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Aadya and Ethan like playing with remote control cars. They use a rectangular coordinate system in the play area. Aadya puts her car on A (2,3) and Ethan puts his car on B (9,12). Then the children drive the cars toward each other until the collide. What is the sum of the coordinates of the point on which the cars collide if they drive at the same speed?

Sagot :

abidemiokin

The sum of the coordinates of the point on which the cars collide if they drive at the same speed is 13 units

How to find the sum of coordinate point

Given the coordinate that Aadya puts her car to be A (2,3) and that of Ethan to be at B(9, 12)

Calculate the midpoint of the coordinates

Midpoint = A + B

M = (2, 3) + (9 + 12)

M = (2+9/2, 3+ 12/2)

Midpoint = (11/2, 15/2)

Midpoint = (5.5, 7.5)

Take the sum of the coordinate

Sum = 5.5 + 7.5

Sum = 13.0

Hence the sum of the coordinates of the point on which the cars collide if they drive at the same speed is 13 units

Learn more on coordinate point here: https://brainly.com/question/24205483

sqdancefan

Answer:

  13

Step-by-step explanation:

If the cars drive toward each other at the same speed, they will collide at the midpoint of the segment between the starting points. That midpoint (M) is ...

  M = (A +B)/2

  M + ((2, 3) +(9, 12))/2 = (2+9, 3+12)/2 = (11, 15)/2 = (5.5, 7.5)

The sum of the coordinates of this collision point is ...

  sum = 5.5 +7.5 = 13

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