What is the distance between the origin and the point (5, -19)? If necessary, round your answer to two decimal places.
Origin is (0,0).
To find the distance between two points in a two-dimensional coordinate system, we can use the distance formula.
The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) represents the coordinates of the first point (in this case, the origin) and (x2, y2) represents the coordinates of the second point (5, -19).
In this case, the coordinates of the origin are (0, 0) and the coordinates of the second point are (5, -19).
Substituting these values into the formula, we have:
d = sqrt((5 - 0)^2 + (-19 - 0)^2)
= sqrt(5^2 + (-19)^2)
= sqrt(25 + 361)
= sqrt(386)
Therefore, the distance between the origin and the point (5, -19) is approximately sqrt(386), or approximately 19.65 when rounded to two decimal places.