To find the distance between two points, you can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the points are (2, -3) and (8, -9). Let's plug these values into the formula:
d = √((8 - 2)^2 + (-9 - (-3))^2)
= √((6)^2 + (-6)^2)
= √(36 + 36)
= √72
≈ 8.485
Therefore, the distance between the points (2, -3) and (8, -9) is approximately 8.485 units.
What is the distance between the following points?
(2, -3) (8, -9)
3 answers
What is the distance between the following points?
(2, -3) (8, -9)
(2, -3) (8, -9)
The distance between the points (2, -3) and (8, -9) can be calculated using the distance formula:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
Plugging in the given values:
Distance = √((8 - 2)² + (-9 - (-3))²)
Distance = √(6² + (-6)²)
Distance = √(36 + 36)
Distance = √72
To simplify the square root, we can rewrite 72 as the product of a perfect square and a non-perfect square. Since 36 is a perfect square, we can write:
Distance = √(36 * 2)
Distance = √36 * √2
Distance = 6√2
Therefore, the distance between the points (2, -3) and (8, -9) is 6√2 or approximately 8.49 units.
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
Plugging in the given values:
Distance = √((8 - 2)² + (-9 - (-3))²)
Distance = √(6² + (-6)²)
Distance = √(36 + 36)
Distance = √72
To simplify the square root, we can rewrite 72 as the product of a perfect square and a non-perfect square. Since 36 is a perfect square, we can write:
Distance = √(36 * 2)
Distance = √36 * √2
Distance = 6√2
Therefore, the distance between the points (2, -3) and (8, -9) is 6√2 or approximately 8.49 units.
2 answers