We first start by finding the actual coordinates of the pre - image's point S.
Assuming the x and y axis count by 1s, as there is no labels, we can conclude that:
The point's x coordiate is 4 to the left from the origin, or -4.
The point's y coordinate is 4 up from the origin, or 4.
So, the coordinates of Point S is (-4, 4).
Next, we apply the translation rule for a 90 degree counterclockwise rotation to the point's coordinates. The rule is (x, y) --> (-y, x). Using this rule on our coordinates, we get:
(-4, 4) --> (-4, -4)
So, the new coordinates of point S prime after a 90 degree counterclockwise rotation are (-4, -4).
I think it’s b yes it’s right
Width of the rectangle is x + 3 in
Step-by-step explanation:
- Step 1: Given area of the rectangle = 3x² + 9x in². Length = 3x in. Find width.
Area = length × width
3x² + 9x = 3x × width
∴ Width = 3x² + 9x/3x = x + 3 in
