Question
(3, 2) 1 9 012 3 4 5 6 7 8 Apply the Pythagorean Theorem to find the length between the two points Round your answer to the nearest hundredth point )
Answers
GPT 3.5
To find the length between the two points (3, 2) and (1, 9), we can use the Pythagorean Theorem.
The formula for the distance between two points (x1, y1) and (x2, y2) on a coordinate plane is given by:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, we have:
x1 = 3, y1 = 2
x2 = 1, y2 = 9
Plugging these values into the formula, we get:
distance = sqrt((1 - 3)^2 + (9 - 2)^2)
distance = sqrt((-2)^2 + (7)^2)
distance = sqrt(4 + 49)
distance = sqrt(53)
Rounding the answer to the nearest hundredth, we get:
distance ā 7.28
Therefore, the length between the two points (3, 2) and (1, 9) is approximately 7.28 units.
The formula for the distance between two points (x1, y1) and (x2, y2) on a coordinate plane is given by:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, we have:
x1 = 3, y1 = 2
x2 = 1, y2 = 9
Plugging these values into the formula, we get:
distance = sqrt((1 - 3)^2 + (9 - 2)^2)
distance = sqrt((-2)^2 + (7)^2)
distance = sqrt(4 + 49)
distance = sqrt(53)
Rounding the answer to the nearest hundredth, we get:
distance ā 7.28
Therefore, the length between the two points (3, 2) and (1, 9) is approximately 7.28 units.