use the distance formula and the Pythagorean Theort to find the distance, to the nearest tenth, from R(6,-5) to U(-2,6).
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R(6,-5), U(-2,6).
d^2 = (-2-6)^2 + (6-(-5))^2,
d^2 = 64 + 121 = 185,
d = 13.6.
To find the distance between two points using the distance formula, you can follow these steps:
Step 1: Identify the coordinates of the two points. In this case, the coordinates are:
Point R: (6, -5)
Point U: (-2, 6)
Step 2: Use the distance formula, which is √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points.
Step 3: Plug the values into the formula:
Distance = √((-2 - 6)^2 + (6 - (-5))^2)
Simplifying:
Distance = √((-8)^2 + (6 + 5)^2)
Distance = √(64 + 121)
Distance = √185
Step 4: Round the answer to the nearest tenth:
Distance ≈ √185 ≈ 13.6 (rounded to the nearest tenth)
Therefore, the distance from point R(6, -5) to point U(-2, 6) is approximately 13.6 units when rounded to the nearest tenth.