
Substitute this into the parabolic equation,

We're told the line
intersects
twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

We can tell from the quadratic equation that
has its vertex at the point (3, 6). Also, note that

and

so the furthest to the right that
extends is the point (5, 2). The line
passes through this point for
. For any value of
, the line
passes through
either only once, or not at all.
So
; in set notation,

Okay so we just need to find out the pattern...
in this case the pattern is adding..
we did
1 + 4 = 5
2 + 5 = 12
we figure this one out by adding 2 and 5 twice so it look like this
2 + 5 + 5 = 12
now moving on to our next one
3 + 6 = 21
so we added 3 and added 6, three times so look
3 + 6 + 6 + 6 = 21
so now
8 + 11 = 96 because we added 8 and added 11, eight times look..
8 + 11 + 11 + 11 + 11 + 11 + 11 + 11 + 11 = 96
so our answer to 8 + 11 is 96!
hope this helps:)
and don't forget 2
MARK ME BRAINLIEST! :D
Expression would be
46 - 2v
Not sure what the question is
But 1/4 as a decimal gives us 0.25
Well on this problem recall area of a rectangle is defined by:
A = lw our w = 1/6 and our l = (x +

) we have let 'x' represent our original length.


12x + 8 = 11
12x = 11 - 8
12x = 3
x =

So our original length is