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 .
2. Which of the follow is equivalent to the quantity below? *
(1 Point)
2-1
3
1
2
Need help!!!!!!!!!!!!!
where the digit 1 sits in this number.
712,662,522,097
Answer:
ten billionths place
Step-by-step explanation:
Can anyone help me on this question?
Learn with an example
The perimeter of a rectangular deck is 214 feet. It is 42 feet wide. How long is it?
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
Multiply
(3c-5d)(7c-20)
please help i’m doing a test
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
Use the distributive property to remove the parentheses.
Simplify your answer as much as possible.
1/4(12+8x)
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
Write an integer for: a deposit of $45 * Plz help fast!
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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solve for the equation 2x+9=3x
if M is the midpoint of AB, find the coordinates of A if B(4,-6) and M(1,-2) A is ___.
Answer:
work is attached and shown
I need help on 27-30
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?
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
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
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
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?
Answer:
423 milesStep-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:
What is 67840000000 in scientific notation ?
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
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.
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.
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!!!
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 :
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PLEASE HELP ALGEBRA 2!!
Answer:
8- option 4
9- option 2
10-option 1
A rectonale has an area of
36cm and width 3cm. Find it's perimeter.
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
4 = -8 - x What is x?
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
?show that 33105 is divisible by 15?
Answer:
um 2207 times 15 is 33105
What is the result when the number 10 is decreased by 5.1%?
Answer:
(10/100)*94.9 = 9.49
Step-by-step explanation:
Divide by 100 and multiply by 100-5.1 = 9.49
please give step by step instructions
2c+3=2c+3
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.
please don’t skip me i really need this answer
show all work
Answer: The answer is b
Step-by-step explanation:
someone please help and also show work plz
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
HELP ASAP my answer is B im pretty sure im wrong..
Is 0.625 greater than 0.75
Answer:
no
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
Answer: A
Step-by-step explanation:
Your investing for your future so it will investment asset
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?
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 :)
5 x 5=? plz im dum lol
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
5 x 5 = 25
Change the fraction into a decimal
[tex] \frac{7}{100} [/tex]
Answer:
0.07
Step-by-step explanation: