- Simplify both sides of the equation
=>x+5+4−5=x+54
=>x+5+4+−5=x+54
=>(x)+(5+4+−5)=x+54(Combine Like Terms)
=>x+4=x+54
=>x+4=x+54
- Subtract x from both sides
=>x+4−x=x+54−x
=>4=54
- Subtract 4 from both sides
=>4−4=54−4
=>0=50
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
Answer:
X^2-18x+81
OR
(X-9)^2
Step-by-step explanation:
X(x-9)-9(x-9)=
x^2-9x-9x+81
X^2-18x+81
Therefore the reminder is 3 when 5n is divided by 7.
Step-by-step explanation:
we know that
Dividend = quotient × Divisor +Reminder
⇔ n = Q(n) × 7 + 2 [ let Q(n) is quotient]
multiplying by 5 both sides
5n = 5 Q(n) ×7 + 2×5
⇔5n = 5 Q(n) ×7 +10
⇔5n= 5 Q(n) ×7 +7 +3
⇔ 5n = (5Q(n) +1) × 7 +3
Therefore the reminder is 3 when 5n is divided by 7.
Answer:
$162.50
Step-by-step explanation:
I=Prt
I=(5000)(0.065)(0.5)
I=162.50
0.5 = 6 months, which is half of a year
0.065 = the percent (6.5%) in decimal form