The diagram below shows a map of the routes taken by Georgia Air-Taxi airline. On this diagram lengths and directions are irrelevant, all that matters is the connections between airports. Choose the adjacency matrix, name it A, that matches the scenario.

The Diagram Below Shows A Map Of The Routes Taken By Georgia Air-Taxi Airline. On This Diagram Lengths

Answers

Answer 1

Answer: B

Step-by-step explanation: Adjacency Matrix is a square matrix representing a simple graph with 0 or 1 according to the condition given.

In this diagram, 0 corresponds to no connection between airports and 1 corresponds to connections between airports.

In other words, analysing the image, we see that:

1) Albany just have connection with Atlanta, so in the position of line Albany with column At, it must be a 1. The other columns, there are 0.

The Line for Albany in the matrix will be: [0 1 0 0 0 0]

2) Atlanta has connections with Albany, Dalton, Macon and Augusta. So corresponding position (line and column) must be 1. The only two airports Atlanta doesn't have connection with its own and Waycross, so at the corresponding column and line, it is written 0.

The line for Atlanta in the matrix is [1 0 1 1 1 0]

3) Augusta: connections with Atlanta, Macon, Waycross. At those positions, it will be written 1. At positions related to itself, Albany and Dalton is 0.

The line in the matrix will be [0 1 0 0 1 1]

4) Dalton: connection with Atlanta only. That position will be 1 while the others will be 0.

The line is [0 1 0 0 0 0]

5) Macon: connections with Atlanta, Augusta and Waycon: those positions will have 1 and the other 0.

The line is [0 1 1 0 0 1]

6) Waycross: connections with Macon and Augusta. Those positions will be 1 and the others 0.

The line is [0 0 1 0 1 0]

In conclusion, the adjacency matrix matching the scenario is

[tex]A=\left[\begin{array}{cccccc}0&1&0&0&0&0\\1&0&1&1&1&0\\0&1&0&0&1&1\\0&1&0&0&0&0\\0&1&1&0&0&1\\0&0&1&0&1&0\end{array}\right][/tex]


Related Questions

what is 4/5 ÷ 1/3 =____​

Answers

2.4 i’m pretty sure it is

What would be the new ordered pair for point Q' given the following rule for the transformation?
(x,y)----}(-x,y)
Q=(-5, 7)​

Answers

Answer:

The new ordered pair for point Q' are: Q' (5, 7)

Step-by-step explanation:

Q = (-5, 7)

The rule of translation is:

(x, y) → (-x,y)

According to this rule, the value of x is multiplied by -1, and the value of y remains the same.

Thus,

P(x, y) → P'(-x,y)

Q (-5, 7) → Q' (-(-5), 7) → Q' (5, 7)

Thus, the new ordered pair for point Q' are: Q' (5, 7)

A person at a local airport spotted an airplane at an angle of depression of 23° on the tarmac. If the person saw the plane from the airport tower that is 120 ft high, how far away is the plane from the airport tower?

Answers

Answer: 282. 7 feets

Step-by-step explanation:

Height = 120 ft

θ = 23°

To obtain the distance (d) of plane from airport tower :

Tan θ = h / d

Tan 23 = 120 / d

0.4244748 * d = 120

d = 120 / 0.4244748

d = 282.70229

d = 282.7 feets

Can you figure this out for me ? I’m having issues .

Answers

Answer:

71

you just had to add them

Step-by-step explanation:

AHHH PLEASE HELP! theres a pic

Answers

Answer:

A is Phosphourous, B is Oxygen

Step-by-step explanation:

The highest boiling point on the chart is 280 which belongs to Phosphouors, meaning that it has the highest boiling point. If you count it out, -183 you'd have to add 183 to get to 0, with 184 you would have to minus 184 to get to 0. So therefore oxygen's boiling point is closer to iodine.

For the linear model, y = -67.9x + 679 , the distance, in miles y, is a function of time, x, in hours. Use the model to calculate the total distance, in miles, at x = 5 hours.

cannot be determined
1,018.5 miles
339.5 miles
9.9 miles

Answers

Hey there!

x = 5

“y = -67.9(5) + 679”

-67.9(5) = -339.5

NEW EQUATION: “y = -339.5 + 679”

Solve above ^

Answer: y = 339.5 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

339.5 m

Step-by-step explanation:

Does the graph represent a function ?

Answers

Answer:

Yes, it represents a function

Step-by-step explanation:

Doing the vertical line test, no point goes through the vertical line twice

Yes it does represent a function. Hope this helped good luck

Whats the answer to #1

Answers

Answer:

-8/5 or 1.6

Step-by-step explanation:

if you get the 2 points on the graph and use slope formula you get the answer

Help this confusing no matter how any times I do it

Answers

Answer:

The variable 8. Equation is 16 + 12x = 112.

