Question

Given (11,6)

and (x,−9)
, find all x
such that the distance between these two points is 17
. Separate multiple answers with a comma.

Answer 1

the possible values of x such that the distance between (11, 6) and (x, -9) is 17 are 19 and 3.

Explanation:

We can use the distance formula to find the possible values of x:

d = √[(x2 - x1)^2 + (y2 - y1)^2]

17 = √[(x - 11)^2 + (-9 - 6)^2]

289 = (x - 11)^2 + 225

64 = (x - 11)^2

±8 = x - 11

Solving for x in both equations, we get:

x - 11 = 8 or x - 11 = -8

x = 19 or x = 3

Therefore, the possible values of x such that the distance between (11, 6) and (x, -9) is 17 are 19 and 3.