed{\text{area \: of \: a \: rectangle = length ∗ width}}[/tex]

[tex] \dashrightarrow{ \sf{36 = length \times 3}}[/tex]

[tex] \dashrightarrow{ \sf{36 = 3 \: length}}[/tex]

[tex] \dashrightarrow{ \sf{3 \: length = 36}}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{3 \: length}{3} = \frac{36}{3} }}[/tex]

[tex] \dashrightarrow{ \sf{length = 12 \: cm}}[/tex]

Length of a rectangle = 12 cm

Now, finding the perimeter of a rectangle having length of 12 cm and width of 3 cm

[tex] \boxed{ \text{perimeter \: of \: a \: rectangle = 2(l + w)}}[/tex]

[tex] { \sf{perimeter \: of \: a \: rectangle = 2(12 + 3)}}[/tex]

[tex] \dashrightarrow{ \sf{perimeter \: of \: rectangle = 2 \times 15}}[/tex]

[tex] \dashrightarrow{ \sf{perimeter \: of \: rectangle = 30 \: cm}}[/tex]

Perimeter of a rectangle = 30 cm

Hope I helped!

Best regards! :D

where the digit 1 sits in this number.

712,662,522,097

Answers

Answer:

ten billionths place

Step-by-step explanation:

PLEASE HELP ALGEBRA 2!!

Answers

Answer:

8- option 4

9- option 2

10-option 1

What is the result when the number 10 is decreased by 5.1%?

Answers

Answer:

(10/100)*94.9 = 9.49

Step-by-step explanation:

Divide by 100 and multiply by 100-5.1 = 9.49

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