Question - Calculating Distance Between Two Points on a Coordinate Plane
Solution:
The question is asking you to calculate the distance between two points on a coordinate plane, which essentially is asking you to find the length of the hypotenuse of a right triangle formed with these two points as its endpoints. The points provided are (3, 7) and (8, 5).To determine the distance between these two points, you can use the distance formula:\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]Where (x1, y1) and (x2, y2) are the coordinates of the two points.Substitute the coordinates into the formula:\[ d = \sqrt{(8 - 3)^2 + (5 - 7)^2} \]\[ d = \sqrt{(5)^2 + (-2)^2} \]\[ d = \sqrt{25 + 4} \]\[ d = \sqrt{29} \]So, the distance between the two points to the nearest tenth is approximately $$\sqrt{29}$$, which is about 5.4 when rounded to the nearest tenth.
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