Question 13 of 26
Which expression gives the distance between the points \( (1,-2) \) and \( (2,4) ? \)
A. \( \sqrt{(1-2)^{2}+(-2-4)^{2}} \)
B. \( (1+2)^{2}+(2-4)^{2} \)
C. \( (1-2)^{2}+(-2-4)^{2} \)
D. \( \sqrt{(1+2)^{2}+(2-4)^{2}} \)

Answer

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Answer

3. \(d = \sqrt{(1 - 2)^{2} + (-2 - 4)^{2}}\)

Steps

Step 1 ：1. \(d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}\)

Step 2 ：2. \(d = \sqrt{(2 - 1)^{2} + (4 - (-2))^{2}}\)

Step 3 ：3. \(d = \sqrt{(1 - 2)^{2} + (-2 - 4)^{2}}\)