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
Only if the individual doing the calculation makes a substantial mistake.
Any fraction with the same quantity in the numerator and denominator
always has the value of ' 1 ', (provided only that the quantity is not zero).
Answer: 54
Step-by-step explanation:
63-9 you can't take 9 away from 3 so you must borrow, the 6 becomes a 5 and the 3 becomes 13. 13-9 is 4, bring the 5 down and you have 54.
Answer:
Step-by-step explanation:
- 7m ÷ 2 = 3.5m
- Part A: New square is 3.5-meter by 3.5-meter
- The original square's perimeter is 7x4=28-meter.
- The new square's perimeter is 3.5x4=12-meter
- Part B: The ratio is 12:28 or 3:7
- The original square's area is 7²=49 meter²
- The new square's area is 3.5²=12.25 meter²
- Part C: The ratio is 49:12.25
Answer:
6
Step-by-step explanation:
Given that f(3), x=3.
Since f(x) = 2x, we plug in 3 for x, and get 2 times 3. Therefore, the answer comes out to 6.