Question

José needs to calculate the midpoint of the coordinate points of his test. We understand that calculating the midpoint is important to understand the location of future calculations in geoprocessing. We know that, to calculate the point M(xm,ym), the coordinate point of the segment is described as follows: A1(x1,y1) and A2(x2,y2). José's teacher gave the following data: A1 (2.2) and A2 (6.6). Regarding the midpoint, analyze the following sentences: I- For point X, we use the following formula: xm = ((x1+x2)/2). II- For point Y, we use the following formula: ym= ((y1+Y2)/2). III- The correct answer about the midpoint of segments A1 (2,2) and A2 (6,6) is: 4,4. IV- The correct answer about the midpoint of segments A1 (2,2) and A2 (6,6) is: 3.4

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Answer to a math question José needs to calculate the midpoint of the coordinate points of his test. We understand that calculating the midpoint is important to understand the location of future calculations in geoprocessing. We know that, to calculate the point M(xm,ym), the coordinate point of the segment is described as follows: A1(x1,y1) and A2(x2,y2). José's teacher gave the following data: A1 (2.2) and A2 (6.6). Regarding the midpoint, analyze the following sentences: I- For point X, we use the following formula: xm = ((x1+x2)/2). II- For point Y, we use the following formula: ym= ((y1+Y2)/2). III- The correct answer about the midpoint of segments A1 (2,2) and A2 (6,6) is: 4,4. IV- The correct answer about the midpoint of segments A1 (2,2) and A2 (6,6) is: 3.4

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117 Answers
Vamos calcular o ponto médio dos segmentos A1(2,2) e A2(6,6) de acordo com as fórmulas corretas.

Para o ponto médio em x, usamos a fórmula:
x_m = \frac{x_1+x_2}{2}

Substituindo x_1 = 2 e x_2 = 6 :
x_m = \frac{2 + 6}{2} = \frac{8}{2} = 4

Para o ponto médio em y, usamos a fórmula:
y_m = \frac{y_1+y_2}{2}

Substituindo y_1 = 2 e y_2 = 6 :
y_m = \frac{2 + 6}{2} = \frac{8}{2} = 4

Portanto, o ponto médio dos segmentos A1(2,2) e A2(6,6) é M(4,4).

\textbf{Resposta:} M(4,4)

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