The distance between two points (x1, y1) and (x2, y2) can be found using the Pythagorean Theorem, which is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Given the points:
Point 1: (7, 8)
Point 2: (3, 2)
Substituting the values into the formula, we have:
d = √((3 - 7)^2 + (2 - 8)^2)
= √((-4)^2 + (-6)^2)
= √(16 + 36)
= √52
≈ 7.21
After rounding to the nearest hundredth, the length between the two points is approximately 7.21.
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth. (1 point)
(7,8)
(3,2)
3 answers
what if the distance between them is (4,6)
If the distance between the two points is given as (4, 6), then the given values (7,8) and (3,2) cannot represent the length between them, as they are two different points.
To find the distance between the points (4, 6) and (7, 8), we can use the Pythagorean Theorem:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Given the points:
Point 1: (4, 6)
Point 2: (7, 8)
Substituting the values into the formula, we have:
d = √((7 - 4)^2 + (8 - 6)^2)
= √(3^2 + 2^2)
= √(9 + 4)
= √13
≈ 3.61
Rounding to the nearest hundredth, the length between the points (4, 6) and (7, 8) is approximately 3.61.
To find the distance between the points (4, 6) and (7, 8), we can use the Pythagorean Theorem:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Given the points:
Point 1: (4, 6)
Point 2: (7, 8)
Substituting the values into the formula, we have:
d = √((7 - 4)^2 + (8 - 6)^2)
= √(3^2 + 2^2)
= √(9 + 4)
= √13
≈ 3.61
Rounding to the nearest hundredth, the length between the points (4, 6) and (7, 8) is approximately 3.61.