ANSWER
D. a vertical translation of f(x) four units downward
EXPLANATION
The given function are:
f(x)=|x|
and
g(x)=|x|-4.
We can rewrite g(x) in terms of f(x) to obtain:
g(x)=f(x)-4.
This means that, if the graph of f(x) is translated 4 units down, we obtain the graph of g(x).
Hence g(x) is a vertical translation of f(x) four units downward.
The correct choice is D.
Answer:
units.
Step-by-step explanation:
The adjacent sides of a kite are equal.

Triangle PQT is a right triangle.
From the Pythagoras Theorem;






units.
To get the full project, we can multiply by two.
2/12 x 2 = 4/12
This can be simplified
4/12 = 2/6 = 1/3
So the entire project will need 1/3 of the poster board.
Answer:
Step-by-step explanation:
length is 13 units
width is 2 units
area is 26 square units
area of triangle is 13 square units
Answer:
Line m is not parallel to Line n.
Line m is perpendicular to Line k
Step-by-step explanation:
1. Calculate slopes of n and m. N = -2 and M = -7/4. The two slopes aren't the same thus they are not parallel
2. Slope of m = -7/4 and k = 4/7. By definition of perpendicular these two fit the description. (to be perpendicular, k = -1/m