The image is decomposed as follows: H1 and H2. Where original graph is Hx.
<h3>Are the images (attached) valid decompositions of the original graph?</h3>
- Yes, they are because, H1 and H1 are both sub-graphs of Hx; also
- H1 ∪ H2 = Hx
- They have no edges in common.
Hence, {H1 , H2} are valid decomposition of G.
<h3>What is a Graph Decomposition?</h3>
A decomposition of a graph Hx is a set of edge-disjoints sub graphs of H, H1, H2, ......Hn, such that UHi = Hx
See the attached for the Image Hx - Pre decomposed and the image after the graph decomposition.
Learn more about decomposition:
brainly.com/question/27883280
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Answer:
Step-by-step explanation:
Given that , the sum of the first nine terms of an arithmetic series is 162 and the sum of the first 12 terms is 288.
<h3>
<u>Related</u><u> </u><u>Infor</u><u>mation</u><u> </u><u>:</u><u>-</u><u> </u></h3>
• The sum of n terms of an AP is
![\boxed{\orange{\sf S_n = \dfrac{n}{2}[2a+(n-1)d] }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Corange%7B%5Csf%20S_n%20%3D%20%5Cdfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D%20%7D%7D)
• nth term of an AP is given by ,
Answer:
The value of the trigonometric-ratio:
Step-by-step explanation:
Given the angle X
It is clear that:
- The opposite of the angle X = 48
- The adjacent to the angle X = 14
We know that the trigonometric-ratio of Tan X is defined as
Tan X = Opposite / Adjacent
substituting Opposite = 48, and Adjacent = 14
Tan X = 48/14
Tan X = 24 / 7
Therefore, the value of the trigonometric-ratio:
Answer:
y=4x-4
Step-by-step explanation:
Hi there!
we are given that a line has a slope of 4 and it contains the point (4, 12)
We want to write the equation of this line in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
As we are already given the slope, we can immediately substitute it into the formula.
Replace m with 4 in y=mx+b:
y=4x+b
Now we need to find b
As the equation passes through the point (4, 12), we can use it to help solve for b
Substitute 4 as x and 12 as y:
12 = 4(4) + b
Multiply
12 = 16 + b
Subtract 16 from both sides
-4 = b
Substitute -4 as b
y = 4x - 4
Hope this helps!
Topic: Finding the equation of the line
See more on this topic here: brainly.com/question/27539102
Answer:
13 grados es igual a 0.226893 radianes
Step-by-step explanation:
