Look at h(x) = |x-9|. The vertex of this absolute value function graph is at (9,0).
Sometimes it helps to work on a simpler problem first, which is why I've introduced h(x) = |x-9|.
The vertex of g(x)=|x-9|+3 is 0+3, or 3; we translate the entire graph of g(x)=|x-9| upward by 3 units. Thus, the vertex of g(x) is (9,3).
Answer:
D. 7.8 miles.
Step-by-step explanation:
So, to solve this, you need to use the Pythagorean theorem to find the distance from the baseball field to his home. You know two of the sides of the triangle formed, 6 and 5. The Pythagorean theorem is a² + b² = c². In this case, it would be 6² + 5² = c². If you solve this, you would find that c is 7.81024967591. Just round it to the nearest tenth like instructed. This would get you 7.8 as the answer.
Extra work just in case:
6² + 5² = c²
36 + 25 = c²
61 = c²
= 
7.8 ≈ c
Visual just in case:
4,8,12,16,20,24,28,32,36,40,44,48
Answer:
x + 2y = -8 = y = -4 - 1/2x
y= -1/2x + 4 = y = 4
y= -1/2x - 4 = y = -4
y=-2x - 4 = y = -4
y=1/2x-4 = y = -4
Step-by-step explanation:
(x + 2y = -8 = y = -4 - 1/2x)

Answer:
Step-by-step explanation:
eq. of line parallel to AB is y=2x+a
if it passes through (3,-2) then
-2=2×3+a
a=-2-6=-8
y=2x-8