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
The fundamental difference between the linear and quadratic functions is observed in their respective graphs. A linear function is represented by a straight line and a quadratic function is represented by a curve called a parabola.
See file attached.
Answer: Two planes meet in exactly one point
Two lines meet at exactly two points
Step-by-step explanation:
From the given statements there are two statements which are never true :-
1) Two planes meet in exactly one point .
Since when two line meets , they either meet at one point or infinite points (coincidence) , thus its impossible that they will meet at exactly two points.
2) Two lines meet at exactly two points
Since when two planes meet , the intersection of two plane always make a line not a point. Thus its impossible.
Answer:
f-1(x) = (x-8)/2
Step-by-step explanation:
f(x) = 2x+ 8
y = 2x + 8
replacing y and x
x = 2y + 8
2y = x- 8
y =( x-8)/2
f-1 (x) =( x-8)/2
5h 30m + 6h 6m + 6h 30m = 17 hours and 66 minutes or 18 hours and 6 minutes.
1,110 minutes total.
Hope I helped! :)