The right response is “b.”
Justification:
Finding the distance between two points, P and P’, with coordinates of (7,−9) and (−9,−9), respectively, is the question’s focus.
The distance formula, which is derived from the Pythagorean theorem, can be used to determine the separation between two points in a two-dimensional plane.
According to the distance formula, the separation between two points (x1, y1) and (x2, y2) is equal to:
sqrt((x2 – x1)^2 + (y2 – y1)^2)
In this instance, using the provided coordinates and the distance formula to points P and P’, we obtain:
distance (PP’) = sqrt(((-9) – (7))((-9) – (-9))^2 + ^2
Making the equation simpler:
distance (PP’) = sqrt((16)^2 + (0)^2)
There is no vertical movement because the y coordinates are the same, so the distance is just the 16-unit change in the x-coordinate.
Thus, answer choice (b) corresponds to the distance between P and P’ (PP’), which is 16.
The right response is “b.”
Justification:
Finding the distance between two points, P and P’, with coordinates of (7,−9) and (−9,−9), respectively, is the question’s focus.
The distance formula, which is derived from the Pythagorean theorem, can be used to determine the separation between two points in a two-dimensional plane.
According to the distance formula, the separation between two points (x1, y1) and (x2, y2) is equal to:
sqrt((x2 – x1)^2 + (y2 – y1)^2)
In this instance, using the provided coordinates and the distance formula to points P and P’, we obtain:
distance (PP’) = sqrt(((-9) – (7))((-9) – (-9))^2 + ^2
Making the equation simpler:
distance (PP’) = sqrt((16)^2 + (0)^2)
There is no vertical movement because the y coordinates are the same, so the distance is just the 16-unit change in the x-coordinate.
Thus, answer choice (b) corresponds to the distance between P and P’ (PP’), which is 16.