Answer:
The other end point is: s+ti = 3+9i
Step-by-step explanation:
Mid-Point(M) in the complex plane states that the midpoint of the line segment joining two complex numbers a+bi and s+ti is the average of the numbers at the endpoints.
It is given by: 
Given: The midpoint = -1 + i and the segment has an endpoint at -5 - 7i
Find the other endpoints.
Let a + bi = -5 -7i and let other endpoint s + ti (i represents imaginary )
Here, a = -5 and b = -7 to find s and t.
then;
[Apply Mid-point formula]
On comparing both sides
we get;
and 
To solve for s:
or
-2 = -5+s
Add 5 to both side we have;
-2+5 = -5+s+5
Simplify:
3 = s or
s =3
Now, to solve for t;
2 =-7+t
Add 7 to both sides we get;
2+7 = -7+t+7
Simplify:
9 = t
or
t =9
Therefore, the other end point (s+ti) is, 3+9i
Given :
Fresh Farm: $4.50 for 5 lbs
Fruit Garden: $1/5 for 1/3 lb
Mother Nature: $4 for 5 lbs
Country Market: $0.85 per pound
To Find :
Which store offers the lowest unit rate for cantaloupes, in dollars per pound.
Solution :
Dollar per pound of each store :
Fresh Farm : 4.50/5 = $0.9 per pound
Fruit Garden: (1/5)/(1/3) = $0.6 per pound
Mother Nature: 4/5 = $0.8 per pound
Country Market: $0.85 per pound
From above we can see that Fruit Garden offers lowest unit rate.
Hence, this is the required solution.
Answer:
you need 8 bins because 150/20 is 7.5 but you can't have half a bin and you need somewhere to put the other books
To get the probability of two individual events both occurring,
you have to multiply the probabilities of their individual events occurring. Therefore
in this problem, the probability that a student selected at random will pass
both French 101 and French 102 is 0.683 (.75 x .91). The answer is already
rounded to three decimal places.
Honestly, I have no idea what it means by decomposition, but this is my best bet on what it means: Dividing the polygon into smaller, easier sections and solve for area and add them up.
