Find the distance between point A(−3, 3) and B(9, −2). Round your answer to the nearest tenth. The distance between point A and point B is about?
The distance between two points in a Cartesian plane can be found using the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
For point A(-3, 3) and point B(9, -2), we can plug in the coordinates into the formula:
d = √((9 - (-3))^2 + (-2 - 3)^2)
= √((9 + 3)^2 + (-2 - 3)^2)
= √((12)^2 + (-5)^2)
= √(144 + 25)
= √169
= 13
Therefore, the distance between point A and point B is approximately 13 units.
To find the distance between point A(-3, 3) and point B(9, -2), you can use the distance formula. The formula is:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substituting the coordinates of the points, we have:
Distance = sqrt((9 - (-3))^2 + (-2 - 3)^2)
= sqrt((9 + 3)^2 + (-2 - 3)^2)
= sqrt(12^2 + (-5)^2)
= sqrt(144 + 25)
= sqrt(169)
= 13
Rounding to the nearest tenth, the distance between point A and point B is about 13 units.
To find the distance between two points in a coordinate plane, you can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of point A are (-3, 3) and the coordinates of point B are (9, -2).
Substituting these values into the formula, we get:
Distance = √((9 - (-3))^2 + (-2 - 3)^2)
= √((9 + 3)^2 + (-2 - 3)^2)
= √((12)^2 + (-5)^2)
= √(144 + 25)
= √169
= 13
Therefore, the distance between point A and point B is 13 units. Rounded to the nearest tenth, it is approximately 13.0 units.