Question

Find the coordinates of the points that are 10 units away from the origin and have a y-coordinate equal to -6.. (smallest x value, and largest x value)

Answer 1

Formula for the distance between two coordinates:
d = $\sqrt{(x1-x2) ^{2} +(y1-y2) ^{2} }$
$10 = \sqrt{(x-0)^{2}+ ( -6-0) ^{2} } \\ 100 = x^{2} +36$
x² = 100-36
x² = 64
Answer:
x = - 8 (smallest x-value) and x = 8 (largest x-value)