Find the distance between the two points (6.5, 1.0) and (-8.6, -5.2). Give your answer rounded to two decimal places
sqrt[(x1-x2)^2 +(y1-y2)^2]
= sqrt[(6.5+8.6)^2 + (1+5.2)^2]
= sqrt[15.1^2 + 6.2^2]
= sqrt[228.01 + 38.44]
Take from there.
To find the distance between two points in a two-dimensional plane, we can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2),
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, the coordinates of the two points are (6.5, 1.0) and (-8.6, -5.2).
Plugging in the values into the distance formula, we get:
Distance = sqrt((-8.6 - 6.5)^2 + (-5.2 - 1.0)^2).
Simplifying this expression, we have:
Distance = sqrt((-15.1)^2 + (-6.2)^2),
Distance = sqrt(228.01 + 38.44),
Distance = sqrt(266.45).
Rounded to two decimal places, the distance is approximately 16.34.