how to find the distance between each pair of points (0,3)and (3,-5)
To find the distance between two points, you can use the distance formula. The distance formula is given as:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Using the points (0,3) and (3,-5), we can substitute the values into the formula:
Distance = √[(3 - 0)^2 + (-5 - 3)^2]
= √[3^2 + (-8)^2]
= √[9 + 64]
= √73
Therefore, the distance between the points (0,3) and (3,-5) is √73.
To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula is derived from the Pythagorean theorem, and it applies to any two points (x1, y1) and (x2, y2) in the plane.
The distance between two points (x1, y1) and (x2, y2) can be calculated using the following formula:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
Let's use this formula to calculate the distance between the points (0, 3) and (3, -5).
Step 1: Identify the coordinates of the two points.
- Point 1: (x1, y1) = (0, 3)
- Point 2: (x2, y2) = (3, -5)
Step 2: Substitute the values into the distance formula.
- distance = √((3 - 0)^2 + (-5 - 3)^2)
- distance = √(3^2 + (-8)^2)
- distance = √(9 + 64)
- distance = √73
Therefore, the exact distance between the points (0, 3) and (3, -5) is √73, which is approximately equal to 8.54 (rounded to two decimal places).
use the distance formula. So,
d = √((3-0)^2 + (-5-3)^2)