Answer:
the slope is 1
Step-by-step explanation:
the number of elements in the union of the A sets is:5(30)−rAwhere r is the number of repeats.Likewise the number of elements in the B sets is:3n−rB
Each element in the union (in S) is repeated 10 times in A, which means if x was the real number of elements in A (not counting repeats) then 9 out of those 10 should be thrown away, or 9x. Likewise on the B side, 8x of those elements should be thrown away. so now we have:150−9x=3n−8x⟺150−x=3n⟺50−x3=n
Now, to figure out what x is, we need to use the fact that the union of a group of sets contains every member of each set. if every element in S is repeated 10 times, that means every element in the union of the A's is repeated 10 times. This means that:150 /10=15is the number of elements in the the A's without repeats counted (same for the Bs as well).So now we have:50−15 /3=n⟺n=45
Answer:
C. 
Step-by-step explanation:
Let
,
and
. From statement we know that
, which is equivalent to the following linear algebraic formula:
(1)


(2)
Then, the coordinates of point B on AC are:



Which means that correct answer is C.
Answer:
49π / 4
Step-by-step explanation:
πr²
pi x radius²
radius = d ÷ 2 = 3.5
49π / 4
☺️
Answer:
x - 8 ≤ 14
Step-by-step explanation: