Answer:
D=10.44
Explanation:
Here we are given with two coordinates and asked to determine the distance between them.
Here we are going to use the distance formula, which is given as under
![D=√((y_2-y_1)^2+(x_2-x_1)^2)](https://img.qammunity.org/2020/formulas/mathematics/high-school/ks54oobmfo58ot5w8ts9brc0der0rbsovn.png)
Where
![(x_1,y_1) = (5,-5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zu93xrajrcufuj8hzr4irc1uy6zvhxn649.png)
![(x_2,y_2) = (2,5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/usbf2iorchhc3m34xdjhbt6kfmc0we7cee.png)
Replacing these values in the distance formula
![D =√((5-2)^2+(-5-5)^2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4gnmot3h2tl63ldrz1xa73lvq8vheg1w06.png)
![D =√((3)^2+(-10)^2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dpxk45l1q1hzsuqjp59uh69uu527q3my06.png)
![D =√(9+100)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3ywbmkk5tcii0r0o12manw0zekngsdzthq.png)
![D =√(109)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/nr6ym7kh45aoia9ipi2xt8if02kjcy0n80.png)
![D= 10.4403](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jitxwat7o3n1rlpmgce93fxxb6ay1dz71e.png)
Hence the Distance is 10.44 units