High School

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ 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:

https://brainly.com/question/25841655

#SPJ11