This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Welcome back Dery — been a while! Let's pick up where you left off. To calculate the distance between two points (x_1, y_1) and (x_2, y_2), we use the distance formula: D = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2) Step 1: Identify the coordinates of the two towns. Town X is at (x_1, y_1) = (2, -5). Town Y is at (x_2, y_2) = (3, 7). Step 2: Substitute the coordinates into the distance formula. D = sqrt((3 - 2)^2 + (7 - (-5))^2) Step 3: Calculate the differences in the x and y coordinates. D = sqrt((1)^2 + (7 + 5)^2) D = sqrt((1)^2 + (12)^2) Step 4: Square the differences. D = sqrt(1 + 144) Step 5: Add the squared values. D = sqrt(145) Step 6: Calculate the square root. D ≈ 12.04159 The distance between the two towns is approximately 12.04 units. sqrt(145) units ≈ 12.04 units Send me the next one 📸