The diagram shows a map of three land masses, numbered region 1, region 2, and region 3, connected via bridges over water. Each bridge can be traversed in either direction. (diagram is attached)
Show that there are 10 walking routes that start and end in region 2, crossing over water exactly twice. Assume each bridge, when crossed, is fully traversed to the next land mass.
Answers
Answer:
Explanation
Step-by-step explanation:
If you look closely, every route connected to region 2 could go to either region 1 or 3, which each could go back to region 2 in 3 different formats. For example the top bridge of region 2, could go through region 1, then region 3 then to the middle bridge of region 2. This can happen for all three of the other route when going backs and works for all bridges in region 2.
Related Questions
Identify the vertical asymptotes of f(x) = quantity x plus 6 over quantity x squared minus 9x plus 18. X = â’6 and x = â’3 x = â’6 and x = 3 x = 6 and x = â’3 x = 6 and x = 3.
Answers
The vertical asymptotes of the function are 3 and 6
Given the function
[tex]\frac{x+6}{x^2-9x+18}[/tex]
The vertical asymptotes of the function occur at the point where the denominator is zero.
Equate the denominator to zero.
x^2 - 9x + 18 = 0
Factorize the quadratic expression:
x^2 - 3x - 6x + 18 =0
x(x-3)-6(x-3) = 0
(x-3)(x-6) = 0
x - 3 = 0 and x - 6 = 0
x = 3 and 6
Hence the vertical asymptotes of the function are 3 and 6
Learn more on vertical asymptotes here: https://brainly.com/question/21678319
For a given series, s1=1, s2=8, s3=21 what is the 3rd term in the sequence?
Answers
Answer:
S=13, read pictures below
Step-by-step explanation:
25 points! :)
Pretty simple question, just not sure how to do it.
Answers
ANSWER
-3 -2, 0, .5, 1, 100 for domain
0, 1.8, 10, 19, 77, 100 For Range
Step-by-step explanation:
Domain is all the x values from least to greatest, and range is all the y vlues from least to greatet
State the slope and y-intercept for the graph of
- 8x + y = -12.
Answers
Answer:
y must have a numerical coefficient of 1. This equation does. If it does not, then you must divide through by whatever is in front of the y.
To read the slope, you must have x and its coefficient on opposite sides of the equal sign.
So you get
y = 8x – 12 when you add 8x to both sides
Next, the y intercept is found when x = 0
y = 8x – 12
y = 8(0) – 12
y = – 12
The y intercept is -12 or in point form (0, – 12)
Answer
slope = 8
y intercept = – 12
Step-by-step explanation:
If b = the number of boys, which algebraic expression represents the phrase
below?
the sum of the number of boys and 15 girls
A. b + 15
B. b. 15
C. b - 15
D.
b
15
Answers
Answer:
A. b + 15Step-by-step explanation:
b = the number of boys, substitute below:
The sum of the number of boys and 15 girls → The sum of b and 15 → b + 15Correct choice is A
Jeremy got a haircut and paid 15% as a tip. What percent of the cost did Jeremy pay the barber, including the tip?
Answers
The percentage of the cost that Jeremy will pay including the tip paid is 115% of the cost.
Assuming the cost was $100 and Jeremy gave a 15% tip. The total he would pay is:
= 100 + tip
= 100 + (100 x 15%)
= $115
In percentage this is:
= 115/100 x 100%
= 115%
In conclusion, Jeremy would pay 115% of the tip.
Find out more at https://brainly.com/question/22444616.
HELP QUICK WILL GIVE BRAINLIEST
Answers
Answer:
y = mx + b is the slope intercept form of writing the equation of a straight line
Step-by-step explanation:
y = mx + b is the slope intercept form of writing the equation of a straight line. In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line. The slope or gradient of a line describes how steep a line is.
What is 7 x 1/4 ? Draw a model of your choice to help you solve in decimal form
Answers
Answer:
1 and 3/4
Step-by-step explanation:
7×1/4 (the / symbolizes ÷)
(7×1) ÷4
7/4 ( divide by 4)
=1 and 3/4
What is the value of the digit in the millions place?
56,931,446
A. 9,000,000
B. 50,000,000
C. 6,000,000
D. 400,000
Answers
Answer:
C 6,000,000
Step-by-step explanation:
Does anyone get this??
Answers
Answer:
the answer is 12m
Step-by-step explanation:
u know the side c and side B.
C=15m but u have to square it which is 225
B=9m but u have to square it which is 81. then subtract 82 from 225.which will give u 144 which is a perfect square route of 12
PLS HELP using only the marking in the diagram, what theorem can be used to show that the two triangles are congruent
a.) AAS
b.)ASA
c.)HL
d.)SSS
Answers
We can see that angles BAC and EDF are equal
We can also see that lines AC and DF are equal
And we can see that angles ACB and DFE are equal
solve the equation 5x+x-7=4x-2-x
Answers
Answer:
[tex]x=\frac{5}{3}[/tex]
Step-by-step explanation:
Brainliest pls?
i a stoc kcar model is built to scale of 1 cm : 2.5 ft and the model measures 7.7 cm in length, what will be the length of actual stock car?
