Answer:
= 1
Step-by-step explanation:
The n th term of an arithmetic progression is
= a + (n - 1)d
where a is the first term and d the common difference
use the 9 th term and 7 th term to find a and d
= a + 8d = 
→ (1)
= a + 6d = 
→ (2)
Subtract (2) from (1) term by term
2d = 
⇒ d = 
Substitute this value into (2) and solve for a
a + 
=
a = - =
Hence
= + 
= 1
Answer:
The horizontal line is the x-axis and the vertical line is the y-axis.
Step-by-step explanation:
The horizontal line is the x-axis and the vertical line is the y-axis. It's a fact. You can graph the lines by inserting the equations using the graphing calculator, which is the tab next to the one you have right now ;)
Answer:
#6 is called exponent
Step-by-step explanation:
(x,y) is a pair of real numbers. The meaning is: (x,y) is an ordered pair of numbers belonging to R×R=R2 .
Answer:
See explanations below
Step-by-step explanation:
Given the functions
f(x) = 12x - 12
g(x) = x/12 - 1
To show they are inverses, we, must show that f(g(x)) = g(f(x))
f(g(x)) = f(x/12 - 1)
Replace x with x/12 - 1 into f(x)
f(g(x)) =12((x-12)/12) - 11
f(g(x)) = x-1 - 1
f(g(x)) =x - 2
Similarly for g(f(x))
g(f(x)) = g(12x-12)
g(f(x)) =(12x-12)/12 - 1
12(x-1)/12 - 1
x-1 - 1
x - 2
Since f(g(x)) = g(f(x)) = x -2, hence they are inverses of each other
Answer:
The coordinates of P' are (4.8,-4.8).
Step-by-step explanation:
The rule of dilation 
represent the dilation with scale factor 2.4 and center at origin.
If the scale factor of the dilation is k and the center is (0,0), then
Since the scale factor is 2.4, therefore
From the given figure it is noticed that the coordinates of P are (2,-2). The coordinates of P' are
Therefore the coordinates of P' are (4.8,-4.8).
