What is the domain of the piecewise function?
1 answer:
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Answer:
Each side of the L-shaped sidewalk is 126 m and 32m respectively.
Step-by-step explanation:
Given:
Total length of the sidewalk = 158 meters
Cutting across the lawn the distance = 130 meters
The L-shaped lawn will be treated as a right angled triangle.
So the 130 m distance is the hypotenuse here.
Let one side of the L-shaped lawn be 'x' meter so the another side will be (158-x) meters.
Applying Pythagoras formula.
So,
⇒
⇒
⇒
⇒
⇒
⇒
⇒
Applying quadratic formula;
Quadratic formula : where a=1 and b=-158 and c=4032
So the value of x= 126 and 32.
The length of each side of the sidewalk is 'x'= 126 m and '(158-x)'='(158-126)'=32 m
Answer:
Step-by-step explanation:
The first picture below shows the missing image in the question.
There are 4 edges of each tile;
This clearly explains to us that the total number of edges present in the n tiles is 4n.
Now, if a tile "X" touches and comes in contact with another tile "Y", then edges touching each other are one edge of a tile X and one edge of a tile Y.
From the second diagram below, the edge, X_2, and Y_4 are touching each other.
Now, the total number of edges that touch some edges is always even.
We can now say that:
The edge length of filling = No. of edges that do not touch another file
= Total no. of edges - No. of edges that touch another edge.
However, the total number of edges is even.
The number of edges that touch another edge is also even.
Thus, the difference is also even and the number of edges that do not touch another is even.
So, the edge length of filling is always even.
