Question

Point K is located at (−17,−17). Points L and M are each 55 units away from point K. Where are L and M located?

a) (−12,−12)
b) (−22,−17)
c) (−12,−17)
d) (−22,−12)

Answer 1

Points L and M are located at (-12, -17) and (-22, -17) (option c and b) respectively.

Step-by-step explanation:

Given that point K is located at (-17, -17) and points L and M are each 55 units away from point K. To find points L and M, you can use the fact that they are equidistant from point K.

Since point L and M are equidistant from point K, they will lie on a horizontal line passing through point K. The x-coordinate of both L and M will be the same as that of K because they lie on the same horizontal line.

To determine the x-coordinate of L and M, add and subtract 55 units to the x-coordinate of point K:

- x-coordinate of L = (-17) + 55 = -12

- x-coordinate of M = (-17) - 55 = -22

As for the y-coordinate, it remains the same as that of point K because L and M are on the same horizontal line.

Therefore, the coordinates of point L and point M are (-12, -17) and (-22, -17) respectively, which corresponds to option c) and b).