If (x-3) ²=16, find the positive value of x.
1 answer:
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Answer:
<em>Both objects collide at t=3 in the point <9,9,9></em>
Step-by-step explanation:
<em>Collision Of Moving Objects </em>
Two objects can describe different trajectories in the space. Those trajectories can intersect in one or more points but it doesn't mean they collide. Collision occurs if they are in the same position at the same time. If we know the positions as a function of time of each object, we could try so find if, for a given time, they are in the same position.
The positions of two object are given as
Let's find out if there is at least one value of t that makes both positions to be the same. We can try by equating one of the three coordinates and testing if the value of t make both have the same x,y,z coordinate. Let's try equating the x-components of both
Rearranging
Factoring
We found two solutions
for t=1 the x-coordinates are
For t=3
Now we'll test both values in the y-coordinates
For t=1
Thus they don't collide at t=1. Let's try t=3
Now let's try the z-coordinate for t=3
Since the three coordinates match, we can say both objects collide at t=3 in the point <9,9,9>
Answer:
The height of the second prism is 12 units.
Step-by-step explanation:
First, we must know that the volume of a rectangular prism is equal to length x width x height. With this information, we can multiply the given dimensions of the first rectangular prism to get a volume of 2700 cubic units. From here, we must understand wha we need from the second rectangular prism. Because it has a square base of 15, that accounts for both its width and length. Therefore, we have that