Question

What is the distance between A(3,7) and B(4,2)?

Round your answer to the nearest tenth.
A. 5.1
B. 4.9
C. 11.4
D. 7.9

Answer 1

A. 5.1

Explanation:

`d=√((x_B-x_A)^2+(y_B-y_A)^2)\\\\A(3,7)\quad\implies\quad x_A=3\,,\ y_A=7\\\\B(4,2)\quad\implies\quad x_B=4\,,\ y_B=2\\\\d=√((4-3)^2+(2-7)^2)= √(1^2+(-5)^2)= √(1+25)= √(26)\approx5.1`