Which of the following points has a distance of 10 from the point (−1, 2)?(1 point) Responses (−11, 2) Left Parenthesis negative 11 comma 2 Right Parenthesis (−1, −12) Left Parenthesis negative 1 comma negative 12 Right Parenthesis (10, 2) Left Parenthesis 10 comma 2 Right Parenthesis (−1, 10)
The point that has a distance of 10 from the point (-1, 2) is (10, 2).
To find the distance between two points (x1, y1) and (x2, y2), you can use the distance formula, which is:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, it will be:
Distance = sqrt((10 - (-1))^2 + (2 - 2)^2)
Distance = sqrt((10 + 1)^2 + 0^2)
Distance = sqrt(11^2)
Distance = sqrt(121)
Distance = 11
Since the distance between (-1, 2) and (10, 2) is 11, and not 10, the correct point is actually (-1, 10).