Find the length of a segment point joining the endpoint (-1.8) & (4.-16).
using your distance formula, that would be
√((4+1)^2 + (-16-8)^2) = √(5^2+24^2) = √601
not quite sure what a "segment point" is ...
and coordinates are usually written using commas instead of periods.
To find the length of a line segment joining two endpoints, you can use the distance formula. The distance formula is:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) and (x2, y2) are the coordinates of the two endpoints.
In this case, the coordinates of the endpoints are (-1,8) and (4,-16). Substituting these values into the distance formula:
d = √((4 - (-1))^2 + (-16 - 8)^2)
= √((4 + 1)^2 + (-24)^2)
= √(5^2 + (-24)^2)
= √(25 + 576)
= √601
So, the length of the line segment joining the endpoints (-1,8) and (4,-16) is √601 (approximately 24.52).
To find the length of a line segment between two points, we can use the distance formula. The distance formula is derived from the Pythagorean theorem.
The distance between two points (x1, y1) and (x2, y2) in a Cartesian coordinate system can be calculated using the following formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the points are (-1, 8) and (4, -16), so we can plug the coordinates into the formula:
d = √((4 - (-1))^2 + (-16 - 8)^2)
Simplify the equation:
d = √((5)^2 + (-24)^2)
Calculate the squared values:
d = √(25 + 576)
Combine like terms:
d = √(601)
Now, we can find the square root of 601:
d ≈ 24.53
Therefore, the length of the line segment joining the points (-1, 8) and (4, -16) is approximately 24.53 units.