4 Find the distance between the two points: \( (-3,-4)(1,6) \). Round your answer to the nearest tenth.
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To find the distance between the points \((-3,-4)\) and \( (1,6) \), you can use the distance formula, which is given by: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] Substituting the coordinates into the formula: \[ d = \sqrt{(1 - (-3))^2 + (6 - (-4))^2} \] \[ = \sqrt{(1 + 3)^2 + (6 + 4)^2} \] \[ = \sqrt{(4)^2 + (10)^2} \] \[ = \sqrt{16 + 100} \] \[ = \sqrt{116} \] Calculating this gives approximately: \[ d \approx 10.8 \] So, the distance between the two points is about 10.8 units when rounded to the nearest tenth.
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