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Find the distance between the points (19.9, 11.2) and (-13.2, -4). Round your answer to the nearest tenth.

A) 37.1 units
B) 33.8 units
C) 31.6 units
D) 28.3 units

Answer :

Final answer:

To find the distance between the points (19.9, 11.2) and (-13.2, -4), apply the distance formula. After calculations, the distance is approximately 36.4 units, which is not listed in the provided options.

Explanation:

Calculating the Distance Between Two Points

To find the distance between two points in a coordinate system, we use the distance formula which is derived from the Pythagorean theorem. The distance formula is:

Distance = √((x2 - x1)² + (y2 - y1)²)

Using this formula, let's calculate the distance between the points (19.9, 11.2) and (-13.2, -4).

  1. First, subtract the x-coordinates: 19.9 - (-13.2) = 19.9 + 13.2 = 33.1.
  2. Next, subtract the y-coordinates: 11.2 - (-4) = 11.2 + 4 = 15.2.
  3. Square each result: 33.1² = 1095.61 and 15.2² = 231.04.
  4. Add the squares: 1095.61 + 231.04 = 1326.65.
  5. Take the square root of the sum: √1326.65 ≈ 36.42.

After rounding to the nearest tenth, the distance is 36.4 units. The correct answer is not listed in the options provided.

Learn more about Distance Formula here:

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