Find the distance between points P(3,-6) and Q(6,4). Round to the nearest tenth.
use the distance between two points formula
Distance = √( (6-3)^2 + (4+6)^2 )
= ....
carry on
To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is derived from the Pythagorean theorem, and it measures the straight-line distance between two points.
The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Now let's apply this formula to find the distance between points P(3, -6) and Q(6, 4):
d = sqrt((6 - 3)^2 + (4 - (-6))^2)
= sqrt(3^2 + 10^2)
= sqrt(9 + 100)
= sqrt(109)
≈ 10.4
Therefore, the distance between points P(3, -6) and Q(6, 4) is approximately 10.4 units.