What is the number of units in the distance from the origin to the point (-8,6) in a coordinate system?
(-7.68136,2.23536) rectangular
(10,-0.6435011088) Polar Hope this is what your asking
Distance can be calculated by Pythagoras theorem:
Distance = sqrt((-8)^2+6^2)
=10
To find the distance from the origin to a point in a coordinate system, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the origin are (0,0) and the coordinates of the point are (-8,6). Substituting these values into the distance formula, we get:
d = sqrt((-8 - 0)^2 + (6 - 0)^2)
Simplifying further:
d = sqrt((-8)^2 + (6)^2)
d = sqrt(64 + 36)
d = sqrt(100)
d = 10
Therefore, the distance from the origin to the point (-8,6) in a coordinate system is 10 units.