Answer:
T"(6,-4)
Step-by-step explanation:
Given the point T at T(-6,4). If the coordinate rotates about the y-axis, the new coordinates T'y is expressed as:
T(x,y) = T'y(-y,x)
This means that, x = -y and y = x
From the coordinate T(-6,4),
x = -6 and y = 4
New coordinates will be T'(-y, x)
T' = (-4, -6)
x1 = -4, y1 = -6
If the coordinates is rotated again about the x axis, the new coordinates will be (-y1,x1)
T''(-y1,x1) = T''(-(-6), -4)
T"(-y1,x1) = T"(6,-4)
Hence the coordinates of point T" after RyRx is T"(6,-4)
