Madison competes in a robotics challenge. For one task, she programs her robot to move to locations on a grid. The robot picks up a ball at point A(-6,3) and moves it first to point B(-6,-4) and then to point C(-2,-4) along straight paths. Each unit on the grid represents 1ft. What is the total distance Madison's robot moves with the ball?

Question

Madison competes in a robotics challenge. For one task, she programs her robot to move to locations on a grid. The robot picks up a ball at point A(-6,3) and moves it first to point  B(-6,-4) and then to point C(-2,-4) along straight paths. Each unit on the grid represents  1ft. What is the total distance Madison's robot moves with the ball?

Bytelearn · Accepted Answer

Calculate Distance A to B: Calculate the distance from point A to point B. Since points A and B have the same x-coordinate (-6), the robot moves vertically from A to B. The distance between two points with the same x-coordinate is the absolute difference between their y-coordinates. Distance from A to B = |y-coordinate of A - y-coordinate of B| = |3 - (-4)| = |3 + 4| = 7 ftCalculate Distance B to C: Calculate the distance from point B to point C. Since points B and C have the same y-coordinate (-4), the robot moves horizontally from B to C. The distance between two points with the same y-coordinate is the absolute difference between their x-coordinates. Distance from B to C = |x-coordinate of B - x-coordinate of C| = |-6 - (-2)| = |-6 + 2| = 4 ftFind Total Distance: Add the distances from Step 1 and Step 2 to find the total distance the robot moves. Total distance = Distance from A to B + Distance from B to C = 7 ft + 4 ft = 11 ft

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