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:
225
Step-by-step explanation:
i used a calculater and did 90 divided by .40
Answer:
11.06 meters
Step-by-step explanation:
Given that
The height of a regulation soccer goal is 2.4 meters
And, the distance is 10.8 meters
We need to find out the hypothesis
Here we applied the pythagoreans theorem
So,
= √ (2.4m) ^2 + (10.8 m) ^2
= √5.76 m^2 + 116.64m^2
h = 11.06 m
Hence, the hypothesis is 11.05 meters
Nothing, it's just your foot. So if going to ask a question make it reasonable. OK?
Answer:
The inverse is g(x)=-x+5.
Both f and g have domain and range all real numbers.
In interval notation that is 
Step-by-step explanation:
f(x)=-x+5 is a linear function.
Since isn't f(x)=constant then it is diagonal so this means the range is all real numbers.
For any linear function, the domain will be all real numbers.
So to find the inverse of y=-x+5, you interchange x and y and resolve for y.
y=-x+5
(interchange)
x=-y+5
(solve for y)
Subtract 5 on both sides:
x-5=-y
Multiplying both sides by -1:
-x+5=y
So the inverse is g(x)=-x+5. To find find the domain and range of the inverse function given you already did it for the original function, the sets are swapped. The sets were the same here because they were both all real numbers.
