Answer:
The given equation is -2x^2 = -8x + 8
This can be rewritten as 2x^2 - 8x + 8 = 0
Here the value of a =2, b = -8 and c = 8
Discriminant = b^2 - 4ac
Now plug in the above values in the discriminant, we get
= (-8)^2 - 4*2*8
= 64 - 64
= 0
Here the discriminant is 0, so we will get one real root.
The discriminant is equal to 0, which means the equation has one real number solution.
Hope this will helpful.
Thank you.
First we need the whole garden:
16 x 5 = 80
Now we need to fountain:
5 x 9 = 45
Now to find our answer:
80 - 45 = 35
So our answer is B. 35ft²
She’ll have to make 4 more stitches in order to get 6 good ones. Each time she creates 3 she undoes 2 which after 4 more times would leave her with 6 good stitches.
When 
, we have
and of course 3 | 6. ("3 divides 6", in case the notation is unfamiliar.)
Suppose this is true for 
, that
Now for 
, we have
so we know the left side is at least divisible by 
by our assumption.
It remains to show that
which is easily done with Fermat's little theorem. It says
where 
is prime and 
is any integer. Then for any positive integer 
,
Furthermore,
which goes all the way down to
So, we find that
QED
