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.
Answer:
(7.5 , -2.5)
Step-by-step explanation:
Sub the values into this formula
Answer:
7y^2
Step-by-step explanation:
Answer:
4×sqrt(5) inches
Step-by-step explanation:
Pythagorean theorem states that (for right triangles) if you square each shorter side and add those together, you will get the sum of the longest side (hypotenuse) squared.
This is commonly written as:
a^2 + b^2 = c^2, where c is the hypotenuse.
((For right triangles this will always be opposite the 90° angle.))
Since you know one of the shorter sides and the hypotenuse, rewrite the equation as such:
c^2 - b^2 = a^2, where a is the unknown length
This goes to:
sqrt(c^2 - b^2) = a
sqrt((12in)^2 - (8in)^2) = a
sqrt(144sqin - 64sqin) = sqrt(80sqin) = a
This simplifies to:
sqrt(16sqin)×sqrt(5sqin) = 4in×sqrt(5sqin) = a
