find the distance, to the nearest tenth, from T(4,-2) to U(-2,3).
change in x = -2-4 = -6
change in y = 3 + 2 = 5
d^2 = 36 + 25
d^2 = 61
d = sqrt (61)
To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Let's use this formula to find the distance between T(4, -2) and U(-2, 3).
x1 = 4, y1 = -2
x2 = -2, y2 = 3
Substituting the values into the formula:
d = √((-2 - 4)^2 + (3 - (-2))^2)
= √((-6)^2 + (3 + 2)^2)
= √(36 + 25)
= √61
Therefore, the distance, to the nearest tenth, from T(4, -2) to U(-2, 3) is approximately 7.8.
To find the distance between two points, you can use the distance formula.
The distance formula is √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points.
Let's plug in the given coordinates into the formula:
(x1, y1) = (4, -2)
(x2, y2) = (-2, 3)
The distance between the points T(4, -2) and U(-2, 3) is:
√((-2 - 4)^2 + (3 - (-2))^2)
= √((-6)^2 + (3 + 2)^2)
= √(36 + 25)
= √61
Therefore, the distance between T(4, -2) and U(-2, 3) is approximately √61 units. To find the distance to the nearest tenth, we round it to one decimal place:
√61 ≈ 7.8
So, the distance from T(4, -2) to U(-2, 3) is approximately 7.8 units.