Answer: 
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Work Shown:
Focus entirely on triangle ABD (or on triangle BCD; both are identical)
The two legs of this triangle are AB = 8 and AD = 8. The hypotenuse is unknown, so we'll say BD = x.
Apply the pythagorean theorem.

So that's why the diagonal BD is exactly
units long
Side note: 
Answer:
y<=-3x-3
Step-by-step explanation:
m=y2-y1/x2-x1
m=-6-3/1-2
m=-3
y-y1=m(x-x1)
y-3=-3(x-(-2))
y-3=-3x-6
y=-3x-6+3
y=-3x-3
we change the equal sign to a "less than or equal to" sign to get the final answer of y <= -3x-3
First of all, x =-1 (y don’t change) so first 2 answer is out.
Now mirror to x-1 >>>
A(0,-1)
0 >> -1 is left one step so -1 left one step is -2
A(0,-1) >> A’(-2,-1)
A(-5,0)
-5 >> -1 is right 4 step so -1 right 4 step is 3
A’(3,0)
This is correct
Answer is D
You can see explain here:
https://youtu.be/Zro30Ui9FXs
One piece at a time:
4(p+2) means 4 times everything inside the parentheses.
That's
4(p) + 4(2) = 4p + 8 .
3(2p-3) means 3 times everything inside the parentheses.
That's
3(2p) + 3(-3) = 6p - 9 .
Now add everything up:
4p + 8 + 6p - 9 .
Add all the p's together: 4p + 6p = 10p
Add all the plain numbers together: 8 - 9 = -1
The final result is: 10p - 1 .
Roots = 2, 4
A.O.S = 3.
The zeroes are where the parabola will meet the x-axis. The axis of symmetry pretty much just splits your parabola equally in half.