Question

Find the distance between these points.. . R(-1, 0), S(8, 6). . A] √(26). B] √(85). C] √(117)

Answer 1

`The\ distance\ between\ A(x_A;\ y_A)\ and\ B(x_B;\ y_B):\\\\d=√((x_B-x_A)^2+(y_B-y_A)^2)\\\\------------------------------\\\\R(-1;\ 0);\ S(8;\ 6)\\\\subtitute\\\\d=√((8-(-1))^2+(6-0)^2)=√(9^2+6^2)=√(81+36)\\\\=\boxed{√(117)}=√(9\cdot13)=\sqrt9\cdot√(13)=3√(13)`