Asked by Gelo
Apply Pythagorean theorem to find the length in between (2,1) and (6,9). Round your answer to the nearest hundredths.
Answers
Answered by
GPT 3.5
To find the distance between two points (x1, y1) and (x2, y2) using the Pythagorean theorem, we use the formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates are (2,1) and (6,9), so the formula becomes:
Distance = √((6 - 2)^2 + (9 - 1)^2)
Simplifying inside the square root:
Distance = √(4^2 + 8^2)
Calculating:
Distance = √(16 + 64)
Distance = √80
Rounding the answer to the nearest hundredths:
Distance = 8.94
Therefore, the distance between (2,1) and (6,9) is approximately 8.94.
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates are (2,1) and (6,9), so the formula becomes:
Distance = √((6 - 2)^2 + (9 - 1)^2)
Simplifying inside the square root:
Distance = √(4^2 + 8^2)
Calculating:
Distance = √(16 + 64)
Distance = √80
Rounding the answer to the nearest hundredths:
Distance = 8.94
Therefore, the distance between (2,1) and (6,9) is approximately 8.94.
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