The problem asks us to find the distance between two points, $(-8, 7)$ and $(-2, -1)$, and round the answer to the nearest tenth.

GeometryDistance FormulaCoordinate GeometryEuclidean Geometry
2025/3/27

1. Problem Description

The problem asks us to find the distance between two points, (8,7)(-8, 7) and (2,1)(-2, -1), and round the answer to the nearest tenth.

2. Solution Steps

We use the distance formula to find the distance between the two points. The distance formula is:
d=(x2x1)2+(y2y1)2d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
where (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) are the coordinates of the two points.
In our case, (x1,y1)=(8,7)(x_1, y_1) = (-8, 7) and (x2,y2)=(2,1)(x_2, y_2) = (-2, -1).
Plugging in the values, we get:
d=(2(8))2+(17)2d = \sqrt{(-2 - (-8))^2 + (-1 - 7)^2}
d=(2+8)2+(8)2d = \sqrt{(-2 + 8)^2 + (-8)^2}
d=(6)2+(8)2d = \sqrt{(6)^2 + (-8)^2}
d=36+64d = \sqrt{36 + 64}
d=100d = \sqrt{100}
d=10d = 10

3. Final Answer

10.0

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