1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Airida [17]
2 years ago
6

If any of the graphs below have a Hamiltonian circuit, list the vertices of the complete circuit. There may be many possibilitie

s. For full credit, just list one for each graph, if the circuit exists

Mathematics
1 answer:
german2 years ago
6 0

9514 1404 393

Answer:

  1. ABHGEFDCA
  2. does not exist
  3. ECBADFE

Step-by-step explanation:

A Hamiltonian circuit visits each node once and returns to its start. There is no simple way to determine if such a circuit exists.

__

For graph 2, if there were a circuit, paths ACB, ADB, and AEB would all have to be on it. Inclusion of all of those requires visiting nodes A and B more than once, so the circuit cannot exist.

__

For graph 3, the circuit must include paths BAD and DFE. That only leaves node C, which can be reached from both nodes B and E, so path ECB completes the circuit.

You might be interested in
Here’s a graph of a linear function. Write the equation that describes that function. (Zoom in if blurry)
Maru [420]

Answer: y = x/2 + 3

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m = change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

Looking at the graph,

y2 = 6

y1 = 4

x2 = 6

x1 = 2

Slope,m = (6 - 4)/(6 - 2) = 2/4 = 1/2

To determine the intercept, we would substitute x = 2, y = 4 and m= 1/2 into y = mx + c. It becomes

4 = 1/2 × 2 + c

4 = 1 + c

c = 4 - 1

c = 3

The equation becomes

y = x/2 + 3

5 0
3 years ago
what are the two major advantages of experimental research over correlational studies? multiple select question. experiments are
Aloiza [94]

The experimental research has two key advantages over correlational studies.

1. The possibility of random assignment

2. Causal connections can be assumed.

<h3>What benefit does experimental research have over correlational research?</h3>

Correlational studies merely examine the data that already exists, whereas experimental studies give the researcher the opportunity to influence the study's factors. Researchers can make inferences about how changes in one variable affect changes in another through the use of experimental investigations.

The factors in a correlation study are out of the control of the researcher or research team. The researcher merely measures the information she discovers in the outside world. She can then determine whether changes in one are related to changes in the other, or if the two variables are correlated. In such a study, experimenters gather existing data and use statistical methods to examine it, such as economic statistics from governments. The findings of correlation studies can lead to hypotheses that can be verified through a more focused experimental one.

To learn more about correlational research visit:

brainly.com/question/14375687

#SPJ4

4 0
1 year ago
How many 3 3/4 foot pieces ribbon can be cut from a pieces of ribbon that is 36 feet long.
lara [203]

Answer:

9\frac{3}{5}

Step-by-step explanation:

3 3/4 = 15/4

\frac{36}{1} ÷ \frac{15}{4}=

\frac{36}{1} *\frac{4}{15}=

\frac{12}{1} *\frac{4}{5}=

=\frac{48}{5}

=9\frac{3}{5}

Hope this helps

5 0
3 years ago
For a project in his Geometry class, Mamadou uses a mirror on the ground to measure the height of his school's football goalpost
andreev551 [17]

Answer:

Height of the goalpost is 9.25 m.

Step-by-step explanation:

As per the rule of reflection in physics,

Angle of incidence = Angle of reflection

As we can see in the picture attached, both the angles (θ) are equal.

m∠ACB = m∠ECD = 90° - θ

m∠ABC = m∠ADC = 90°

Therefore, both the triangles ΔABC and ΔEDC will be similar.

And by the property of similar triangles, their corresponding sides will be proportional.

\frac{AB}{ED}= \frac{CB}{CD}

\frac{1.75}{ED}=\frac{2.6}{13.75}

ED = \frac{1.75\times 13.75}{2.6}

ED = 9.25 m

Height of the goalpost is 9.25 m.

4 0
2 years ago
Write how many hundreds, tens, and ones 118
kherson [118]
Hundreds tens and ones 1 and 1 and 8
5 0
3 years ago
Read 2 more answers
Other questions:
  • To purchase $12,900 worth of machinery for her business, Melissa made a down payment of $2100 and took out a business loan for t
    14·1 answer
  • Please factor this problem x^2+7x-8
    10·1 answer
  • A stick 1 meter long casts a shadow 1.5 meters long. A building casts a shadow 17 meters long. How tall is the building (to 2 de
    11·1 answer
  • How to solve (x+2)^3/4=27
    10·1 answer
  • Michelle is building shelves for her room. She has a plank 137 inches long that she wants to cut into 7 shelves of equal length.
    13·2 answers
  • Find the equation of the line that passes through the points ​(1​,12​) and ​(3​,
    7·1 answer
  • Josh’s mother is buying baked goods for breakfast. Doughnuts cost $1.00
    8·2 answers
  • Pamela rode her bike at a constant rate of 0.1 kilometer per minute. Which table represents y , the number of kilometers Pamela
    10·2 answers
  • PLSSS ANSWER JUST PUT THE NUMBER OF THE QUESTION THEN THE ANSWER PLS HELP ITS OVERDUE AND IM GONNA FAIL 7TH GRADE :(
    8·2 answers
  • What is 68.500.000 written in scientific notation?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!