Find the distance between the points (-8, -2) and (6, -1). Round to the nearest tenth(1 point)
To find the distance between two points, we can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates (-8, -2) and (6, -1):
d = sqrt((6 - (-8))^2 + (-1 - (-2))^2)
= sqrt((6 + 8)^2 + (-1 + 2)^2)
= sqrt(14^2 + 1^2)
= sqrt(196 + 1)
= sqrt(197)
≈ 14.0
Therefore, the distance between the points (-8, -2) and (6, -1) rounded to the nearest tenth is 14.0 units.
To find the distance between two points in a Cartesian plane, we can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Given the coordinates of the two points, (-8, -2) and (6, -1), we can substitute these values into the formula.
d = sqrt((6 - (-8))^2 + (-1 - (-2))^2)
= sqrt((14)^2 + (1)^2)
= sqrt(196 + 1)
= sqrt(197)
Rounding to the nearest tenth, the distance between the two points is approximately 14.0 units.
To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula is derived from the Pythagorean theorem.
The formula for the distance between two points (x1, y1) and (x2, y2) is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's calculate the distance between the points (-8, -2) and (6, -1):
x1 = -8
y1 = -2
x2 = 6
y2 = -1
Substituting the values into the distance formula:
d = sqrt((6 - (-8))^2 + (-1 - (-2))^2)
= sqrt((6 + 8)^2 + (-1 + 2)^2)
= sqrt((14)^2 + (1)^2)
= sqrt(196 + 1)
= sqrt(197)
Now, rounding the result to the nearest tenth(1 point):
d ≈ 14.0
Therefore, the distance between the points (-8, -2) and (6, -1) is approximately 14.0 units.