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.
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Answer:
y= 3x+16
Step-by-step explanation:
y = 3x + 8 ║ y= mx +b
Since lines are parallel, m=3
y= 3x+b
(-3, 7) intersect
y= 3x+16
A square is a geometrical figure that has 4 congruent sides and angles. This means all side lengths and angles are the same.
A rectangle is a geometrical figure that has 4 similar sides but are not the same length. However, a rectangle does have congruent angles. A rectangle has 2 sides that are double the other 2 sides, in which both of each (length & width) have the same measurement.
I hope this helps!
Given:
The given sequence is:
To find:
The recursive formula for 
, the nth term of the sequence.
Solution:
We have,
Here, the first term is 5.
The common difference is -7.
The recursive formula for the nth term of the sequence is
Where, 
is the common difference.
Putting 
in the above formula, we get
Therefore, the recursive formula for the nth term of the sequence is .
The Slope of lines parallel to line is 1/2 and the Slope of lines perpendicular to line is -2.
<h3>What is the equation of a straight line ?</h3>
An equation that can be written in the form of y = mx+c
where m is the slope of the line
and c is the intercept on y axis
The equation given in the question is
y=1/2x−7
in this the slope = 1/2
Intercept = -7
For parallel Lines
For a parallel line , the slope of the line is same
and is given by m = 1/2
For a perpendicular line
Slope will be equal to
-1/m
here -1/m = -2
Therefore the slope for perpendicular line is -2.
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