Answer:
7892 = 7900
472 = 500
Step-by-step explanation:
Part A
The given line passes through (-2,2) and it is parallel to the line
![4x - 3y - 7 = 0](https://tex.z-dn.net/?f=4x%20-%203y%20-%207%20%3D%200)
We need to determine the slope of this line by writing it in slope -intercept form.
![3y = 4x - 7](https://tex.z-dn.net/?f=3y%20%3D%204x%20-%207)
![y = \frac{4}{3} x - \frac{7}{3}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%20x%20-%20%20%5Cfrac%7B7%7D%7B3%7D%20)
The slope of this line is
![\frac{4}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20)
The line parallel to this line also has slope
![m = \frac{4}{3}](https://tex.z-dn.net/?f=%20m%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%20)
The equation is
![y = \frac{4}{3} x + c](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%20x%20%2B%20c)
We substitute (-2,2)
![2 = \frac{4}{3}( - 2) + c](https://tex.z-dn.net/?f=2%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%28%20-%202%29%20%20%2B%20c)
![c = 2 + \frac{8}{3} = \frac{14}{3}](https://tex.z-dn.net/?f=c%20%3D%202%20%2B%20%5Cfrac%7B8%7D%7B3%7D%20%20%3D%20%20%5Cfrac%7B14%7D%7B3%7D%20)
The required equation is
![y = \frac{4}{3} x + \frac{14}{3}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%20x%20%2B%20%5Cfrac%7B14%7D%7B3%7D%20)
PART B
The given line is
![4x - 3y - 7 = 0](https://tex.z-dn.net/?f=4x%20-%203y%20-%207%20%3D%200)
The slope of this line is
![\frac{4}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20)
The slope of the line perpendicular to it is
![m = - \frac{3}{4}](https://tex.z-dn.net/?f=%20m%20%3D%20-%20%20%5Cfrac%7B3%7D%7B4%7D%20)
The equation of the line is
![y = - \frac{ 3}{4} x + c](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B%203%7D%7B4%7D%20x%20%2B%20c)
We substitute the point, (-2,2)
![2= - \frac{ 3}{4} ( - 2) + c](https://tex.z-dn.net/?f=2%3D%20%20-%20%20%5Cfrac%7B%203%7D%7B4%7D%20%28%20-%202%29%20%2B%20c)
![2= \frac{ 3}{2} + c](https://tex.z-dn.net/?f=2%3D%20%20%5Cfrac%7B%203%7D%7B2%7D%20%20%2B%20c)
![c = 2 - \frac{3}{2} = \frac{1}{2}](https://tex.z-dn.net/?f=c%20%3D%202%20-%20%20%5Cfrac%7B3%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20)
The equation of the perpendicular line is
Answer:
90 and 10
Step-by-step explanation:
90 + 10 = 100
90 - 10 = 80
Answer:
81.37
Step-by-step explanation:
100 - 18.63 = 81.37
Answer:
a) a = 12s
Step-by-step explaination: