Answer:
B. (2,-5)
Step-by-step explanation:
The vertex of the function can be found in the most lower value that the function can have.
Since we have an ABS function involved we need to analyse it at first
We know that |x| = x if x> 0 and |x| = -x if x< 0
if we now change x by x-2 (the content of our ABS function involved, we have the following
|x-2| = x-2 if x-2> 0
|x-2| = -x+2 if x-2< 0
Those inequaiities have a common solution
x-2=0, this means that x=2 is the lowest value the ABS(X-2) has and it is equals to zero.
So by evaluating x=2 in the given function we will obtain its vertex.
leading to f(2)=6 |2-2|-5= -5
Hence the point (2,-5) is the vertex of our function
Expanded form with parentheses is basically an easier way to add. For instance, lets use 1,492. The expanded form would be (1,000)+(400)+(90)+(2)=1,492.
Answer:
y =2/3x -2
Step-by-step explanation:
The y intercept is -2
The slope is
m = (y2-y1)/ (x2-x1)
Using the points (0,-2) and (3,0)
m = ( 0 - -2)/(3 -0)
= (0+2)/(3-0)
= 2/3
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y =2/3x -2
Answer:
- x = 37
- DG = 22
- AG = 44
- AD = 66
Step-by-step explanation:
We presume your "centroid ratio theorem" tells you that AG = 2·DG, so ...
(x+7) = 2(x -15)
x + 7 = 2x - 30 . . . . eliminate parentheses
37 = x . . . . . . . . . . .add 30-x
Then AG = 37+7 = 44
and DG = 37-15 = 22.
Of course, AD = AG +GD = 44 +22 = 66
