When the denominator = 0 and the numerator does not, you get a vertical asymptote. That said a = - 1
If the exponents on the highest variable are the same in the horizontal asymptote is the division of coefficient on the top with the bottom. In plain English what that means is that if you make m = 1 then the coefficients are 2 and 1 (2 in the numerator and 1 in the denominator). If m is any other value greater than 1 there is not a horizontal asymptote.
C <<<====answer.
Third one down.
The answer is 1.551 or 6.449
The formula of the area of the circle:
π × radius^2
In this case, given that the radius is 14 inches:
π × 14^2
=196π square inches
Therefore the answer is 196π square inches.
Hope it helps!
Answer:
parallel means that the line has the same slope as
![y = \frac{1}{2} x + 9](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%209)
Slope point formula :
y - y1 = m (x - x1)
m represents the slope.
x and y represents the point in the form (x, y).
Since the slopes are the same we can substitute the slope into the formula:
![y - y1 = \frac{1}{2} (x - x1)](https://tex.z-dn.net/?f=y%20-%20y1%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%28x%20-%20x1%29)
then we can substitute our point (2, - 5)
![y - ( - 5) = \frac{1}{2} (x - 2)](https://tex.z-dn.net/?f=y%20-%20%28%20-%205%29%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%28x%20-%202%29)
Final answer:
Change the - 5 to positive.
![y + 5 = \frac{1}{2} (x - 2)](https://tex.z-dn.net/?f=y%20%2B%205%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%28x%20-%202%29)
Leave y by it's own and subtract 5 to get rid of it. Do this both sides to make it equal.
![y + 5 - 5 = \frac{1}{2} (x - 2) - 5](https://tex.z-dn.net/?f=y%20%20%2B%205%20-%205%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%28x%20-%202%29%20%20-%205)
Get rid of the brackets by multiplying:
![y =( \frac{1}{2} \times x) - ( \frac{1}{2} \times 2) - 5](https://tex.z-dn.net/?f=y%20%3D%28%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20x%29%20%20-%20%28%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%202%29%20-%205)
simplify:
![y = \frac{1}{2} x - 1 - 5](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20-%201%20-%205)
Answer:
![y = \frac{1}{2} x - 6](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20-%206)