Answer: ![y=\frac{1}{4}x+\frac{33}{4}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7Dx%2B%5Cfrac%7B33%7D%7B4%7D)
Step-by-step explanation:
1. By definition, two slopes are perpendicular if their slopes are negative reciprocals of each other. So, let's find the slope of the other line.
2. The equation given in the problem is written in Point-slope form:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Where m is the slope.
3. Therefore, the slope of its perpendicular line must be:
![m=\frac{1}{4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B4%7D)
4. You have the point (-5,7), so you can substitute it into the point-slope formula to find the equation of the new line:
![y-7=\frac{1}{4}(x+5)](https://tex.z-dn.net/?f=y-7%3D%5Cfrac%7B1%7D%7B4%7D%28x%2B5%29)
5. In slope intercept form is:
![y=\frac{1}{4}x+\frac{5}{4}+7\\y=\frac{1}{4}x+\frac{33}{4}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7Dx%2B%5Cfrac%7B5%7D%7B4%7D%2B7%5C%5Cy%3D%5Cfrac%7B1%7D%7B4%7Dx%2B%5Cfrac%7B33%7D%7B4%7D)
Distance from home to store = 4 * 0.5 = 2 miles.
Time taken to return home = (2/12) * 60 =10 minutes.
Total distance traveled = 2 * 2 = 4 miles.
Total time taken = 30 + 10 = 40 minutes.
Average speed for entire trip = total distance / total time in hours.
Answer:
Try the won which is 0.10
Step-by-step explanation:
Answer:
68 hours
Step-by-step explanation:
Going by the time frame and date attached to this question, if school holidays should begin by Saturday 9 am, then from 1pm today we are 68 hours away from holiday.