Answer:
a. Emily should begin her turn as the third driver at point (1, -0.5).
b. Emily's turn to drive end at point (-2.5, -3.75).
Step-by-step explanation:
Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:
Hometown

San Antonio

Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:
Steph
![S(x,y) = H(x,y) + \frac{1}{4}\cdot [T(x,y)-H(x,y)]](https://tex.z-dn.net/?f=S%28x%2Cy%29%20%3D%20H%28x%2Cy%29%20%2B%20%5Cfrac%7B1%7D%7B4%7D%5Ccdot%20%5BT%28x%2Cy%29-H%28x%2Cy%29%5D) (1)
 (1)
![S(x,y) = (8,6) + \frac{1}{4}\cdot [(-6,-7)-(8,6)]](https://tex.z-dn.net/?f=S%28x%2Cy%29%20%3D%20%288%2C6%29%20%2B%20%5Cfrac%7B1%7D%7B4%7D%5Ccdot%20%5B%28-6%2C-7%29-%288%2C6%29%5D)


Andra
![A(x,y) = H(x,y) + \frac{2}{4}\cdot [T(x,y)-H(x,y)]](https://tex.z-dn.net/?f=A%28x%2Cy%29%20%3D%20H%28x%2Cy%29%20%2B%20%5Cfrac%7B2%7D%7B4%7D%5Ccdot%20%5BT%28x%2Cy%29-H%28x%2Cy%29%5D) (2)
 (2)
![A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)]](https://tex.z-dn.net/?f=A%28x%2Cy%29%20%3D%20%288%2C6%29%20%2B%20%5Cfrac%7B2%7D%7B4%7D%5Ccdot%20%5B%28-6%2C-7%29-%288%2C6%29%5D)


Emily
![E(x,y) = H(x,y) + \frac{3}{4}\cdot [T(x,y)-H(x,y)]](https://tex.z-dn.net/?f=E%28x%2Cy%29%20%3D%20H%28x%2Cy%29%20%2B%20%5Cfrac%7B3%7D%7B4%7D%5Ccdot%20%5BT%28x%2Cy%29-H%28x%2Cy%29%5D) (3)
 (3)
![E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)]](https://tex.z-dn.net/?f=E%28x%2Cy%29%20%3D%20%288%2C6%29%20%2B%20%5Cfrac%7B3%7D%7B4%7D%5Ccdot%20%5B%28-6%2C-7%29-%288%2C6%29%5D)


a. <em>If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver? </em>
Emily's beginning point is the Andra's stop point, that is,  .
.
Emily should begin her turn as the third driver at point (1, -0.5).
b. <em>At what point does Emily's turn to drive end?</em>
Emily's turn to drive end at point (-2.5, -3.75).
 
        
             
        
        
        
Divide both sides by 5, and the result is: x=30. 
X is 30.
        
             
        
        
        
Answer:your answer is x/8=15 
Step-by-step explanation:
I got it wrong and it showed this one is right 
 
        
             
        
        
        
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) we have
 ----> equation A
 ----> equation A
 ----> equation B
 ----> equation B
substitute equation B in equation A

Applying property of exponents



therefore

Part 2) we have
 ----> equation A
 ----> equation A
 ----> equation B
 ----> equation B
substitute equation B in equation A

Applying property of exponents



simplify

therefore

 
        
             
        
        
        
Answer:
c
Step-by-step explanation: