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Find the distance between points M (6, 16) and Z (-1, 14) to the nearest tenth.
To find the distance between two points, we can use the distance formula:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
In this case, point M has coordinates (6, 16) and point Z has coordinates (-1, 14).
Plugging in the values into the distance formula, we get:
Distance = √((-1 - 6)² + (14 - 16)²)
= √((-7)² + (-2)²)
= √(49 + 4)
= √53
To find the distance to the nearest tenth, we can calculate √53 ≈ 7.2801, rounded to the nearest tenth.
Therefore, the distance between points M (6, 16) and Z (-1, 14) to the nearest tenth is approximately 7.3 units.
To find the distance between two points M(6, 16) and Z(-1, 14), we can use the distance formula, which is derived from the Pythagorean theorem. The distance formula is given as:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Here, (x1, y1) represents the coordinates of M, and (x2, y2) represents the coordinates of Z.
Substituting the given values into the distance formula, we have:
Distance = √[(-1 - 6)^2 + (14 - 16)^2]
= √[-7^2 + (-2)^2]
= √[49 + 4]
= √53
≈ 7.3
Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.3 units to the nearest tenth.
To find the distance between two points (x₁, y₁) and (x₂, y₂), we can use the distance formula:
distance = √((x₂ - x₁)² + (y₂ - y₁)²)
Let's plug in the given values for M (6, 16) and Z (-1, 14) into the formula:
distance = √((-1 - 6)² + (14 - 16)²)
= √((-7)² + (-2)²)
= √(49 + 4)
= √53
To find the distance to the nearest tenth, we can approximate the square root of 53:
distance ≈ √53 ≈ 7.28
Therefore, the distance between points M (6, 16) and Z (-1, 14) is approximately 7.3 units to the nearest tenth.