Answer:
The value of x = 0
Step-by-step explanation:
Given
To determine
The value of x = ?
If we closely observe the value of the y-coordinate of the image B'(x, 20), we can see that the y-coordinate of the image B' is 4 times the y-coordinate of the original point (0, 5).
i.e. y → 5×4 =20
It means the coordinates of the image B'(x, 20) can be determined by dilating the original point (0, 5) by a scale factor of 4.
Thus, the x-coordinate of B'(x, 20) can also be obtained by multiplying the x-coordinate of B(0, 5) by 4.
i.e. x → 4×0 = 0
Thus, the rule of dilation is:
P(x, y) = P'(4x, 4y)
Hence,
B(0, 5) → B'(4(0), 4(5)) → B'(0, 20)
Thus,
The value of x = 0 ∵ 0×4 = 0
