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Answer:
2 units tall by 1 unit wide
Step-by-step explanation:
On the given rectangle it tell you the conversion to m is 1 unit = 2 m.
The new figure that needs to be drawn has a conversion of 1 unit = 8m.
So, the fist thing we need to do is calculate the m on the width at the height of the original, which is 16 by 8.
looking at this we can now convert this measurement into our new conversion of 1 unit = 8 m. We can do this by dividing the height and width separately.
Ex:
Since 16 is divided by 8 two times so that gives us the answer of 2 units.
8 is divisible by 8 one time so that gives us the width of 1 unit
if this is confusing just think of it like: x= for the height or x =
for the width.
We will investigate how to determine Hamilton paths and circuits
Hamilton path: A path that connect each vertex/point once without repetition of a point/vertex. However, the starting and ending point/vertex can be different.
Hamilton circuit: A path that connect each vertex/point once without repetition of a point/vertex. However, the starting and ending point/vertex must be the same!
As the starting point we can choose any of the points. We will choose point ( F ) and trace a path as follows:
The above path covers all the vertices/points with the starting and ending point/vertex to be ( F ). Such a path is called a Hamilton circuit per definition.
We will choose a different point now. Lets choose ( E ) as our starting point and trace the path as follows:
The above path covers all the vertices/points with the starting and ending point/vertex are different with be ( E ) and ( C ), respectively. Such a path is called a Hamilton path per definition.
One more thing to note is that all Hamilton circuits can be converted into a Hamilton path like follows:
The above path is a hamilton path that can be formed from the Hamilton circuit example.
But its not necessary for all Hamilton paths to form a Hamilton circuit! Unfortunately, this is not the case in the network given. Every point is in a closed loop i.e there is no loose end/vertex that is not connected by any other vertex.
Answer:
A)
B) T = -5 °C
Step-by-step explanation:
A) Let T be the change in temperature of the week. T is determined as the total temperature change (-20°C) divided by the number of weeks that have passed (4 weeks). The expression is:
B) In order to simplify the expression, simply perform the division.
This means that the temperature has dropped by 5 degrees each week.