Answer:
843 days
Step-by-step explanation:
Answer:
15/4
Step-by-step explanation:
Answer:
diagram
Step-by-step explanation:
after that is provided answer will be in ch.ats
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following equation:
![y = -7x + 6](https://tex.z-dn.net/?f=y%20%3D%20-7x%20%2B%206)
With slope ![m_ {1} = - 7](https://tex.z-dn.net/?f=m_%20%7B1%7D%20%3D%20-%207)
By definition, if two lines are parallel then their slopes are equal. Thus, a parallel line will be of the form:
![y = -7x + b](https://tex.z-dn.net/?f=y%20%3D%20-7x%20%2B%20b)
We replace the point (5,5) through which the line passes and find "b":
![5 = -7 (5) + b\\5 = -35 + b\\5 + 35 = b\\b = 40](https://tex.z-dn.net/?f=5%20%3D%20-7%20%285%29%20%2B%20b%5C%5C5%20%3D%20-35%20%2B%20b%5C%5C5%20%2B%2035%20%3D%20b%5C%5Cb%20%3D%2040)
Finally, the equation is:
![y = -7x + 40](https://tex.z-dn.net/?f=y%20%3D%20-7x%20%2B%2040)
On the other hand, if two lines are perpendicular then the product of their slopes is -1. Thus, the slope of a perpendicular line will be:
![m_ {2} = \frac {-1} {m_ {1}} = \frac {-1} {- 7} = \frac {1} {7}](https://tex.z-dn.net/?f=m_%20%7B2%7D%20%3D%20%5Cfrac%20%7B-1%7D%20%7Bm_%20%7B1%7D%7D%20%3D%20%5Cfrac%20%7B-1%7D%20%7B-%207%7D%20%3D%20%5Cfrac%20%7B1%7D%20%7B7%7D)
Thus, the equation is of the form:
![y = \frac {1} {7} x + b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%20%7B1%7D%20%7B7%7D%20x%20%2B%20b)
We substitute the point (5, -5) through which the line passes and find "b":
![-5 = \frac {1} {7} (5) + b\\-5 = \frac {5} {7} + b\\-5- \frac {5} {7} = b\\b = \frac {-35-5} {7}\\b = \frac {-40} {7}\\b = - \frac {40} {7}\\](https://tex.z-dn.net/?f=-5%20%3D%20%5Cfrac%20%7B1%7D%20%7B7%7D%20%285%29%20%2B%20b%5C%5C-5%20%3D%20%5Cfrac%20%7B5%7D%20%7B7%7D%20%2B%20b%5C%5C-5-%20%5Cfrac%20%7B5%7D%20%7B7%7D%20%3D%20b%5C%5Cb%20%3D%20%5Cfrac%20%7B-35-5%7D%20%7B7%7D%5C%5Cb%20%3D%20%5Cfrac%20%7B-40%7D%20%7B7%7D%5C%5Cb%20%3D%20-%20%5Cfrac%20%7B40%7D%20%7B7%7D%5C%5C)
Finally, the equation is:
![y = \frac {1} {7} x- \frac {40} {7}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%20%7B1%7D%20%7B7%7D%20x-%20%5Cfrac%20%7B40%7D%20%7B7%7D)
Answer:![y = -7x + 40\\y = \frac {1} {7} x- \frac {40} {7}](https://tex.z-dn.net/?f=y%20%3D%20-7x%20%2B%2040%5C%5Cy%20%3D%20%5Cfrac%20%7B1%7D%20%7B7%7D%20x-%20%5Cfrac%20%7B40%7D%20%7B7%7D)
Answer: a. yes, one pair of opposite sides could measure 10in., and the other pair could measure 13 in.
Step-by-step explanation: i just took it