Answer:
Choice C
Step-by-step explanation:
When setting up synthetic division you do:
x-5=0
x=5
and get the numerator's coefficients:
1, -3, 4
so that's 5 | 1 -3 4
It’s 178-9 that’s the answer
(B) - Yes, because the amount owed changes by 2.25 every time the miles change by 1.
Starting at 1 mile the price is 2.5 dollars.
Mile 2 is 4.75 dollars. What is the difference between 4.75 and 2.5? 2.25
Mile 3 is 7 dollars. What is the difference between 7 and 4.75? 2.25
Mile 4 is 9.25 dollars. What is the difference between 9.25 and 7? 2.25
Mule 5 is 11.5 dollars. What is the difference between 11.5 and 9.25? 2.25
The change is always 2.25 dollars.
The change is 2.25 dollars per mile.
One way to solve for this is (11.5 - 2.5)/(5-1)=2.25
This is (y2-y1)/(x2-x1). By picking 2 points, (x1,y1) and (x2,y2) you can solve for the slope (rate of change) between them.
Given that the terminal side of an <θ intersects the unit circle at the point
![P(\frac{5}{6},\frac{-\sqrt[]{11}}{6})](https://tex.z-dn.net/?f=P%28%5Cfrac%7B5%7D%7B6%7D%2C%5Cfrac%7B-%5Csqrt%5B%5D%7B11%7D%7D%7B6%7D%29)
From the given point P:
![\begin{gathered} x=\frac{5}{6} \\ y=\frac{-\sqrt[]{11}}{6} \\ \text{ s}ince,\text{ x is positive and y is negative, the angle lies in the 4th quadrant} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D%5Cfrac%7B5%7D%7B6%7D%20%5C%5C%20y%3D%5Cfrac%7B-%5Csqrt%5B%5D%7B11%7D%7D%7B6%7D%20%5C%5C%20%5Ctext%7B%20s%7Dince%2C%5Ctext%7B%20x%20is%20positive%20and%20y%20is%20negative%2C%20the%20angle%20lies%20in%20the%204th%20quadrant%7D%20%5Cend%7Bgathered%7D)
![\begin{gathered} \tan \theta=\frac{\text{ opposite}}{\text{Adjacent}}=\frac{y}{x} \\ \tan \theta=\frac{\frac{-\sqrt[]{11}}{6}}{\frac{5}{6}}=\frac{-\sqrt[]{11}}{5} \\ \tan \theta=-0.6633 \\ \theta=326.44^0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctan%20%5Ctheta%3D%5Cfrac%7B%5Ctext%7B%20opposite%7D%7D%7B%5Ctext%7BAdjacent%7D%7D%3D%5Cfrac%7By%7D%7Bx%7D%20%5C%5C%20%5Ctan%20%5Ctheta%3D%5Cfrac%7B%5Cfrac%7B-%5Csqrt%5B%5D%7B11%7D%7D%7B6%7D%7D%7B%5Cfrac%7B5%7D%7B6%7D%7D%3D%5Cfrac%7B-%5Csqrt%5B%5D%7B11%7D%7D%7B5%7D%20%5C%5C%20%5Ctan%20%5Ctheta%3D-0.6633%20%5C%5C%20%5Ctheta%3D326.44%5E0%20%5Cend%7Bgathered%7D)
Answer:
x=-5
Step-by-step explanation:
if point the line is passing through is -5, -2 and the line is vertical than x would have to stay the same no matter where the y is because it's vertical.
