Solve the system: -2x+2y=4 and x+y=6
2 answers:
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Answer:
The approximate speed of the robot during the 5 seconds is:
- <u>6 ft/s</u>
Step-by-step explanation:
To calculate the speed of the robot, you must begin with the positions, the first position (3, 18) and the second position (31, 6), you can see, in the height it moved from 3 to 31, it means 28 feet, in the width it moves from 18 to 6, it means 12 feet, with these data you can construct a triangle where you have the opposite leg and adjacent leg, now you must calculate the hypotenuse, because it is the linear path from the first position to the second position that the robot took, for this, you can use the Pythagoras theorem:
=
+
With the value of the distance traveled, and the time used (5 seconds), we can calculate the speed with the next formula:
-
- Speed = 6.09 ft/s
As you need the speed in the nearest whole number, then:
- <u>Speed = 6 ft/s</u>