Question

1.3.AP-4Find the distance d(A,B) between points A and B.A(7. - 4); B(7,2)d(A,B)=(simplify your answer. Type an exact answer, using radicals as needed.)

Answer 1

Recall that the distance between two points is given as

$\begin{gathered} d\text{ = }\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \text{where (x}_1,y_1)\text{ = (7, -4) and (x}_2,y_2)\text{ = }(7,\text{ 2)} \\ \text{Thus, d = }\sqrt{(7-7)^2+(2-(-4))^2} \\ d\text{ = }\sqrt{0+6^2} \\ d\text{ = }\sqrt{36} \\ d\text{ = 6 units} \end{gathered}$