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)
![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)
![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)
![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).
Answer:
29/100
Step-by-step explanation:
percent actually means per-hundred (cent is a.o. French for hundred).
Answer:
x= -1, y = 6, z = 3
Step-by-step explanation:
let me solve it with Gaussian Elimination
Answer:
- <em>Mode is 0</em>
- <em>Median is 1 </em>
- <em>Mean is 2.625</em>
Step-by-step explanation:
- <em>To find the mode, or modal value, it is best to put the numbers in order. A number that appears most often is the mode.</em>
- <em>0, 0, 0, 1, 2, 4, 7, 7 = mode is 0</em>
<em></em>
- <em>To find the Median, place the numbers in value order and find the middle number.</em>
- <em>0 , 0 , 0 , 1 , 2 , 4 , 7 , 7 = median is 1</em>
<em></em>
- <em>The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are.</em>
- <em>0 + 0 + 0 + 1 + 2 + 4 + 7 + 7 / 8 = mean is 2.625</em>
Answer:
14400
Step-by-step explanation:
X - X × 75%=3600
X - X × 
= 3600
X - 
= 3600
= 3600
= 3600
X = 3600 × 4
X = 14400
