Speed = Distance/Time = 160/8 = 20 miles/hour
Answer:
Step-by-step explanation:
![\frac{10}{3} - \frac{1}{3} - \frac{29}{3} - ( - \frac{1}{3} ) \\ \\ = \frac{10}{3} - \frac{1}{3} - \frac{29}{3} + \frac{1}{3} \\ \\ = \frac{10}{3} - \frac{29}{3} - \frac{1}{3} + \frac{1}{3} \\ \\ = \frac{10 - 29}{3} \\ \\ = \frac{ - 19}{3} \\ \\ = - 6 \frac{1}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B10%7D%7B3%7D%20%20-%20%20%5Cfrac%7B1%7D%7B3%7D%20%20-%20%20%5Cfrac%7B29%7D%7B3%7D%20%20-%20%28%20-%20%20%5Cfrac%7B1%7D%7B3%7D%20%29%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B10%7D%7B3%7D%20%20-%20%20%5Cfrac%7B1%7D%7B3%7D%20%20-%20%20%5Cfrac%7B29%7D%7B3%7D%20%20%20%2B%20%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5C%5C%20%20%5C%5C%20%3D%20%20%5Cfrac%7B10%7D%7B3%7D%20%20%20-%20%20%5Cfrac%7B29%7D%7B3%7D%20%20-%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%2B%20%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5C%5C%20%20%5C%5C%20%3D%20%20%5Cfrac%7B10%20-%2029%7D%7B3%7D%20%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B%20-%2019%7D%7B3%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20-%206%20%5Cfrac%7B1%7D%7B3%7D%20)
Answer:
The equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given the line
3x - 4y = 7
writing in the slope-intercept form
4y = 3x - 7
dividing both sides by 4
4y/4 = 3/4x - 7/4
y = 3/4x - 7/4
Now, comparing with the slope-intercept form of the line equation
y = 3/4x - 7/4
The slope of the line m = 3/4
We know that parallel lines have the same slopes.
Therefore, the slope of the parallel line is: 3/4
now we have,
The point (-4, -2)
The slope m of parallel line = 3/4
Given the point-slope form of the line equation
where m is the slope of the line and (x₁, y₁) is the point
substituting (-4, -2) and m = 3/4 in the point-slope form of line equation
![\:y-\left(-2\right)=\frac{3}{4}\left(x-\left(-4\right)\right)](https://tex.z-dn.net/?f=%5C%3Ay-%5Cleft%28-2%5Cright%29%3D%5Cfrac%7B3%7D%7B4%7D%5Cleft%28x-%5Cleft%28-4%5Cright%29%5Cright%29)
![y+2=\frac{3}{4}\left(x+4\right)](https://tex.z-dn.net/?f=y%2B2%3D%5Cfrac%7B3%7D%7B4%7D%5Cleft%28x%2B4%5Cright%29)
Thus, the equation in the point-slope form of the line equation is:
![y+2=\frac{3}{4}\left(x+4\right)](https://tex.z-dn.net/?f=y%2B2%3D%5Cfrac%7B3%7D%7B4%7D%5Cleft%28x%2B4%5Cright%29)
Simplifying the equation
![y+2=\frac{3}{4}\left(x+4\right)](https://tex.z-dn.net/?f=y%2B2%3D%5Cfrac%7B3%7D%7B4%7D%5Cleft%28x%2B4%5Cright%29)
Subtract 3 from both sides
![y+2-2=\frac{3}{4}\left(x+4\right)-2](https://tex.z-dn.net/?f=y%2B2-2%3D%5Cfrac%7B3%7D%7B4%7D%5Cleft%28x%2B4%5Cright%29-2)
![y=\frac{3}{4}x+1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B4%7Dx%2B1)
Multiplying the equation by 4
![4y = 3x + 4](https://tex.z-dn.net/?f=4y%20%3D%203x%20%2B%204)
![3x - 4y = -4](https://tex.z-dn.net/?f=3x%20-%204y%20%3D%20-4)
Therefore, the equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:
The equations are 30+2x and 16+5x. i plug random numbers into x until you fint the correct answer. the answer is 5.