Answer:
1/5
Step-by-step explanation:
hope this helps!
Answer:
(7, -4.5)
Step-by-step explanation:
25−x=−4y ---> x=25+4y
3x−2y=30
use x to substitute into the second equation
3 (25+4y)-2y = 30
75+12y-2y=30
75+10y=30
10y=-45
y=-4.5
3x-2(-4.5)=30
3x+9=30
3x=21
x=7
check:
25-7=-4*-4.5
18=18 (yes)
3*7-2*-4.5=30
21+9=30
30=30 (yes)
Given:
A(3,0)
B(1,-2)
C(3,-5)
D(7,-1)
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)
2) translate (x,y)->(x-6,y+8)
A(-3,8)
B(-5,6)
C(-3,3)
D(1,7)
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)
3/4 is greater hope that helped
