Answer:
We proceed to use the following operations: (i) <em>Vertical translation downwards</em> (
), (ii) <em>Vertical compression</em> (
), (iii) <em>Vertical translation upwards</em> (
). The graph is presented below.
Step-by-step explanation:
To transform
into
, we apply the following steps:
(i) <em>Vertical translation downwards</em> (
)
(1)
(ii) <em>Vertical compression</em> (
)
(2)
(iii) <em>Vertical translation upwards</em> (
)

Now, we proceed to transform the primitive expression:
Step 1

Step 2

Step 3

The graph of both function are now presented below. The parent function is the red line and the new function is represented by the blue line.
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Answer:

Step-by-step explanation:
If the ratio of the sides is 13:14:15, we can say that the length of each side is 13x, 14x and 15x.
Then, if the perimeter is 84 m, we have:



The length of each side is:



Now, to find the area of the field, we can use the following formula:

Where a, b and c are the sides and p is the semi perimeter:

So we have that:


Answer:
tan p = 5/12.
tan p = cot r.
Step-by-step explanation:
RQ = √(13^2 - 12^2)
= √25
= 5.
tan p = opposite side / adjacent side = 5/12.
cot r = adjacent side / opposite side = 5/12.
tan p = cot r.