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).

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6