X is 90 degrees and Y is 43 degrees
1. You want to find factors of 4×(-49) that add to 21. Those would be +28 and -7. Replacing the term 21g with the sum 28g -7g, we get an expression that can be factored by grouping.
... (4g² +28g) + (-7g -49)
... = 4g(g +7) -7(g +7) = (4g-7)(g+7)
2. After you factor out 5, you have 5(64y² -16y -15). As in the previous problem, you're looking for factors of 64×(-15) = -960 that sum to -16. There are 14 factor pairs of 960, so it can take a little bit of effort to find the right pair. That pair is -40 and 24. As in the previous problem you replace the term -16y with the sum -40y +24y and factor by grouping.
... = 5(64y² -40y +24y -15) = 5(8y(8y -5) +3(8y -5))
... = 5(8y +3)(8y -5)
3. False. It is perhaps easiest to check this by multiplying out the offered factors. Doing that gives you 36k² -36k +8k -8. The collected k terms add to -28k, not -44k.
Answer:
b. 56
Step-by-step explanation:
Please consider the complete question.
There are 8 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible?
We will use combinations for solve our given problem.
, where,
n = Number of total items,
r = Items being chosen at a time.
For our given scenario
and
.





Therefore, 56 different subcommittees are possible and option 'b' is the correct choice.
254 is the answer 2,540• 10 gives ur answer to 254
Answer:
9.219544457292887
Step-by-step explanation:
Use distance formula
√(−5−2)^2+(−3−3)^2
√(−7)^2+(−6)^2
√49+36
√85
√≈9.219544457292887
Hoped this helped!
: )