Answer:
I'm not entirely sure but I think that what is says is that it wants you to find the value of x in (4x+28) to make it 116 degrees because it is that same angle. So what you do is you get (4x+28)=116 and you do this because they are the same angle so you use 116 and get it to solve x. Since I'm lazy, then I go to this website and type the equation in: m a t h w a y . c o m but without all of the spaces, I had to do that so it would let me answer this, but I'll do it the real way this time. (4x+28)=116 Their is a rule in math that as long as you do something to one side of the equal sign in the equation, you have to do it to the other and it will still work. So, you minus 28 from both sides so that you can get rid of it and you now have 4x=88. Now you should know this part but you divide 4 from both sides to make so x is alone. Now you have x=22 because you divided 4 from each side. So their is your answer: x=22.
Step-by-step explanation: If you have the answer key that you can check from to make sure you got it right because I know some teachers let you do that, then you should make sure that is right, but I am pretty sure it is.
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:
Step-by-step explanation:
47= 3/44, so ratio is 3/44 for non-nuts muffins
Which mean, for every 44 muffins we would have 3 non-nuts muffins.
Answer:
3x +15 = 8x
5x = 15
x = 3
Step-by-step explanation:
Letting n approach infinity results in the undefined "infinity over infinity."
Differentiate numerator and denominator separately, obtaining
1/n
(limit as n approaches infinity of) ------------- = 0. Series is convergent.
2n
