Mathematics, 04.04.2021 07:40 MayFlowers

I Have a problem, please see below: On the standard coordinate grid at minute 0
Ship 1 is at the position (0, 845),
Ship 2 is at the position (796, 0).
Ship 1 sails along the straight line to the position {1042, 0},
At the same time, ship 2 sails along the straight line to the position {0, 1091}
Both ships will reach their destinations in two hours (120 minutes).

a. Find the point of intersection of the paths of the ships.
b. At what time from the moment of departure (in minutes) each of the ships will pass the point of intersection of the paths.
c. At what time (in minutes after departure) the distance between Ship 1 and Ship 2 will be the shortest?
d. What is the shortest distance between Ship 1 and Ship 2? If the shortest distance is equal 0, it means that the two ships collide.
e. What will be the positions of both ships at the moment when the distance between them is the shortest?

We have calculated that
a. They will intersect at (439.551, 488.551)
b. Ship 1 will pass intersection at 50.620 minutes
Ship 2 will pass intersection at 53.736 minutes

Unfortunately, we are stuck on parts c, d, and e

Answers: 2

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Answer from: Svetakotok

the standard coordinate grid at minute 0

Ship 1 is at the position (0, 845),

Ship 2 is at the position (796, 0).

Ship 1 sails along the straight line to the position {1042, 0},

At the same time, ship 2 sails along the straight line to the position {0, 1091}

Both ships will reach their destinations in two hours (120 minutes).

a. Find the point of intersection of the paths of the ships.

b. At what time from the moment of departure (in minutes) each of the ships will pass the point of intersection of the paths.

c. At what time (in minutes after departure) the distance between Ship 1 and Ship 2 will be the shortest?

d. What is the shortest distance between Ship 1 and Ship 2? If the shortest distance is equal 0, it means that the two ships collide.

e. What will be the positions of both ships at the moment when the distance between them is the shortest?

We have calculated that

a. They will intersect at (439.551, 488.551)

b. Ship 1 will pass intersection at 50.620 minutes

Ship 2 will pass intersection at 53.736 minutes

Unfortunately, we are stuck on parts c,

Answer from: Quest

answer: the answer is ann

Answer from: Quest

First, think of what you know. you know that the number t the end of the equation will need to be subtracted because it is the money he lost from buying the lawn mower. and your first two weeks have negative profit, so that tells you that c and d are wrong. now you can plug any of the weeks into a and b to see which one works. i'll start with plugging week 1 into a. $y = 60(1) - 90 \\ y = 60 - 90 \\ y = - 30$ this isn't right because it says your answer for week one should be -90.so now we need to try the same thing with b. $y = 60(1) - 150 \\ y = 60 - 150 \\ y = - 90$ this one got you the right answer, (sometimes if you only check with one of the weeks multiple will work so you need to check with more of the weeks, but it worked out fine here)this means that b is the correct answer.let me know if you need more clarification. i hope this : )

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I Have a problem, please see below: On the standard coordinate grid at minute 0
Ship 1 is at...