Answer:
number a is correct answer
-3d/(d^2-2d-8) + 3/(d-4) = -2/(d+2)
factor
-3d/(d-4) (d+2) +3/(d-4) = -2/(d+2)
multiply by (d-4)(d+2) on each side
(d-4)(d+2)[-3d/(d-4) (d+2) +3/(d-4)] = (-2/(d+2))*(d-4)(d+2)
distribute
-3d +3(d+2) = -2(d-4)
distribute
-3d +3d+6 = -2d+8
combine like terms
6 = -2d+8
subtract 8 to each side
-2 = -2d
divide by -2
1 =d
Answer:
That's the way it should be graphed
Slope-intercept form is y = mx + b
So we can manage to do this:
(y - yo) = m.(x - xo)
Where (x, y) and (xo, yo) are points of this line, this way we can discover the slope.
(7 - 2) = m.(1 - 0)
5 = m
m = 5
So,
y = 5x + b
Now we still have to use (y - yo) = m.(x - xo), but this time we will put only 1 point and the slope.
(y - yo) = m.(x - xo)
(y - 2) = 5.(x - 0)
y - 2 = 5x
y = 5x + 2
So, this is the line in slope-intercept form.
The area of the circle is πr², ie. 144π.
The volume of the cilinder is 12×144π = 1728π cm³.
I vote for answer A.
