recall d = rt, distance = rate * time.
let's say airplane A is going at a rate of "r", therefore airplane B is moving faster, at a rate of "r + 80".
now, after 3 hours, both planes have been travelling for 3 hours each, and say if A has covered "d" miles, then B has covered the slack of 2490 - d.
![\bf \leftarrow \underset{A}{\stackrel{r}{\rule[0.22em]{8em}{0.25pt}}}dallas\underset{B}{\stackrel{r+80}{\rule[0.22em]{18em}{0.25pt}}}\to \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ plane~A&d&r&3\\ plane~B&2490-d&r+80&3 \end{array}](https://tex.z-dn.net/?f=%5Cbf%20%5Cleftarrow%20%5Cunderset%7BA%7D%7B%5Cstackrel%7Br%7D%7B%5Crule%5B0.22em%5D%7B8em%7D%7B0.25pt%7D%7D%7Ddallas%5Cunderset%7BB%7D%7B%5Cstackrel%7Br%2B80%7D%7B%5Crule%5B0.22em%5D%7B18em%7D%7B0.25pt%7D%7D%7D%5Cto%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7Blcccl%7D%20%26%5Cstackrel%7Bmiles%7D%7Bdistance%7D%26%5Cstackrel%7Bmph%7D%7Brate%7D%26%5Cstackrel%7Bhours%7D%7Btime%7D%5C%5C%20%5Ccline%7B2-4%7D%26%5C%5C%20plane~A%26d%26r%263%5C%5C%20plane~B%262490-d%26r%2B80%263%20%5Cend%7Barray%7D)
![\bf \begin{cases} \boxed{d}=3r\\ 2490-d=(r+80)(3) \end{cases} \\\\\\ 2490-\boxed{3r}=3r+240\implies 2250=6r\implies \cfrac{2250}{6}=r\implies \stackrel{A}{375}=r \\\\\\ \stackrel{B}{375+80\implies 455}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%20%5Cboxed%7Bd%7D%3D3r%5C%5C%202490-d%3D%28r%2B80%29%283%29%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%202490-%5Cboxed%7B3r%7D%3D3r%2B240%5Cimplies%202250%3D6r%5Cimplies%20%5Ccfrac%7B2250%7D%7B6%7D%3Dr%5Cimplies%20%5Cstackrel%7BA%7D%7B375%7D%3Dr%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7BB%7D%7B375%2B80%5Cimplies%20455%7D)
Answer:
B,C, and E
Step-by-step explanation:
just do the math...
Answer:
Reflection across the Y axis
Step-by-step explanation:
If you plot each point of the triangle in its before and after positions you are able to see that the triangle's original shape was reflected across the Y axis to reach its end form.
Think about a rubik's cube rolling if you are struggling with reflections.
Answer:
9
Step-by-step explanation:
15+4=19 19-10=9
Answer:
3/32
Step-by-step explanation:
The slope is found by
m = ( y2-y1)/(x2-x1)
= ( 19-22)/(-20-12)
= -3/-32
= 3/32