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Point P on the coordinate grid below shows the location of a stage light. A second stage light is 8 units above P. The length of each square on the grid is 2 units. What are the coordinates of the location of the second stage light? A. (4,6) B. (4, -10) C. (12, 6) D. (12, -10)

User Valdas
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Final Answer:

The coordinates of the location of the second stage light, 8 units above Point P, are C. (12, 6).

Step-by-step explanation:

To determine the coordinates of the second stage light, which is 8 units above Point P, we need to consider the vertical direction on the coordinate grid. Since each square represents 2 units, going 8 units above Point P means moving 4 squares up. Point P has coordinates (4, 4), so adding the vertical shift of 4 units brings us to the y-coordinate 4 + 4 = 8. Thus, the y-coordinate of the second stage light is 8.

Now, to find the x-coordinate of the second stage light, we look at the x-coordinate of Point P, which is 4, and it remains unchanged in the vertical shift. Therefore, the x-coordinate of the second stage light is also 4. Combining both coordinates, the location of the second stage light is (4, 8).

However, the options are given in terms of units on the grid, where each square represents 2 units. Therefore, to express the coordinates in the grid units, we multiply both x and y coordinates by 2. Thus, (4, 8) becomes (2 * 4, 2 * 8) = (8, 16). Among the provided answer choices, C. (12, 6) corresponds to (8, 16) when divided by 2, making it the correct answer for the coordinates of the second stage light.

User Plaxdan
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