Answer:
C. the graph of g(x) is shifted 3 units up.
Step-by-step explanation:
The statement that compares the graph of g(x) with the graph of f(x) is that the graph of g(x) is shifted 3 units up.
If we have the equation:
G(x) = F(x) + 3
Then, the graph of G(x) will be composed of points 3 units above the graph of F(x).
Conversely, the difference between F(x) and G(x) at any particular value of x will always be 3.
Answer:
EQUILATERAL TRIANGLE
Step-by-step explanation:
Answer: 32 inches
Step-by-step explanation:
Since all the interior angles in a rectangle are right angles.
Therefore, the triangle which is formed by the diagonal and the shorter side of the tile with the longer side will be right triangle.
By trigonometry, in right triangle

let x be the smaller side.
Therefore,

The perimeter of the rectangular tile= 
Answer:
y = 1/3x - 8
Step-by-step explanation:
First you solve:
3x + y = - 5
Then subtract x since we're looking for y on both sides of the ( = ):
3x + y = - 5
-3x -3x
Making it:
y = -3x - 5
and then you make the slope ( m ) positive , like so :
1/3
then set up the equation :
y - y1 = m ( x - x1 )
and fill in the points they gave you :
( 3, -7 )
^x1 ^y1
Like this :
y - y1 = m ( x - x1 )
y + 7 = 1/3 ( x - 3 )
y + 7 = 1/3x - 1
-7 -7
y = 1/3x - 8
( If you have the calculator for it , you could always put the equation in and check if it goes through the point )
Domain from 1 to 6
Range from 1 to 4