Answer:
We need the following three rigid motions:
i) Reflection around y-axis, ii) Translation three units in the -y direction, iii) Translation four units in the -x direction.
Step-by-step explanation:
We need to perform three operations on pentagon ABCDE to create pentagon A'B'C'D'E':
i) Reflection around y-axis:
(Eq. 1)
ii) Translation three units in the -y direction:
(Eq. 2)
iii) Translation four units in the -x direction:
(Eq. 3)
We proceed to proof the effectiveness of operations defined above by testing point D:
1) Given.
2) By (Eq. 1)
3) By (Eq. 2)
4) By (Eq. 3)/Result
3(2a-5) = 12-7a
6a-15=12-7a
6a+7a=12+15
13a= 27
27=3c-3(6-2c)
27=3c-18+6c
27+18=3c+6c
45=9c
C=45/9
C=5
6c-8-2c=-16
6c-2c=-16+8
4c=-8
C=-8/4
C=-2
Answer:
8.444444444 or 76/9
Step-by-step explanation:
Answer:
12 : 4.92
Step-by-step explanation:
a= apples
12a=4.92
12 : 4.92
Answer:
- 75 - 32y
Step-by-step explanation:
2y-3[3-4(y-5)+2(1-3y)]
= 2y - 3(3 - 4y + 20 + 2 - 6y)
= 2y - 3(25 - 10y)
= 2y - 75 - 30y
= - 75 - 32y
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