Answer: Choice C) {6, 9, 12}
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Explanation:
Something like choice A can't form a triangle because the first two sides add to 6+9 = 15, which is <u>not</u> longer than the third side 15. We need to have x+y > z to be true. The same goes for choice B as well because 3+3 = 6 is too small compared to the third side 7. Choice D is similar to choice A.
In short, we can rule out choices A, B, and D.
The only thing left is choice C. Picking any two sides leads to having that sum be larger than the third side
- 6+9 = 15 which is larger than 12
- 9+15 = 24 which is larger than 6
- 6+15 = 21 which is larger than 9
So the conditions of the triangle inequality theorem work out here, and we have a triangle.
So the lettuce went up by 0.25 or 25c, now, if we take 1.25 to be the 100%, how much is 0.25 in percentage off of it?
Answer:
Step-by-step explanation:The correct answer is:
If you must have the same number of boys and girls in each group, you can have 7 groups.
Explanation:
To do this, we find the Greatest Common Factor (GCF) of 14 and 21. For this, we find the prime factorization of each number:
14 = 2(7)
21 = 3(7)
The only common factor between these two numbers is 7. Thus we can have 7 groups.
(In each group, we would have 14/7 = 2 boys and 21/7 = 3 girls.)
Put the 2 as an exponent of 12: log3(12)^2=log3(144)
log3(144)-log3(16)=log(144/16)=log3(9)=2
logx^2+log(x+1)^(1/2)-logy^3
=2logx+(1/2)log(x+1)-3logy
refer to another of your questions that I just answered.
That's the easily recognizable factored form of
the difference between two squares. Before
factoring, it was
x² - 16 .
