Two cars started at the same position and were driven through a city using different streets. the red car traveled north 2 miles, then east 4 miles, and then south 6 miles. the green car traveled south 4 miles and then east 4 miles. both cars ended at the same location.

which best compares the motion of the cars?

the red car traveled a shorter distance, but the displacement of the cars was equal.
the green car traveled a shorter distance, but the displacement of the cars was equal.
the green car had a shorter displacement, but the distance traveled by the cars was equal.
the red car had a shorter displacement, but the distance traveled by the cars was equal.

Answer : The correct option is, The green car traveled a shorter distance, but the displacement of the cars was equal.

Step-by-step explanation :

Displacement : It is the change in the position of an object that means the minimum distance measuring from starting position to the final position. It is a scalar quantity.

Distance : It is the length of the space between the two points.  It is the length of the total route traveled by an object.

The distance traveled by red car = 2 + 4 + 6 = 12 miles

The distance traveled by green car = 4 + 6 = 8 miles

Displacement of red and green car =   (By Pythagoras theorem)

As per question, the red car traveled a greater distance and green car traveled a shorter distance but the displacement of the cars was equal.

Hence, correct option is, The green car traveled a shorter distance, but the displacement of the cars was equal.

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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