Choose the right symbol: <,>,= a)3- ... -8 b) -4 ... 10 c) 0 ... -1 d) +3 ... 0 e) -5 ... -|-5|
1 answer:
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Answer:
1. reflection across x-axis
2. translation 6 units to the right and 3 units up (x+6,y+3)
Step-by-step explanation:
The trapezoid ABCD has it vertices at points A(-5,2), B(-3,4), C(-2,4) and D(-1,2).
First transformation is the reflection across the x-axis with the rule
(x,y)→(x,-y)
so,
- A(-5,2)→A'(-5,-2)
- B(-3,4)→B'(-3,-4)
- C(-2,4)→C'(-2,-4)
- D(-1,2)→D'(-1,-2)
Second transformation is translation 6 units to the right and 3 units up with the rule
(x,y)→(x+6,y+3)
so,
- A'(-5,-2)→E(1,1)
- B'(-3,-4)→H(3,-1)
- C'(-2,-4)→G(4,-1)
- D'(-1,-2)→F(5,1)
7.211; Starting from the left to right, x1=3 x2=7, y1=2 y2=8. Plug these in to the distance formula
(7-3)^2+(8-2)^2
(4)^2+(6)^2
16+36
sqrt 52
7.211