Answer:
Step-by-step explanation:Here the slope of the line = m = 2
The line passes through the point (
x
1
, y
1
) = ( , 9
).
The equation of the line with slope m and passing through the point (
x
1
, y
1
) is given by
(
y
- y
1
) = m (
x - x
1
)
(
y - 9
) = 2 ( x - 3
)y - 9 = 2
x - 6
Collecting terms in one side
0 = 2
x - y - 6 + 9
2
x - y + 3 = 0
Hope this helps x
Step-by-step explanation:
The value of k in the equation g(x) = f(x) + k comes out to be 8.
How the vertical shifting of a graph takes place?
If the graph of a function f(x) is shifted vertically by k units, f(x) becomes f(x)+k.
From the diagram, we can say that graph of f(x) has been shifted vertically by 8 units
If we shift f(x) vertically by 8 units f(x) becomes f(x)+8 and also coincides with the graph of g(x).
So, g(x) = f(x) + 8........(1)
Comparing (1) and g(x) = f(x) + k, we get k=8.
Hence, the value of k in the equation g(x) = f(x) + k comes out to be 8.
This would be:-
square root [ (5-0)^2 + (-9 -3)^2) ]
= square root ( 25 + 144)
= sqrt 169
= 13 Answer
Answer:20
Step-by-step explanation:
4(3)2-2(2)
12(2)-4
24-4=20