Answers
Answer:
19.25 ft
Step-by-step explanation:
for every one cm the actual car is 2.5 feet. therfore it would be 7.7 times 2.5 which equals 19.25
Find the product:
[tex] \frac{1}{8} \times \sqrt{8} [/tex]
Answers
Answer:
≈ 0.35
Step-by-step explanation:
First simplify [tex]\sqrt{8}[/tex] and [tex]\frac{1}{8}[/tex] :
[tex]\sqrt{8}[/tex] ≈ 2.83
[tex]\frac{1}{8}[/tex] = 0.125
Now multiply them as shown in the original equation:
0.125 x 2.83 = 0.35375 ≈ 0.35
PLEASE HELP ME I NEED HELP
Answers
Answer:
3052.1 in³
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = 4/3πr³ . . . . r is the radius
The radius is half the diameter, so is 9 in. Then the volume is ...
V = (4/3)(3.14)(9 in)³ = 972(3.14) in³ ≈ 3052.1 in³
Find the difference of (4.2 x 103) - (2.7 x 103) Show work.
-
Answers
Answer:
154.5
Step-by-step explanation:
just inputed the equation in desmos.
Answer: 154.5
Step-by-step explanation:
4.2*103=432.6
2.7*103=278.1
432.6-278.1=154.5
19. The present age of brother and sister are in the ration 4:5 Before three years the ration of their age was 3:4. find their present age-
Answers
Answer:
Sister = 15 years old
Brother = 12 years old
Step-by-step explanation:
Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X
Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have
B = 3X
S = 4X
B-3 = (3/4)(S-3)
Therefore, we have a system of equations
B = (4/5)S
B-3 = (3/4)(S-3)
Substitute (4/5)S for B into the second equation to only have one variable
(4/5)S - 3 = (3/4)(S-3)
(4/5)S - 3 = (3/4)S - 9/4
add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient
(1/20)S = 3/4
multiply both sides by 20 to isolate the S
S = 15
B = (4/5)S = 12
help i have math homework and im real bad at it i got a B- last year so help
Answers
Miguel glues a ribbon border around the edges of a 5-inch by 8-inch picture to create a frame. What is the total length of ribbon Miguel uses?
Answers
Answer:
26
Step-by-step explanation:
ankita and her three friends are going to share a three bedroom apartment if the total rent is Rp.r, what is ankitas share
Answers
Using proportions, it is found that Ankita's share is of [tex]\frac{x}{4}[/tex], considering that the total rent is of x Rp.r.
This question is solved by proportions, using a rule of three.Considering that there are 4 people and the rent is of x Rp.r, 4 people pay x, how much does Ankita, which is one person, pay?The rule of three is:
4 people - x
1 people - a
Applying cross multiplication:
[tex]4a = x[/tex]
[tex]a = \frac{x}{4}[/tex]
Ankita's share is of [tex]\frac{x}{4}[/tex], considering that the total rent is of x Rp.r.
You can learn more about proportions at https://brainly.com/question/24372153
2x- 5 >18 +x
necesito ayuda pliss
necesito con resolución
Answers
Answer:
x > 23
Step-by-step explanation:
2x - 5 > 18 + x
x - 5 > 18
x > 23
brainliest pls
PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you
Answers
Answer:
1/5 so the first option
Step-by-step explanation:
slope
(y2-y1)/(x2-x1)
Find the area of each figure
Answers
Answer:
flu
Step-by-step explanation:
ugh
A number is les than or equal to -11
Answers
Answer:
-12 is the answer for this question
Step-by-step explanation:
make me as brainlist
Answer:
[tex]x\leq-11[/tex]
Step-by-step explanation:
Solve the inequality-8≤3x-17<19
Answers
Answer: The answer is X∈[3,12).
Answer:
-8≤3x-17<19
-8+8 ≤ 3x - 17 + 8 < 19 + 8
0 ≤ 3x - 9 < 27
0 ≤ 3x - 9 + 9 < 27 + 9
0 ≤ 3x < 36
0 ≤ 3x / 3 < 36/3
0 ≤ x < 12
So x can be 0 or less than 12. A number between 0 and 12
Solve for x
−4x+60<72 OR 14x+11<−31
Answers
Answer:
14x+11<-31
14x<-42
x=-3
Hope This Helps!!!
Please help me 87x89 PLEASE
Answers
Answer:
7743 :)
Step-by-step explanation:
If the original quantity is 10 and the new quantity is 3, what is the percent increase?
Answers
Answer:
30% Increase
Step-by-step explanation:
We Know 3 is 30% of 10 and 10+3=13 so we know that 13 is a 30% increase of 10.
Hopes This Helps :)
PLEASE NO LINKS AND NO NEGATIVITY
Answers
Answer:
-21z-35t+21g
Step-by-step explanation:
Use the distributive property of multiplication to distribute -7 to 3, 5, and -3. -7*3 is -21, so we are left with -21z. -7*5 is -35, so we are left with -35t. Finally, -7*-3 is 21, so we are left with +21g
The diagram below shows a Sudoku puzzle with a difference. Some of the lines between adjacent cells have a number on them; this is the product of the numbers in the cells.
The normal rules of Sudoku also apply: the numbers 1 to 9 must appear once each in each row, once in each column, and once in each square block.
Can you solve this puzzle?