You and your friend walk to school together every day. You meet at the halfway point between your houses first and then walk to school. Each unit in the coordinate plane corresponds to 50 yards. A) What are the coordinates of the midpoint of the line segment joining the two houses? B) What is the distance that the two of you walk together?
Please show the steps
Answers
Answer:
no se
Step-by-step explanation:
The coordinate of the midpoint joining the two houses, since each unit on the coordinate is 50 units is (150, 250) and the distance walked to school is 254.95 yards
From the graph given :
The x - coordinate of the midpoint is 3 units from the origin = (3 × 50) = 150 yards
The y-coordinate of the midpoint is 5 units from the origin = (5 × 50) = 250 yards
Hence, the coordinate of the midpoint is (150, 250)
The distance walked to school :
Distance = √(y2 - y1)² + (x2 - x1)²
Distance = √(400 - 150)² + (300 - 250)²
Distance = √250² + 50²
Distance = 254.95 yards
Therefore, the distance the boys walk to school is 254.95 yards.
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