Answer:
The distance between (-3,0) and (1,3) is 5 units.
Explanation:
To use the Pythagorean Theorem to find the distance between two points, we need to first find the length of each side of the right triangle formed by connecting the two points.
Let's call the first point (-3,0) point A, and the second point (1,3) point B.
The horizontal distance between A and B is 1 - (-3) = 4.
The vertical distance between A and B is 3 - 0 = 3.
We can use these values to find the hypotenuse of the right triangle formed by connecting A and B:
c² = a² + b²
c² = 4² + 3²
c² = 16 + 9
c² = 25
c = √25
c = 5
So the distance between (-3,0) and (1,3) is 5 units.