To find the distance between two points \( A(4, 8) \) and \( B(18, 12) \), we can use the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
In this case, \( A(4, 8) \) has coordinates \( (x_1, y_1) = (4, 8) \) and \( B(18, 12) \) has coordinates \( (x_2, y_2) = (18, 12) \).
Now, substituting the values into the formula:
\[ d = \sqrt{(18 - 4)^2 + (12 - 8)^2} \]
Calculating the differences:
\[ d = \sqrt{(14)^2 + (4)^2} \]
Calculating the squares:
\[ d = \sqrt{196 + 16} \]
Adding the results:
\[ d = \sqrt{212} \]
Now, we need to compute the square root of 212:
\[ d \approx 14.5602 \]
Rounding to the nearest tenth gives:
\[ d \approx 14.6 \]
Thus, the distance between points \( A(4, 8) \) and \( B(18, 12) \) is approximately 14.6.
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