Answer: Subtract 6 from both sides. Then, one would get 3x=15. Divde by 3 on both sides. x=5.
Step-by-step explanation:
Apply the slope formula as follows:
5-4 1
m = --------- = ---------
7-(-3) 10
Answer:
its the 3rd choice.
Step-by-step explanation:
Firstly, we find angle BDC (180-90-30=60)
Now that we found it we can use the sine rule to find DB (which i put as an x), which is sin60/14=sin30/x, by cross multiplication, we find that its equal to a decimal number, i will use its root version to this easier, its equal to 14sqrt3/3 inches.
And now we use the pythagorean theorem to find DC, we find that it is equal to 28sqrt3/3
Now, we find angle BAC (180-90-(30+15)=45)
Again, we use the sine rule to find AB (whom i will refer to as x and from whom we will subtract DB to find the length of AD), so we cross multiply in sin45/14=sin(30+15)/x, it is equal to 14.
So since AB-DC=AD
14-(14sqrt3/3)= 5.917096231 (and we ound that to a 5.9)
This is a statistics problem on permutation and combination. To differentiate this, permutation involves on the arrangement in which order doesn't matter. For combination, order matters.
For example, if you arrange A, B and C, for permutation it could be AB, BA, CA, AC, BC and CB. But for combination, it would just be AB, AC and BC.
So, in this problem where he is asked to arrange 8 jars in which order doesn't matter. It is permutation. You can solve this just by calculator. The formula would be nPr, where n is the total number of items while r is the number of items to be sorted. Thus,
nPr = 10P8 = 1, 814,400
Thus, the answer is B.