Step-by-step explanation:

We know that she spent $16 dollars on magazines, so we can put it in the equation (16 + x= ?). We also know that the total is $112, so we can also add that (16+ x= 112). We don't know how many books she got, but we do know how much they cost (16 + 12x=112. So that makes  the books the variable (X).

To find the variable we need to take out the magazines from the price. 112-16=96. Now we're left with 12x=96. Now all we have to do is divide 96 by 12, which equals 8.

Sorry everything is so long, I tried to make it short as possible

pls help I really need this

Answers

Answer:

Rocks

Explanation:

I'm quite sure scientists have looked at rock mass to determine Earth's crusts.

Solve- x/2 + 1=5

A)8
B)9
C) 11
D) 2

Answers

Answer:

A. 8

Step-by-step explanation:

Answer:

A/8

Step-by-step explanation:

Since you need to get x by itself you have to subtract the one on both sides. Then the equation is x/2=4 Since x is being divided by the 2 you have to multiply by two on both sides. That  leaves you with x=8

[tex]\frac{x-c}{2} =d, for ( x)[/tex]

SHow your work!

Answers

2(x-c)/2 = 2d
x - c = 2d
x - c + c = 2d + c
x = 2d + c

Solve correctly and I’ll give brainliest

Answers

The picture isn’t clear

I really need help with this
I think its Igneous Rock but I'm not so sure...
THANKS

Answers

Answer:

That is igneous

Step-by-step explanation:

The bar diagram represents 24 hours in one day and shows a mark at 30%
If you sleep 30% of the day, how many hours do you sleep? Enter your answer in the box
24
Hours slept
Percent
0%
30%
100%
hours
Please help

Answers

Answer:

7.2 hours slept

Step-by-step explanation:

30%>.30

.30*24=7.2 hours

Hope this will help!

7.2 hours slept is your answer. Or 7 hours and 12 minutes.

to get this i did 24 x .3 and got 7.2

What is the slope of the line that passes through the points (-9,10) and (21,15)

Answers

15- 10 divided by 21- -9 should give you your slope

Answer:

1/6

Step-by-step explanation:

We can find the slope of the line using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 15 - 10)/( 21 - -9)

    = ( 15-10) /( 21+9)

    =5 / 30

  = 1/6

Jean picks peaches during her summer vacation. She gets paid $0.60 for each pound of peaches picked. Jean averages 45 pounds per hour.
a. How much can Jean earn in 16 hours?
b. How many hours would it take for Jean to earn $990?

Answers

A. Jean earn $43.3

B.It takes Jean 36.6

What is the y-intercept of the graph?

Answers

Answer:

2

Step-by-step explanation:

The y-intercept is when the line intersects the y-axis. In this image, you can see that the line intersects at 2 on the y-axis.

Hope this helps! :)

50 50 23 ​ start fraction, 23, divided by, 50, end fraction of Xander's friends prefer to stay home on Friday nights. What percent of Xander's friends prefer to stay home on Friday nights?

Answers

Answer:

Percent of Xander's friends that prefer to stay home on Friday nights = 46%

Step-by-step explanation:

23/50 of Xander's friends prefer to stay home on Friday nights.

What percent of Xander's friends prefer to stay home on Friday nights?

% of Xander's friends that prefer to stay home on Friday nights

= 23/50 × 100

= 0.46 × 100

= 46%

Percent of Xander's friends that prefer to stay home on Friday nights = 46%

what is the answer to 9x=y+8

Answers

Answer:

1

Step-by-step explanation:

Answer:

For X:

Divide each term by 9

and simplify.

x= y/9 + 8/9

For Y:

y= 9x−8

Plz help me answer this

Answers

Answer:

(-2, -8)

x = -2

y = -8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

13x - 6y = 22

x = y + 6

Step 2: Solve for y

Substitution

Substitute in x:                              13(y + 6) - 6y = 22Distribute 13:                                 13y + 78 - 6y = 22Combine like terms:                      7y + 78 = 22Isolate y term:                                7y = -56Isolate y:                                         y = -8

Step 3: Solve for x

Define original equation:                    x = y + 6Substitute in y:                                     x = -8 + 6Add:                                                      x = -2

Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a coordinate plane. a. ​(0,0), ​(16​,4​), ​(4​,6​) b. ​(3​,4​), ​(11​,12​), ​(8​,15​)

Answers

Answer:

The answer is below

Step-by-step explanation:

a) The equation of a line passing through the point (0,0) and ​(16​,4​) is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{4-0}{16-4}(x-0)\\\\y=\frac{1}{4}x[/tex]

We have to find the equation of the line perpendicular to y = (1/4)x and passing through the point (4,6).

The line perpendicular to y = (1/4)x has a slope of -4 (product of their slope = -1).

