Answer:a equation 11-4=x solution x=7. b equation 9+5=x solution x=14. C equation 7+7=x solution x=14. D equation 2+9=x solution x=11
Step-by-step explanation:yw;)
The equation will be m=21
Let n = the hours elapsed when the two trains are 660 miles apart.
Let the first train travel east and the second train travel west.
The distance traveled by the first train is
x = (50 mi/h)*(n h) = 50n mi
The distance traveled by the second train is
y = (60 mi/h)*(n h) = 60n h
The distance between the two trains after n hours is
x + y = 50 n + 60n = 110n mi
Because this distance is 660 miles, therefore
110n = 660
n = 6 hours
Answer: 6 hours
I hope this helps. Sorry it took so long
6(x+4)+1
6x+24+1
6x+25
5+8(3+x)
5+24+8x
29+8x
8x+29
Answer:
![D'(2,1)](https://tex.z-dn.net/?f=D%27%282%2C1%29)
Step-by-step explanation:
The given parallelogram has coordinates A(1, 1), B(5, 4), C(7, 1), and D(3, -2).
The rotation of
about the origin has the mapping;
![P(x,y)\rightarrow P'(-x,-y)](https://tex.z-dn.net/?f=P%28x%2Cy%29%5Crightarrow%20P%27%28-x%2C-y%29)
This implies that;
![A(1,1)\rightarrow (-1,-1)](https://tex.z-dn.net/?f=A%281%2C1%29%5Crightarrow%20%28-1%2C-1%29)
![B(5,4)\rightarrow (-5,-4)](https://tex.z-dn.net/?f=B%285%2C4%29%5Crightarrow%20%28-5%2C-4%29)
![C(7,1)\rightarrow (-7,-1)](https://tex.z-dn.net/?f=C%287%2C1%29%5Crightarrow%20%28-7%2C-1%29)
![D(3,-2)\rightarrow (-3,2)](https://tex.z-dn.net/?f=D%283%2C-2%29%5Crightarrow%20%28-3%2C2%29)
A translation of 5 units to the right and 1 unit down has the mapping;
![P(x,y)\rightarrow P'(x+5,y-1)](https://tex.z-dn.net/?f=P%28x%2Cy%29%5Crightarrow%20P%27%28x%2B5%2Cy-1%29)
We apply this to the resulting coordinates to obtain;
![A(1,1)\rightarrow (-1,-1) \rightarrow (-1+5,-1-1)=A'(4,-2)](https://tex.z-dn.net/?f=A%281%2C1%29%5Crightarrow%20%28-1%2C-1%29%20%5Crightarrow%20%28-1%2B5%2C-1-1%29%3DA%27%284%2C-2%29)
![B(5,4)\rightarrow (-5,-1) \rightarrow (-5+5,-4-1)=B'(0,-5)](https://tex.z-dn.net/?f=B%285%2C4%29%5Crightarrow%20%28-5%2C-1%29%20%5Crightarrow%20%28-5%2B5%2C-4-1%29%3DB%27%280%2C-5%29)
![C(7,1)\rightarrow (-7,-1)\rightarrow (-7+5,-1-1)=C'(-2,-2)](https://tex.z-dn.net/?f=C%287%2C1%29%5Crightarrow%20%28-7%2C-1%29%5Crightarrow%20%28-7%2B5%2C-1-1%29%3DC%27%28-2%2C-2%29)
![D(3,-2)\rightarrow (-3,2)\rightarrow (-3+5,2-1)=D'(2,1)](https://tex.z-dn.net/?f=D%283%2C-2%29%5Crightarrow%20%28-3%2C2%29%5Crightarrow%20%28-3%2B5%2C2-1%29%3DD%27%282%2C1%29)