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Sergio039 [100]
1 year ago
11

Determine whether the graph is bipartite.

Mathematics
1 answer:
ollegr [7]1 year ago
6 0

The graph isn't bipartite because it isn't possible to assign either Blue or Red to each vertex, without having connected vertices with the same color.

<h3>What is the bipartite graph theorem?</h3>

The bipartite graph theorem states that a graph is considered to be bipartite only if it's possible to assign either Blue or Red to all the vertex, such that no two (2) connected vertices would have the same color.

By critically observing the image after assigning the colors to each vertices (see attachment), we can logically deduce that the graph isn't bipartite because it isn't possible to assign either Blue or Red to all the vertex, without having connected vertices with the same color.

Read more on bipartite graph here: brainly.com/textbook-solutions/q-exercises-2-1-25-determine-graph-bipartite-useful

#SPJ1

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Hey scale drawing of Jamy’s living room is 4cm in width and 6cm length. If each 2cm on the scale drawing equals 8 feet what are
igor_vitrenko [27]
2 cm = 8 feet.
4 / 2 = 2. 8 * 2 = 16.  16 feet in width.
Now, the length:
6 / 2 = 3. 8 * 3 = 24. 24 feet in length.
The actual dimensions are 16 feet in width and 24 feet in length.

5 0
2 years ago
For the scientific notation, write the standard form: 5.61 x 102
Alekssandra [29.7K]

<em>I believe the exponential form above is 5.61 x </em>10^{2}

Answer:

561

Step-by-step explanation:

A<em> "scientific notation"</em> is being used in order to express large numbers in its <u>simplest form</u>. This is commonly used in careers that use Mathematics very often like<em> engineers</em> or<em> scientists </em>because it makes their computation easier.

The<em> "standard form"</em> refers to the standard or traditional way of writing the numbers.

In order to get the standard form above, you have to check the <em>"power of the number 10." </em>The exponent above is 2. This means that you have to move the decimal point of 5.61 to the<em> right twice.</em> So, the answer is 561.

4 0
3 years ago
Find the tangent of angle Θ in the triangle below.
Rina8888 [55]

Answer: \frac{\sqrt{65}}{4}

Step-by-step explanation:

By the Pythagorean theorem, the unknown side has length

\sqrt{9^{2}-4^{2}}=\sqrt{65}

Therefore,

\tan \theta=\boxed{\frac{\sqrt{65}}{4}}

4 0
1 year ago
Tim and Cynthia leave Cynthia's house at the same time. Tim drives north and Cynthia drives west. Tim's average speed is 10 mph
RSB [31]

Answer:

  54.2 mph

Step-by-step explanation:

Since the drivers leave at the same time and travel in directions 90° from each other, their separation speed can be found using the Pythagorean theorem. Let c represent Cynthia's average speed. Then (c-10) will represent Tim's average speed. Their combined separation speed is 70 miles per hour, so we can write ...

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  4900 = 2c² -20c +100 . . . . eliminate parentheses

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  c = 5 ±5√97 . . . . . . . . . . . . solve for c, simplify radical

  c ≈ 54.244 ≈ 54.2 . . . . . . . use the positive solution

Cynthia's average speed was 54.2 miles per hour.

6 0
2 years ago
Multiply polynomials (x+4)(x+5)
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Answer:

x^{2} +9x+20

Step-by-step explanation:

3 0
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