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-6=-4(x-4)\\\\y-6=-4x+16\\\\y=-4x+22[/tex]

The slope of a line passing through the point (16,4) and ​(4​,6​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{6-4}{4-16}=-\frac{1}{6}[/tex]

We have to find the equation of the line perpendicular to  the line with slope of -1/6 and passing through the point (0,0).

The line perpendicular to a line with slope -1/6 has a slope of 6

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-0=6(x-0)\\\\y=6x[/tex]

Solving y = 6x and y  = -4x + 22, gives:

x = 2.2, y = 13.2

Hence the orthocenter is at (2.2, 13.2)

b)

The slope of a line passing through the point (3,4) and ​(11​,12​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{12-4}{11-3}=1[/tex]

We have to find the equation of the line perpendicular to  the line with slope of 1 and passing through the point (8,15).

The line perpendicular to a line with slope 1 has a slope of -1

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-15=-1(x-8)\\\\y=-x+8+15\\\\y=-x+23[/tex]

The slope of a line passing through the point (11,12) and ​(8​,15​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{15-12}{8-11}=-1[/tex]

We have to find the equation of the line perpendicular to  the line with slope of -1 and passing through the point (3,4).

The line perpendicular to a line with slope -1 has a slope of 1

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-4=1(x-3)\\\\y=x-3+4\\\\y=x+1[/tex]

Solving y = -x + 23 and y  = x + 1, gives:

x = 11, y = 12

Hence the orthocenter is at (11, 12)

Graham paid $87.45 for a pair of jeans. This amount included a tax of 40%. What was the cost of the jeans before tax?

Answers

The final price is the cost plus the tax.

Since we know the tax and a percent, we can write this as

T = C(1+r)

T = what Graham paid = $87.45

C = cost before tax

r = tax rate expressed as a decimal = .40

Plugging in what we know

87.45 = C (1+.4)

87.45 = C(1.4)

Divide both sides by 1.4

C = $62.46

Factor completely 54x4 + 2x​

Answers

Answer:

2x+216

Step-by-step explanation:

The answer was easy to get because to factor you would just multiply the two numbers together to get 54x4 = 216 and then add the 2x, so your answer is 216+2x


Eduardo lives in Argentina and travels to Uruguay for a holiday
(a) His flight from Buenos Aires to Montevideo takes 55 minutes.
The plane departs at 1735.
Write down the arrival time.

Answers

Step-by-step explanation:

55 minutes after 1735 is 1830.

Annabelle has $600 in a savings account that earns 2% simple interest for 6 years. Caroline has $400 in a savings account that earns 3% simple interest for 6 years. Whose account will have more money in it after the 6 years? How much more money will they have in their account?

Answers

Answer:

Step-by-step explanation:

Using the formula for calculating Amount;

Amount = Principal + Interest

Interest = Principal * Rate * time/100

For Annabelle:

Interest = 600*2*6/100

Interest = 6*2*6

Interest = $72

Amount after 6 years = $600 + $72 = $672

For Caroline:

Interest = 400*3*6/100

Interest = 4*3*6

Interest = $72

Amount after 6years = $400+$72 = $472

Hence Annabelle account will have more in it after 6 years.

Taking the difference in their amount = $672-$472 = $200

Hence Annabelle will have $200 more than Caroline in her account after 6 years

HEELLLPPPP MEEE 100 POINTS!!!

Juan has a collection of 13 dice, 5 of which have eight sides. If Juan randomly rolls 4 dice, what is the probability that exactly 2 of the chosen dice have eight sides? Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

38

Step-by-step explanation:

430 divided by 2 ____ remainder____

Answers

Answer:

215.

Step-by-step explanation:

I dotn think there is any remainder so put 0

Answer:

215 NO REMAINDER

Step-by-step explanation:

In a bag there are 3 red marbles, 2 yellow marbles, and 1 blue marble. What are the odds of a yellow marble being selected on the first draw?
A.1:5
B.4:2
C.2:4
D.3:3

20 points
i really need help im way behind and im low on points but i can share my instagram
:D

Answers

Answer:

2:4 thats because together there are 6 marbles in total. 3 red and 1 blue = 4. and 2 yellow. 4:2, however, 4:2 is 4/2 in fraction, so that wont make sense. hat means the answer is 2:4 or 2/4.

A bag contains three green marbles, four blue marbles, and two orange
marbles. If a marble is picked at random, what is the probability that an orange
marble will NOT be picked?

Answers

Answer:

7/9

Step-by-step explanation:

There are 9 marbles total. there are 3 green, 4 blue, and 2 orange. The chance of picking an orange is 2/9. The chance of picking a green is 3/9, or 1/3. The chance of picking a blue is 4/9. To find the chance of not picking an orange, add 3/9 and 4/9 to get 7/9. The chance of not picking an orange is 7/9. I hope this helps!

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