Question

Find AB in simplest form, if A(-3, 4) and B(4, 7).

Answer 1

Answer: AB≈7.62 units

Explanation:

A(-3,4) B(4,7)

`\boxed {L=√((x_2-x_1)^2+(y_2-y_1)^2) }\\\\x_1=-3\ \ \ \ x_2=4\ \ \ \ y_1=4\ \ \ \ y_2=7`

Hence,

`AB=√((4-(-3))^2+(7-4)^2) \\\\AB=√((4+3)^2+3^2) \\\\AB=√(7^2+9) \\\\AB=√(49+9) \\\\AB=√(58) \\\\AB\approx7.62\ units`