Geometry. The distance of a line segment is 6 radical 3 feet Find all possible values of "b" to the nearest 10th if the coordinates that make up the line segment are (7, b) and (3, "-2)"

Answer 1

Use the distance formula for the given points:

D: √((7-3)²+(b+2)²) = 6√3

Square both sides to eliminate the radical.

Subtract 16 from both sides.

Take the square root both sides yielding two possible answers (±).

Finally subtract 2 from both sides giving the two possible values of b.

Try the above and then check it out here:

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