Triangle LMN is reflected across a line, L = (12, –7), and L’ = (–7, 12). What is the line of reflection? A) the x-axis
B)the y-axis
C)the line y = x
D)the line y = –x

D) the line y=-x.

Step-by-step explanation:

Since both the coordinates were flipped with the signs (-7 to 12 and 12 to -7), the line must be reflected over y=-x.

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i