For the answer to the question above asking w<span>hich of the following is true for the rational function f(x) = x-4/x^2-16?
The answer is
</span><span>g(x)=2 / x^2-16 </span>
<span>g(x) = 2 /(x+4)(x-4) </span>
<span>setting the denominator to 0, the vertical asymptotes are x = 4 and x = -4
I hope my answer helped you. Feel free to ask more questions. Have a nice day!</span>
Answer:
(0,-4-4√6) and (0,-4+4√6)
Step-by-step explanation:
To determine the coordinates as Jon wants to place it 14 points away
√10^2+(a+4)^2 = 14
100+(a+4)^2 = 196
(a+4)^2 = 96
a+4 = ±√96
a+4 = ±4√6
a= -4±4√6
First you differentiate to find the gradient
dy/dx = (6 - - 8) / (-4 - 7)
= 14 / -11
= - 14/11
Then you use this formula
y - y1 = m (x - x1)
y1 being the y coordinate
x1 being the x coordinate
m being the gradient (or slope)
y - 6 = -14/11 (x - - 4)
y - 6 = -14/11x - 56/11
y = -14/11x + 10/11
