Question 1127835: Consider two ships, one on a course described by the equation 0.6x+0.3y=2.1 and the other on a course described by the equation -0.3x+0.1y=-1.8. Which of the following sentences best describes the possibility of a collision?
A. There is a possibility of a collision at the point (5,-3) but a collision is not a certainty.
B. There is a possibility of a collision at the point (0,7) but a collision is not a certainty.
C. There will certainty be a collision at the point (6,0).
D. There is no possibility for a collision
Answer by ikleyn(52802)   (Show Source):
You can put this solution on YOUR website! .
HINT
1. Check if the given point is the solution to the system.
For it, simply substitute the coordinates of the given point into equations.
2. If the given point IS the intersection point of the lines, then potentially there is a possibility for a collision,
but it is not certain, because for the collision takes place, the ships should arrive to this point simultaneously,
which is not predefined by the condition.
3. If the given point is NOT the intersection point, then THERE IS NO possibility for the collision.
|
|
|
