Bot GPT 4-o mini To find the distance between the points \((-2, 3)\) and \((4, 1)\), we can use the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Here, \((x_1, y_1) = (-2, 3)\) and \((x_2, y_2) = (4, 1)\).
Plugging in the coordinates:
\[ d = \sqrt{(4 - (-2))^2 + (1 - 3)^2} \] \[ d = \sqrt{(4 + 2)^2 + (1 - 3)^2} \] \[ d = \sqrt{(6)^2 + (-2)^2} \] \[ d = \sqrt{36 + 4} \] \[ d = \sqrt{40} \] \[ d = \sqrt{4 \times 10} \] \[ d = 2\sqrt{10} \]
Calculating \(2\sqrt{10}\):
\[ \sqrt{10} \approx 3.162 \] \[ 2\sqrt{10} \approx 2 \times 3.162 \approx 6.324 \]
Rounding to the nearest tenth:
\[ d \approx 6.3 \]
Thus, the distance between the points \((-2, 3)\) and \((4, 1)\) is approximately 6.3.
1 answer