Question

If the distance between A(x,3) and B(4.3) is 16 units, find the value of x.​

Answer 1

The answer is X=20 or X=-12

Answer 2

`- 12`

Explanation:

`x1 = x \: \: y1 = 3 \\ x2 = 4 \: \: y2 = 3 \\ distance \: betwen \: two \: points = \sqrt{(x2 - x1) {}^(2) +( y2 - y1) {}^(2) } \\ 16= \sqrt{(4 - x) {}^(2) + (3 - 3) {}^(2) } \\ 16 = \sqrt{(4 - x) {}^(2) + 0} \\ 16 = \sqrt{(4 - x) {}^(2) } \\ 16 = 4 - x \\ 16 - 4 = - x \\ 12 = - x \\ x = - 12`