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elena-s [515]
3 years ago
10

Goes through every edge exactly one; starts and stops at different places. a Hamiltonian Path b Hamiltonian Circuit c Euler Path

d Euler Circuit
Mathematics
1 answer:
Mariana [72]3 years ago
8 0

Answer:

D. Euler Circuit.

Step-by-step explanation:

An Euler Circuit goes through every edge exactly once; starts and stops at the same vertex.

According to the Euler's Theorem, A graph has an Euler path if there are two 2-degree vertices without odd degrees and all other vertices have even degrees.

Mathematically, it is given as;

V+F=2-E

where;

F is the number of faces

V the number of vertices

E the number of edges.

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Help me please..........
romanna [79]

Answer: <em>(-3; -11)</em>

Step-by-step explanation:

\left \bigg \{ {\big{y=7x+10} \atop\big {y=-4x-23}} \right.\\\\7x+10=-4x-23\\7x+10-10=-4x-23-10\\7x=-4x-33\\7x+4x=-4x-33+4x\\11x=-33\\11x \div 11=-33 \div 11\\x=-3\\\\y=7x+10\\y=7 \times (-3)+10=-21+10=-11

5 0
3 years ago
Please help I dont get it<br> x - 3 1/2 = 8.5
Vlad1618 [11]

Answer:

12

Step-by-step explanation:

x - 3\frac{1}{2} = 8.5          

x - \frac{7}{2} = 8.5         Convert the mixed fraction to a imroper fraction.

x - 3.5 = 8.5     Convert the improper fraction to a decimal number.

x = 12                Add 3.5 to both sides.

7 0
3 years ago
Please help with question 6, 7, 8, and 9 about rational and irrational numbers
aliina [53]
6. When we multiply two surdic integers, we can leave it into one big surd.
For instance, if we have:

\sqrt{a} \cdot \sqrt{b}, we can simplify it down to one uniform square root sign, \sqrt{ab}.

So, we can say: 3\sqrt{2} \cdot 8\sqrt{18} = 24\sqrt{36}, which is a rational root, because the square root of 36 can be converted into an integer, namely 6 and -6.

Hence, it is a rational root.

7. The summation, on the other hand, cannot be simplified any further, so it will stay as irrational. This is because √2 is already an irrational root, and adding it onto a number that is rational will stay as irrational.

8. Once again, the summation cannot be simplified. We can only simplify by factoring like terms. Hence, this must be irrational.

9. Even if it is in fractional notation, √5 can never be a rational number because no two integers when multiplied by itself will give 5. So, even if it is written in fractional form, they cannot be rational if there is an already irrational term in it.
4 0
3 years ago
Jacob used 1/7 of a liter of water to fill 1/9 of the fish aquarium. How many liters of water are needed to fill the aquarium?
laila [671]
Jacob used 1/7 of a liter of water.
He needs to fill 1/9 of the fish aquarium.
Find how many liters would Jacob need to fill the aquarium
=> Let x = liters of water need to fill the aquarium
=> x/1 = 1/7 divided by 1/9
=> x = 1/7 x 9/1
=> x = 9/7, since this is an improper fraction, let’s convert it to mixed fraction
=> x  = 1 and 2/7
So, Jacob need 1 and 2/7 liter of water to fill the whole aquarium.



3 0
3 years ago
Can you guys please help me posted picture of question
Dimas [21]
Number of outcomes of rolling a die = 6
Number of outcomes from the spinner = 8

First we have to draw the 6 leaves to represent the 6 outcomes of rolling the die. Next on each of these leaves 8 possible outcomes of the spinner will be drawn using leaves.

So 6 leaves are being divided into further 8 leaves.

Thus total number of leaves will be  = 6 x 8 = 48 leaves

Therefore, the correct answer is option D 
3 0
3 years ago
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