\( \rightarrow \mathrm{C} \mathrm{A} \) hmhco.com/ui/\#/assessment-view/live (8) Accessibility On your own paper, plot the points \( (3,60) \) and \( (-5,45) \). Find the distance between these two points. Round to the nearest tenth if necessary. Enter the correct answer in the box. \( \square \) units 7

To find the distance between the two points \( (3, 60) \) and \( (-5, 45) \), we can use the distance formula, which is given by: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] where \( (x_1, y_1) \) and \( (x_2, y_2) \) are the coordinates of the two points. ### Step 1: Identify the coordinates Let: - \( (x_1, y_1) = (3, 60) \) - \( (x_2, y_2) = (-5, 45) \) ### Step 2: Substitute the coordinates into the distance formula Now, we can substitute the values into the formula: \[ d = \sqrt{((-5) - 3)^2 + (45 - 60)^2} \] ### Step 3: Calculate the differences Calculate \( x_2 - x_1 \) and \( y_2 - y_1 \): \[ x_2 - x_1 = -5 - 3 = -8 \] \[ y_2 - y_1 = 45 - 60 = -15 \] ### Step 4: Square the differences Now square these differences: \[ (-8)^2 = 64 \] \[ (-15)^2 = 225 \] ### Step 5: Add the squares Now add the squared differences: \[ 64 + 225 = 289 \] ### Step 6: Take the square root Now take the square root to find the distance: \[ d = \sqrt{289} = 17 \] ### Final Answer The distance between the points \( (3, 60) \) and \( (-5, 45) \) is \( 17 \) units. Thus, the answer to enter in the box is: \[ \boxed{17} \text{ units} \]