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Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. You have the following function:

2. You can rewrite it as following:

3. The line intersects the y-axis when
, therefore:

4. The line intersects the x-axis when
:

5. Now plot the points (0, 0.5) and (1,0) in a graph , as you can see in the figure attached.
Therefore, the answer is: The points of intersection are (0, 0.5) and (1,0).
Answer:
- boat: 6 mph
- current: 2 mph
Step-by-step explanation:
The relationship between time, speed, and distance is ...
speed = distance/time
For boat speed b and current speed c, the speed downstream is ...
b +c = (16 mi)/(2 h) = 8 mi/h
The speed upstream is ...
b -c = (16 mi)/(4 h) = 4 mi/h
Adding the two equations eliminates the c term:
2b = 12 mi/h
b = 6 mi/h . . . . . divide by 2
Solving the second equation for c, we get ...
c = b -4 mi/h = 6 mi/h -4 mi/h = 2 mi/h
The speed of the boat in still water is 6 mi/h; the current is 2 mi/h.
Answer:

Step-by-step explanation:

![Hence,\\As\ Angle\ A\ and\ Angle\ B\ are\ co-interior\ angles, if\ they\ are\\ supplementary\ then\ AD \parallel BC.\ Lets\ check\ that\ out.\\Hence,\\Angle\ A=2x=2*15=30\\Angle\ B=90\ [Given]\\Hence,\\As\ 90+30\neq 180,\\Angle\ A +Angle\ B\neq 180\\Hence,\\As\ Angle\ A and\ Angle\ B\ are\ not\ supplementary, AD\ will\ not\ be\ parallel\ to\ CB.](https://tex.z-dn.net/?f=Hence%2C%5C%5CAs%5C%20Angle%5C%20A%5C%20and%5C%20Angle%5C%20B%5C%20are%5C%20co-interior%5C%20angles%2C%20if%5C%20they%5C%20are%5C%5C%20supplementary%5C%20then%5C%20AD%20%5Cparallel%20BC.%5C%20Lets%5C%20check%5C%20that%5C%20out.%5C%5CHence%2C%5C%5CAngle%5C%20A%3D2x%3D2%2A15%3D30%5C%5CAngle%5C%20B%3D90%5C%20%5BGiven%5D%5C%5CHence%2C%5C%5CAs%5C%2090%2B30%5Cneq%20180%2C%5C%5CAngle%5C%20A%20%2BAngle%5C%20B%5Cneq%20180%5C%5CHence%2C%5C%5CAs%5C%20Angle%5C%20A%20and%5C%20Angle%5C%20B%5C%20are%5C%20not%5C%20supplementary%2C%20%20AD%5C%20will%5C%20not%5C%20be%5C%20parallel%5C%20to%5C%20CB.)
The triangles are not the same size so a dilation made the original one smaller and a translation moved it to map ABC to A'B'C'.