Answer:
![y = \frac{5}{4} x -11](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B5%7D%7B4%7D%20x%20-11)
Step-by-step explanation:
Given line ;
![y = \frac{5}{4} x -3\\\\m = slope\\m = \frac{5}{4}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B5%7D%7B4%7D%20x%20-3%5C%5C%5C%5Cm%20%3D%20slope%5C%5Cm%20%3D%20%5Cfrac%7B5%7D%7B4%7D)
1. Perpendicular and passes through (4,-6)
![m_1 = \frac{5}{4} \\\\m_2 = \frac{-1}{m_1} \\\\m_2 = \frac{-1}{\frac{5}{4} } \\\\m_2 = -\frac{4}{5} \\\\(4,-6)=(x ,y)\\](https://tex.z-dn.net/?f=m_1%20%3D%20%5Cfrac%7B5%7D%7B4%7D%20%5C%5C%5C%5Cm_2%20%3D%20%5Cfrac%7B-1%7D%7Bm_1%7D%20%5C%5C%5C%5Cm_2%20%3D%20%5Cfrac%7B-1%7D%7B%5Cfrac%7B5%7D%7B4%7D%20%7D%20%5C%5C%5C%5Cm_2%20%3D%20-%5Cfrac%7B4%7D%7B5%7D%20%5C%5C%5C%5C%284%2C-6%29%3D%28x%20%2Cy%29%5C%5C)
Substitute the values above into slope intercept form ; y=mx+b and solve for b.
![y =mx+b\\\\-6 = -\frac{4}{5} (4) + b\\\\-6 = -\frac{16}{5} + b\\\\-6 + \frac{16}{5} = b\\\\-\frac{14}{5} = b\\\\b = -\frac{14}{5}\\\\m = - \frac{4}{5}](https://tex.z-dn.net/?f=y%20%3Dmx%2Bb%5C%5C%5C%5C-6%20%3D%20-%5Cfrac%7B4%7D%7B5%7D%20%284%29%20%2B%20b%5C%5C%5C%5C-6%20%3D%20-%5Cfrac%7B16%7D%7B5%7D%20%2B%20b%5C%5C%5C%5C-6%20%2B%20%5Cfrac%7B16%7D%7B5%7D%20%3D%20b%5C%5C%5C%5C-%5Cfrac%7B14%7D%7B5%7D%20%3D%20b%5C%5C%5C%5Cb%20%3D%20-%5Cfrac%7B14%7D%7B5%7D%5C%5C%5C%5Cm%20%3D%20-%20%5Cfrac%7B4%7D%7B5%7D)
Substitute new values into ; y =mx+b.
![y = -\frac{4}{5} (x)- (\frac{14}{5} )\\\\y = -\frac{4}{5} x - \frac{14}{5}](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B4%7D%7B5%7D%20%28x%29-%20%28%5Cfrac%7B14%7D%7B5%7D%20%29%5C%5C%5C%5Cy%20%3D%20-%5Cfrac%7B4%7D%7B5%7D%20x%20-%20%5Cfrac%7B14%7D%7B5%7D)
2.Parallel and passes through (4,-6)
![m = \frac{5}{4} \\\\(4,-6)=(x_1,y_1)](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B5%7D%7B4%7D%20%5C%5C%5C%5C%284%2C-6%29%3D%28x_1%2Cy_1%29)
Substitute values into point slope form and simplify
![y-y_1=m(x-x_1)\\\\y - (-6) = \frac{5}{4} (x -4)\\\\y+6 = \frac{5}{4} x -5\\\\y = \frac{5}{4} x -5-6\\\\y = \frac{5}{4} x -11](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5C%5C%5Cy%20-%20%28-6%29%20%3D%20%5Cfrac%7B5%7D%7B4%7D%20%28x%20-4%29%5C%5C%5C%5Cy%2B6%20%3D%20%5Cfrac%7B5%7D%7B4%7D%20x%20-5%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B5%7D%7B4%7D%20x%20-5-6%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B5%7D%7B4%7D%20x%20-11)
Answer:
f(x)=x(x- a) (x - b) 2 that is the answer good luck
You can invite 2 people+ you so that would be 3 people.So 1 bevrage and one sandwitch each person and you have 10$ tip
Answer:
14.5 hope this helps!
Step-by-step explanation:
3 times 1.85 is 5.5
20.0 - 5.5= 14.5