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.
475 songs- 380 songs= 95 songs
95 songs/ 475 songs* 100%= 20%
The percent error is 20%~
Answer:
Answer is 28
Step-by-step explanation:
A negative time a negative is a positive and since 7 times 4 is 28 and both are negative it is 28
Grace will take the bird first drop it off go back get the birdseed go back to the bird drop birdseed grab bird go back drop bird pick up cat go to birdseed on the other side drop the cat go back again get the bird then bring it back
All in all she went 7 times
Answer:
detail in step by step
Step-by-step explanation:
Left: ΔABC ≅ ΔDEF
DF corresponding to AC DF = 3
∠B = ∠E = 28°
Middle: DF = AC = 5
∠B = ∠E = 100°
Right: ΔLMN ≅ ΔPQR
m∠P = m∠L = 105°
QR = MN = 11.6
m∠M = m∠Q = 45°
LN = PR = 8.5