Find the distance between the two points. \( (2,9) \) and \( (-10,25) \) The distance is \( \square \). (Type an exact answer, using radicals as needed.)

To find the distance between the two points \( (2,9) \) and \( (-10,25) \), we can use the distance formula: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] where \( (x_1, y_1) = (2, 9) \) and \( (x_2, y_2) = (-10, 25) \). Now, let's substitute the coordinates into the formula: 1. Calculate \( x_2 - x_1 \): \[ x_2 - x_1 = -10 - 2 = -12 \] 2. Calculate \( y_2 - y_1 \): \[ y_2 - y_1 = 25 - 9 = 16 \] 3. Now substitute these values into the distance formula: \[ d = \sqrt{(-12)^2 + (16)^2} \] 4. Calculate \( (-12)^2 \) and \( (16)^2 \): \[ (-12)^2 = 144 \] \[ (16)^2 = 256 \] 5. Add these results: \[ d = \sqrt{144 + 256} = \sqrt{400} \] 6. Finally, calculate the square root: \[ d = 20 \] Thus, the distance between the two points is \( 20 \).