Answer:
Step-by-step explanation:
X( -9 , 2) & Y(5 , -4)
Check the picture below.
the nswer is 11.6785714286
29
![distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\XY=\sqrt{(5-[-9])^{2}+(-4-2)^{2}}\\\\=\sqrt{(5+9)^{2}+(-6)^{2}}\\\\=\sqrt{(14)^{2}+(-6)^{2}}\\\\=\sqrt{196+36}\\\\=\sqrt{232}\\\\= 15.23](https://tex.z-dn.net/?f=distance%20%3D%20%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%7D%5C%5C%5C%5CXY%3D%5Csqrt%7B%285-%5B-9%5D%29%5E%7B2%7D%2B%28-4-2%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%285%2B9%29%5E%7B2%7D%2B%28-6%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%2814%29%5E%7B2%7D%2B%28-6%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B196%2B36%7D%5C%5C%5C%5C%3D%5Csqrt%7B232%7D%5C%5C%5C%5C%3D%2015.23)
