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

asked Jul 4, 2023 11.5k views

2 votes

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3 votes

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,

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

Hadilq answered Jul 11, 2023

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