Answer:
the answer is 1100..........
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)
Answer:
x = 1, 2, 3, 4
Step-by-step explanation:
15x - 43 < 5x + 2
15x - 5x - 43 < 2
15x - 5x < 2 + 43
10x < 45
x < 4.5
x = 1, 2, 3, 4
Answer:
Step-by-step explanation:
classs 1, because higher number has a better chance of giving higher number
Answer:
-12.5%
Step-by-step explanation:
A percentage change is computed using ...
percent change = ((new amount) -(original amount))/(original amount) × 100%
We want to find the percentage change from 4.8 m, so we have ...
percent change = (4.2 -4.8)/4.8 × 100% = -.6/4.8×100% = -12.5%
The carpenter made the track 12.5% too short.
