Answer:
k = -9.
Step-by-step explanation:
As the triangle is right-angled at Q, by Pythagoras:
PR^2 = PQ^2 + RQ^2
So, substituting the given data and using the distance formula between 2 points:
(7 - 1)^2 + (k - 4)^2 = (-4-4)^2 + (-3-1)^2 + (7 - (-3))^2 + (k - (-4))^2
36 + (k - 4)^2 = 64 + 16 + 100 + ( k + 4)^2
(k - 4)^2 - (k + 4)^2 = 180 - 36
k^2 - 8k + 16 - (k^2 + 8k + 16) = 144
-16k = 144
k = -9.
Answer:
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Step-by-step explanation:
Answer:
Velocity = displacement / time
Distance = 3t^2 +2t +6 to find distance you need to plug in time = 2 sec
Distance = 3(2)^2 +2(2) +6
Distance = 3(4) +4 + 6
Distance = 12 + 4 +6
Distance = 22 meters
In this problem the displacement is the distance.
so
Velocity = 22 meters / 2 second
Velocity = 11 meters/second
Does this help?
Step-by-step explanation:
Answer:
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