Question

use the distance formula to determine the distance between points d and l.
$(x_{2}-x_{1})^{2}=225$ enter the square of the horizontal distance.
$(y_{2}-y_{1})^{2}=361$ enter the square of the vertical distance.
$(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}=586$ enter the sum of the squares of the horizontal and vertical distances.
$\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\approx24.2$ enter the approximate square root of the sum.
the distance between points d and l is approximately blocks.

Explanation:

Step1: Recall the distance formula

The distance \(d\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).

Step2: Use the given values

We are given \((x_2 - x_1)^2 = 225\), \((y_2 - y_1)^2=361\), and \(\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\approx24.2\)

Answer:

\(24.2\)