Question

Find the distance between points A(2, 3) and B(5, 7) on a Cartesian plane.

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Answer to a math question Find the distance between points A(2, 3) and B(5, 7) on a Cartesian plane.

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Tiffany
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97 Answers
1. Utiliza la fórmula de distancia entre dos puntos en un plano cartesiano:

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

2. Sustituye las coordenadas de los puntos A(2, 3) y B(5, 7):

d = \sqrt{(5-2)^2 + (7-3)^2}

3. Realiza las operaciones dentro del radical:

d = \sqrt{3^2 + 4^2}

4. Simplifica las potencias:

d = \sqrt{9 + 16}

5. Suma los valores:

d = \sqrt{25}

6. Calcula la raíz cuadrada:

d = 5

Por lo tanto, la distancia entre los puntos A y B es 5 .

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