Answer:
No solution.
Step-by-step explanation:
The equation 2x + 8 = 2(x + 5) has no solution as we see if we simplify it:
2x + 8 = 2x + 10
2x - 2x = 10 -8
0 = 2 which is absurd.
Answer:
dilated coordinates are A(-18,-3) and B(-6,-12)
Step-by-step explanation:
distance of new segment is 15 units
distance formula = 
Answer:
Step-by-step explanation:
24/3 - 4
8 - 4 = 4
Answer:
There are 685464 ways of selecting the 5-card hand
Step-by-step explanation:
Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.
In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have
possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.
This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.