Question

Determine the distance between the two points (3,0) and (10,24).

Answer 1

The distance between the two points (3,0) and (10,24) is calculated using the Pythagorean theorem, and the result is 25 units.

Step-by-step explanation:

To determine the distance between two points on a coordinate plane, we can use the Pythagorean theorem. The given points are (3,0) and (10,24). We calculate the distance using the formula √((x2-x1)² + (y2-y1)²), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Let's apply this formula:

• First, calculate the horizontal difference: x2 - x1 = 10 - 3 = 7.
• Then, calculate the vertical difference: y2 - y1 = 24 - 0 = 24.
• Now, apply these differences to the formula: √((7)² + (24)²) = √(49 + 576) = √625 = 25.

So, the distance between the two points is 25 units.