Question

Given (6,1) and (x,−11), find all x such that the distance between these two points is 13 Separate multiple answers with a comma.

Answer 1

To find all values of x such that the distance between the points (6,1) and (x,-11) is 13, use the distance formula and solve for x.

Step-by-step explanation:

To find all values of x such that the distance between the points (6,1) and (x,-11) is 13, we can use the distance formula. The distance formula is D = sqrt((x2-x1)^2 + (y2-y1)^2). Substituting the given points into the formula, we get 13 = sqrt((x-6)^2 + (-11-1)^2). Squaring both sides of the equation, we have 169 = (x-6)^2 + 144. Simplifying further, we get (x-6)^2 = 25. Taking the square root of both sides, we have x-6 = ±5. Solving for x, we get x = 11 or x = 1.