Question

The vector PQ = ⟨4, 1⟩ describes the translation of A(-1, w) onto A'(2x + 1, 4) and B(8y - 1, 1) onto B'(3, 3z). Find the values of w, x, y and z.

Answer 1

The value of x is 1 based on the translation equation. The value of y is not given in the question. The values of w and z cannot be determined without additional information.

Step-by-step explanation:

To find the values of w, x, y, and z, we need to analyze the given translations. For vector PQ = ⟨4, 1⟩, it indicates that point A is translated to A' by adding 4 to the x-coordinate and 1 to the y-coordinate. Therefore, we have the equation: 2x + 1 = -1 + 4. Solving for x, we get x = 1. Similarly, for point B, we have the equation: 8y - 1 = 3. Since there are no other equations involving w and z, we cannot determine their exact values without additional information.