Answer:
If isomorphism exists between two groups, then the identities correspond, i.e. if f:G→G′ is an isomorphism and e,e′ are respectively the identities in G,G′, then f(e)=e′.
Answer:
50.3? im not exactly sure if this is right
Answer:
B
Step-by-step explanation:
Let point N has coordinates (0,0), then figure A has vertices at points (-3,0), (-7,0), (-7,4) and (-3,4). Figure B has vertices at points (3,1), (7,1), (7,-3) and (3,-3).
1. Translation 10 units to the right has the rule
(x,y)→(x+10,y).
Then vertices of the figure A have images:
- (-3,0)→(7,0);
- (-7,0)→(3,0);
- (-7,4)→(3,4);
- (-3,4)→(7,4).
2. Translation 3 units down has the rule
(x,y)→(x,y-3).
Then images are
- (7,0)→(7,-3);
- (3,0)→(3,-3);
- (3,4)→(3,1);
- (7,4)→(7,1).
As you can see these points are exactly the vertices of the figure B.
Answer:
3x + 12
Step-by-step explanation:
I got this answer because since 8x and -5x are like terms, you are able to subtract them from each other. 8x-5x is 3x. Since you cant add 12 to 5x because they aren't like terms, you leave the expression as it is right now. Finally, your answer is 3x + 12.
Hope I helped! Have a good day.