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).
Yes, it is also a square number
90 is the largest integer
We know that 20% of the first type of juice is pure fruit juice and 45% of second type of juice is pure fruit juice.
Now we have to make 30 pints of a mixture that is 35% pure.
Let x be the number of pints of first type of juice and y be the number of pints of second type of juice.
So, 
(Equation 1)
Since, 20% of x + 45% of y = 35.3% of 30
(Equation 2)
Solving equations 1 and 2,
we get y=18 and x=12.
So, 12 pints of first type of juice and 18 pints of second type of juice are used.
