Question

Find the distance of the two points: (0, -2), (-5, -1)

Answer 1

To find the distance between two points in the Cartesian plane, you can use the distance formula, which involves calculating the square root of the sum of the squares of the differences in x and y coordinates. In this case, the distance between the points (0, -2) and (-5, -1) is approximately 5.1 units.

Step-by-step explanation:

To find the distance between two points, (0, -2) and (-5, -1), you can use the distance formula. The distance formula is:

d = sqrt((x2-x1)^2 + (y2-y1)^2)

Plugging in the coordinates, you get:

d = sqrt((-5-0)^2 + (-1-(-2))^2)

Simplifying further, you get:

d = sqrt(25 + 1)

d = sqrt(26)

So, the distance between the two points is approximately 5.1 units.

Answer 2

The distance between the points (0, -2) and (-5, -1) is found using the distance formula, with the result being approximately 5.10 units.

Step-by-step explanation:

To find the distance between two points in a Cartesian coordinate system, you can use the distance formula: √((x2 - x1)² + (y2 - y1)²), where (x1, y1) and (x2, y2) are the coordinates of the two points. For the points (0, -2) and (-5, -1), we first calculate the difference in the x-coordinates and the difference in the y-coordinates. Then we square each difference, add them together, and take the square root of the result:

• Find the difference in x-coordinates: -5 - 0 = -5.
• Find the difference in y-coordinates: -1 - (-2) = 1.
• Square each difference: (-5)² = 25 and (1)² = 1.
• Add the squares: 25 + 1 = 26.
• Take the square root of the sum: √26 ≈ 5.10.

Therefore, the distance between the points (0, -2) and (-5, -1) is approximately 5.10 units.