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21.07.2022 - 13:36

Find the distance d(A, B) between points A and B. A(4, 2); B(-1, -2).

Question:

Find the distance {eq}d(A, B) {/eq} between points {eq}A {/eq} and {eq}B {/eq}.

{eq}A(4, 2); B(-1, -2) {/eq}

Answers (1)

Ada April 6, 2023 в 03:42

Using the distance formula, we have: {eq}d(A, B) = sqrt{(x_B - x_A)^2 + (y_B - y_A)^2} {/eq} Substituting the given coordinates, we get: {eq}d(A, B) = sqrt{(-1 - 4)^2 + (-2 - 2)^2} {/eq} Simplifying: {eq}d(A, B) = sqrt{(-5)^2 + (-4)^2} {/eq} {eq}d(A, B) = sqrt{25 + 16} {/eq} {eq}d(A, B) = sqrt{41} \approx 6.4 {/eq} Therefore, the distance between points A and B is \approx imately 6.4 units.

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