You have to use the quadratic formula to solve this. The zeros of this quadratic are 2 + sqrt2/2 and 2 - sqrt2/2, which in "real" numbers is 1.707 and .2928
i) The given function is

The domain is all real values except the ones that will make the denominator zero.



The domain is all real values except, x=2.5.
ii) To find the vertical asymptote, we equate the denominator to zero and solve for x.



iii) If we equate the numerator to zero, we get;


This implies that;

iv) To find the y-intercept, we put x=0 into the given function to get;
.
.
.
v)
The degrees of both numerator and the denominator are the same.
The ratio of the coefficient of the degree of the numerator to that of the denominator will give us the asymptote.
The horizontal asymptote is
.
vi) The function has no common factors that are at least linear.
The function has no holes in it.
vii) This rational function has no oblique asymptotes because it is a proper rational function.
Answer:
Step-by-step explanation:
a. We know that KH is a diameter of the circle and that along angles along it on either side adds up to 180° as it's a straight line.
-Therefore, we have that:

Hence, the angle a is equal to 180°
b.We know that GJ is a diameter of the circle and that along angles along it on either side adds up to 180° as it's a straight line.
-Therefore, we have that:

Hence, the angle b is equal to 35°
Answer:
The fraction of the original strip left is
.
Step-by-step explanation:
We have that,
A strip of paper is cut in
. So, the strip of paper left is
.
Now, again the remaining part is cut in half. The part left will be
i.e.
.
Finally, the remaining part is again cut in half.
We get, the final part of the paper remaining is
i.e.
.
So, the fraction of the original strip left is
.