Answer:
The variable is usually the unknown part of the whole.
Answer:
![-\frac{77}{24}](https://tex.z-dn.net/?f=-%5Cfrac%7B77%7D%7B24%7D)
Step-by-step explanation:
1. rewrite the equation in standard form: ![4\cdot \frac{3}{2}\left(y-\left(-\frac{41}{24}\right)\right)=\left(x-\left(-\frac{3}{2}\right)\right)^2](https://tex.z-dn.net/?f=4%5Ccdot%20%5Cfrac%7B3%7D%7B2%7D%5Cleft%28y-%5Cleft%28-%5Cfrac%7B41%7D%7B24%7D%5Cright%29%5Cright%29%3D%5Cleft%28x-%5Cleft%28-%5Cfrac%7B3%7D%7B2%7D%5Cright%29%5Cright%29%5E2)
2. find (h,k), the vertex. the vertex is ![\left(h,\:k\right)=\left(-\frac{3}{2},\:-\frac{41}{24}\right)](https://tex.z-dn.net/?f=%5Cleft%28h%2C%5C%3Ak%5Cright%29%3D%5Cleft%28-%5Cfrac%7B3%7D%7B2%7D%2C%5C%3A-%5Cfrac%7B41%7D%7B24%7D%5Cright%29)
3. find the 'focal length' of the parabola - the focal length is the distance between the vertex and the focus. from the vertex we can see that the focal length, p, = 3/2
4. Parabola is symmetric around the y-axis and so the asymptote is a line parallel to the x-axis, a distance p from the
y coordinate which is at
. Set up the equation:
![y=-\frac{41}{24}-p](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B41%7D%7B24%7D-p)
5. substitute and solve:
![y=-\frac{41}{24}-\frac{3}{2}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B41%7D%7B24%7D-%5Cfrac%7B3%7D%7B2%7D)
![y = -\frac{77}{24}](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B77%7D%7B24%7D)
hope this helps, ask me questions if you still don't understand.
Answer:
y = -1/2x + 2
Step-by-step explanation:
y = 2x - 3. The slope here is 2. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, just flip the slope and change the sign.
slope = 2 or 2/1.....flip it.....1/2....change the sign...-1/2. So our perpendicular line will have a slope of -1/2.
y = mx + b
slope(m) = - 1/2
(2,1)....x = 2 and y = 1
now we sub and find b, the y intercept
1 = -1/2(2) + b
1 = -1 + b
1 + 1 = b
2 = b
so ur equation is : y = -1/2x + 2 <===
and u can check it with ur points....(2,1)
y = 2x - 3
1 = 2(2) - 3
1 = 4 - 3
1 = 1 (yep...it checks out)
Employee statement is the correct answer
Answer:
2.05
Step-by-step explanation: