Find the distance between each pair of points (-9, -1) and (2, 4). Round to the nearest tenth.
Question
Find the distance between each pair of points (-9, -1) and (2, 4).
Round to the nearest tenth.
Solution
To find the distance between two points in a plane, we can use the distance formula derived from the Pythagorean theorem, which is:
d = sqrt[(x2 - x1)² + (y2 - y1)²]
Here, the two points are (-9, -1) and (2, 4). So, x1 = -9, y1 = -1, x2 = 2, and y2 = 4.
Substitute these values into the formula:
d = sqrt[(2 - (-9))² + (4 - (-1))²] d = sqrt[(2 + 9)² + (4 + 1)²] d = sqrt[(11)² + (5)²] d = sqrt[(121) + (25)] d = sqrt[146]
The square root of 146 is approximately 12.083. If we round this to the nearest tenth, we get 12.1.
So, the distance between the points (-9, -1) and (2, 4) is approximately 12.1 units.
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