1) reflect across x=-4 essentially calculate the difference between the x=-4 line and Px and "add" it in the other direction to x=-4 A(-4-(3-(-4)),0)=A(-11,0) B(-4-(1-(-4)),-2)=B(-9,-2) C(-4-(3-(-4),-5))=C(11,-5) D(-4-(7-(-4)),-1)=D(-15,-1)
3) clockwise 90° rotation around (0,0), flip the x&y coordinates and then decide the signs they should have based on the quadrant they should be in A(0,-3) B(-2,-1) C(-5,-3) D(-1,-7)
D) Dilation at (0,0) with scale 2/3, essentially multiply all coordinates with the scale, the simple case of dilation, because the center point is at the origin (0,0) A((2/3)*3,(2/3)*0)=A(2,0) B((2/3)*1,(2/3)*-2)=B(2/3,-4/3) C((2/3)*3,(2/3)*-5)=C(2,-10/3) D((2/3)*7,(2/3)*-1)=D(14/3,-2/3)
B for Brats and H for Hamburgers 3 total for each of 30 guests B + H = 3x30 = 90 Then $1.25B + $0.75H <= to $120 Solving for B=90-H 1.25B + 0.75(90-B) <=120 yields cost of B is $52.50 so B = 42. 90-42 = 48 H So you can buy 42 Brats and 48 Hamburgers
