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:
39
Step-by-step explanation:
284-5(7)²
284-(5×49)
284-245
39
The graph represented in the figure shows a set of linear equations each of which is represented a straight line.
Step-by-step explanation:
System of Equation can be referred to as an assortment of equations to be dealt with. Common examples include linear equations and non-linear equations such as a parabola, hyperbola etc.
Linear set of equations are the most simple of equation depicting a linear relationship between two variables.
E.g. Y=4x+3
here y and x share a linear relationship which is defined by the straight-line graph "4x+3"
Similarly in the graph lines, two straight lines are depicted which symbolises that the et of the equation is linear in character.
Answer:
85
Step-by-step explanation:
Place the 9 in for X and 9 to the second power is 81. Then add 4...85.
D is not in correct scientific notation. To be correct, the answer would be 5.0 x 10^2
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