Using the fact that the triangles shown are similar, we can set up a proportion between the lengths of the sides.
The side length in question is QR, or "x". To find its corresponding side in the larger triangle let's look at the similarity.
MNO is similar to PQR
Vertices are always written in order of correspondence when stating similarities. Since QR are the last two letters of the triangle's name, and NO are the last two letters of the larger triangle's name, we know that QR and NO are corresponding sides. We can apply this same method to any other side.
NO/QR = MN/PQ
(MN and PQ are also corresponding sides)
Now we can substitute the side names with their values.
4.5/x = 5/2
Cross multiply
5x = 9
Divide both sides by 5
x = 9/5 or 1.8 or 1 4/5
Hope this helps!
y = (9 / (x^2)) + 2
Rewrite in terms of f(x):
y = (9/(g(x))) + 2
To get
g(x) = x^2
f(x) = 9/x + 2
Answer:
As 
Step-by-step explanation:
Given:
From the graph, we can conclude that:
The function has vertical asymptotes at 
The function has horizontal asymptote at 
Vertical asymptotes are those values of 'x' for which the functions tends towards infinity. Horizontal asymptote is the value of the function as the 'x' value tends to infinity.
Now, as
means the right hand limit of the function at 
From the graph, the right hand limit is the right side of the asymptote of the function at
. The right side shows that the function is tending towards negative infinity.
Therefore, As 
Sorry but you didnt add a picture nor description. If you can, please re-ask this question with the following:
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Thanks - Madilyn.