X + 2y = -8
Subtract 'x' to both sides:
2y = -x - 8
DIvide 2 to both sides:
y = -1/2x - 4
Slope is -1/2, not 1.
This is the theory of algebra, to simply the expression we proceed as follows;
[sqrt(x-2)+5/sqrt(x-2)]/(x-2)
simplifying the numerator we get:
sqrt(x-2)+5/sqrt(x-2)
=[x-2+5]/sqrt(x-2)
=(x+3)/sqrt(x-2)
therefore our entire expression will be:
[(x+3)/sqrt(x-2)]/(x-2)
[(x+3)/(x-2)^(1/2)]*1/(x-2)
applying the law if indices we get
=(x+3)/(x-2)^(3/2)
I think the answer is B! Hope this helps!
Answer is 43 degrees for #6, and selection C for #7
