Answer:
Explanation:
To find the distance between each pair of points, you can use the distance formula, which is derived from the Pythagorean theorem.
Distance between -35 and 21 on a number line:
Simply subtract one number from the other:
Distance = 21 - (-35) = 21 + 35 = 56
Distance between points A (5, 0) and B (8, 0) in a 2D plane:
Since both points lie on the same horizontal line (the x-axis), the distance between them is simply the difference in their x-coordinates:
Distance = 8 - 5 = 3 units
Distance between points M (6, -2) and N (6, 8) in a 2D plane:
Since both points have the same x-coordinate, they lie on the same vertical line (the y-axis), so the distance between them is the difference in their y-coordinates:
Distance = 8 - (-2) = 8 + 2 = 10 units
Distance between points X (4, 4) and Y (9, 16) in a 2D plane:
Use the distance formula, which is the square root of the sum of the squares of the differences in x and y coordinates:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
Distance = √((9 - 4)² + (16 - 4)²)
Distance = √(5² + 12²)
Distance = √(25 + 144)
Distance = √169
Distance = 13 units
So, the distances are:
56 units
3 units
10 units
13 units