Arobot is at position A(30,40) and is heading toward the point B (1000, 1000) along a straight line at a constant speed. The robot will reach point B in 10 hours.

What is the location of the robot at the end of the fourth hour?

(418, 424)

Step-by-step explanation:

Arobot travels at constant speed. The total trip takes 10 hours. We want to know its position is 4 hours. The fraction of the path it will travel in 4 hours is 4/10 of the entire path. We need to find what point is 4/10 of the way from point A to point B.

For each coordinate, we find 4/10 of the difference between point A and B, and we add it tot eh coordinate of point A.

x-coordinate:

difference in x-coordinates: 1000 - 30 = 970

4/10 * 970 = 388

30 + 388 = 418

The x-coordinate is 418

y-coordinate:

difference in x-coordinates: 1000 - 40 = 960

4/10 * 960 = 384

40 + 384 = 424

The x-coordinate is 424

(418, 424)

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.