Answer:
number 2
Step-by-step explanation:
3*7*6=126
4*3*10=120
126-120=6
Answer:
Step-by-step explanation:
The answer should be 95000.
Answer:
x(2x-5)(x+1)
Step-by-step explanation:
1. First factor out the x of all the numbers to get x( 2x^2 -3x -5)
2. To factor, I used cross multiplying- (Sorry but I don't know how to explain it)
3. You're done!
(Sorry if it isn't amazing)
Answer:
t = {5}
Step-by-step explanation:
The trajectories intersect at exactly one time, t=5. The point of collision is ...
r1(5) = r2(5) = (25, 25, 25)
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The particles collide when the difference between the coordinates of one of them and the coordinates of the other one is zero. That is, ...
r1(t) - r2(t) = 0
(t^2, 6t -5, t^2) - (9t -20, t^2, 11t -30) = 0
This resolves to three (3) quadratic equations:
- t^2 -9t +20 = 0 . . . . (t -4)(t -5) = 0
- -5 +6t -t^2 = 0 . . . . . -(t -1)(t -5) = 0
- t^2 -11t +30 = 0 . . . . (t -5)(t -6) = 0
These have a common factor of t-5, so will all be zero when t=5.
The particles collide only at t = 5.