Answer:

Step-by-step explanation:
The vertex form of an absolute function is
.... (1)
where, (h,k) is vertex.
The given function is

The vertex of the function is (-2,0).
It is given that graph of f(x) is translated 4 units to the right. So, the vertex of the function after translation is (2,0).
Substitute h=2 and k=0 in function (1).


Therefore, the required function is
.
Answer: The correct answer is 11 miles.
Step-by-step explanation: In order to solve this problem you need to replace y with $27.
27 = 2x + 5
Subtract 5 from each side:
22 = 2x
Divide both sides by 2:
11 = x
Therefore, she has enough money to travel up to 11 miles.
Answer:
A) 1 : 4
B) 1 : 2
C) Base of M = 10 units
Step-by-step explanation:
A)
The ratio of the area of triangle M to triangle N
B)
The ratio of the side lengths of triangle M to triangle N
C) Let the base of triangle M be b units.

Answer:
y= 0x+4
Step-by-step explanation:
This is a horizontal line, since both coordinate pairs end in 4, so the slope is 0. The y-intercept is 4 because each point is 4.
Answer:
The solution of given equation 5(x - 6) = 2(x + 3) is given by,
x = 12
Step-by-step explanation:
It is given that,
5(x - 6) = 2(x + 3)
<u>To find the solution of given equation</u>
5(x - 6) = 2(x + 3)
5x - (5 * 6) = 2x + (2 * 3)
5x - 30 = 2x + 6
5x - 2x = 6 + 30
3x = 36
x = 36/3
x = 12
Therefore the solution of given equation is,
x = 12