<span>4x^2 + 24x + 32 = 4(x^2 + 6x + 8)
6/2 = 3 so:
= 4( (x+3)^2 - 3^2 + 8 )
= 4( (x+3)^2 - 9 + 8)
= 4( (x+3)^2 - 1)
= 4(x+3)^2 - 4
vertex will be the minimum point, so: now,
4(x+3)^2 - 4 is at a minimum when x = -3 because it makes the stuff being squared equal to 0 so we know the x cord of vertex
is -3 the y cord is the constant on the end, -4
Hope this helps</span>
That woman's days were spent
In ignorant good-will,
Her nights in argument
Until her voice grew shrill.
What voice more sweet than hers
When, young and beautiful,
She rode to harriers?
This man had kept a school
And rode our wingèd horse;
This other his helper and friend
Was coming into his force;
He might have won fame in the end,
So sensitive his nature seemed,
So daring and sweet his thought.
This other man I had dreamed
A drunken, vainglorious lout.
He had done most bitter wrong
To some who are near my heart,
Yet I number him in the song;
He, too, has resigned his part
In the casual comedy;
He, too, has been changed in his turn,
Transformed utterly:
A terrible beauty is born.
The answer would be That woman's days were spent
In ignorant good-will,
Aristotle built his ideas on Logic
Answer:
When I was in sixth grade I was one a sea saw and went flying forward on it and cut my head above my eye on the edge and had to get stitches
Explanation: