The logarithmic model for the length when the strength is of 8 Pascals is given by:

- That is, the length is of 3 units.
<h3>What is the function?</h3>
The strength in Pascals for a building of length x is given by:

To find the length given the strength, we apply the inverse function, that is:



Hence, when the strength is of 8 Pascals,
, and the length is given by:
You can learn more about logarithmic functions at brainly.com/question/25537936
Answer:
(3, 8) and (9, 24) lie on the same line through the origin.
because (9, 24) is the result of dilatation of (3, 8) with scale factor 3.
(6, 21) is not the result, because 21 ≠ 2×8, even 6 = 2×3
Answer: f(x) will have vertical asymptotes at x=-2 and x=2 and horizontal asymptote at y=3.
Step-by-step explanation:
Given function: 
The vertical asymptote occurs for those values of x which make function indeterminate or denominator 0.
i.e. 
Hence, f(x) will have vertical asymptotes at x=-2 and x=2.
To find the horizontal asymptote , we can see that the degree of numerator and denominator is same i.e. 2.
So, the graph will horizontal asymptote at 
i.e. 
Hence, f(x) will have horizontal asymptote at y=3.
Well... Basically, you should prove this by SSS property(side-side-side). It's fair to say that the length of a side is equal to itself so The line that cuts through the rectangle is a side for both rectangles. Thus because of the given, all the sides of the triangles are equal to one another. This is a very important trick for geometry(I remember using it a lot).
Hope this helps!