If point A is located at (9, -2), which of the following points would be located 9 units away from point A?
A. (9,-7)
B. (1,-2)
C. (9,-11)
D. (9,-9)
I believe this would be C (9,-11) would I be right? Thanks for the help.
yes, according to the distance formula, the distance
= √( (9-9)^2 + (-11 + 2)^2)
= √(0 + 81)
= √81
= 9
Thank You Reiny
To determine which of the given points is located 9 units away from point A, you can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is calculated using the formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Let's calculate the distances from point A (9, -2) to each of the given points:
A. (9, -7)
Distance = √((9 - 9)^2 + (-7 - (-2))^2) = √(0^2 + (-5)^2) = √(0 + 25) = √25 = 5 units
B. (1, -2)
Distance = √((1 - 9)^2 + (-2 - (-2))^2) = √((-8)^2 + 0^2) = √(64 + 0) = √64 = 8 units
C. (9, -11)
Distance = √((9 - 9)^2 + (-11 - (-2))^2) = √(0^2 + (-9)^2) = √(0 + 81) = √81 = 9 units
D. (9, -9)
Distance = √((9 - 9)^2 + (-9 - (-2))^2) = √(0^2 + (-7)^2) = √(0 + 49) = √49 = 7 units
From the calculations, you can see that point C (9, -11) is indeed located 9 units away from point A (9, -2). Therefore, your answer is correct.