Answer:
15
Step-by-step explanation:
Rate of change or slope or gradient of a line passes two points (x1, y1) and (x2, y2) could be calculated by:
(y2 - y1)/(x2 - x1)
=> Rate of change of the line passing (1,15) and (3,45):
(45 - 15)/(3 - 1) = 30/2 = 15
#1
The ALTITUDE is
a line segment that connects a vertex of a triangle to a point on the
line containing the opposite side, so that the line segment is perpendicular to that line.
#2
The MEDIAN a line segment that connects a vertex of a triangle to the midpoint of the opposite side
9x-22=23+4x
Now you subtract 4x from both sides to get the variable on one side..
5x-22=23
Now solve as you would solve a 2 step equation.
5x=45
Divide both sides by 5 to get the variable by itself.
x=9
F(4) value is 6.
I believe it would work like this:
f(x) is being turned into f(4), so 4 would equal x. Put 4 into the equation 3x-6, and you get 12-6, which gives you 6. So the value of f(4) is 6. I hope this helps!
Answer:
-2n²
Step-by-step explanation:
Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
To find the value of a we just divide second difference ( -4 ) by 2:
Now we have:
Substitute 
and 
into the equation above:
Since 
= -2 and 
= -8 , after simplification we have:
The solution of this system is:
The general term is :
