Answer:
The positive difference between the a values is 0.5
Step-by-step explanation:
we know that
Both parabolas cross the x axis at (-4,0) and (6,0)
so
The general equation is

<em>Find the value of a in the first parabola</em>
The y-intercept is (0,-12)
so
For 
substitute




<em>Find the value of a in the second parabola</em>
The y-intercept is (0,-24)
so
For 
substitute




<em>Find the positive difference between the a values for the two functions</em>
so

Answer:
the formula for a function d(x) that describes the distance is 
Step-by-step explanation:
We are going to define final point
, and initial point
, then we can use
, so we obtain
, by developing it 
This formula describes the distance between those two points and involves x
3(2a+1)=-5(a+6)
First expand the brackets.
6a+3=-5a-30
Now add 5a to both sides.
11a+3=-30
Then subtract 3 from both sides.
11a=-33
Finally divide both sides by 11.
a=- 33/11
=-3
Answer:
35
Step-by-step explanation:
3x=81+24
3x=105
x=35