Reflect (-5,3) over the x-axis. Then translate the result down 2 units. What are the coordinates of the final point?

(-5, -5)

Step-by-step explanation: Reflection is a transformation in which there is a flip of the figure, object or point.

In our case, the point is reflected over the x-axis. When this happens, the y-coordinate of the point "flips", turning negative. So, thepoint reflected over the x-axis is (-5, -3).

Translation is also a transformation. In this transformation, the object figure or point moves a fixed distance, without changing the shape. When it is translated horizontally, the x-coordinate changes: if it is to the right, we add units; if it is to the left, we subtract units.

When the translation is vertical, the y-coordinate changes: if it is up, add units; If it's down, subtract units.

After the reflection, the now point (-5, -3) is translated down 2 units. Then, the change will be:

(-5, -3) = (-5, -3-2) = (-5, -5)

The final coordinates for the point, after reflection and translation, is (-5,-5).

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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