What is 2(x -3) = 7 (x+24)
2 answers:
Answer:
x=34.8
Step-by-step explanation:
First thing you gotta do is distribute the parenthesis.
2(x-3)= 2x-6
7(x+24)=7x+168
2x-6=7x+168
Next, we simplify our equation and subtract 6 from both sides, along with subtracting 7x from both sides.
2x-6=7x+168
+6 +6
2x=7x+174
-7x -7x
-5x=174
Our final step is to divide both sides by -5.
x=34.8
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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)
