Let x be the <span>heights of a maple tree and y be the height of the cherry tree.
We know:
</span>

<span>The new ratio is obtained like this:
</span>

.
From the above equation we get

.
then

Solving the above equation for y we get:

So
So the first tree is (400-160=240) more taller than cherry tree.
You're looking for the volume of the prism. The dead giveaway there is that you're looking for "cubic" measurement. Cubic measures are indicators that the volume is being determined, just like "square feet" or inches, etc indicates area is being determined. The volume for this prism is found by multiplying the length times the width times the height. In decimal form, 45×30×40=54,000. But that is in cubic inches and we want cubic feet. So we will use dimensional analysis to convert that. Setting up the DA looks like this, keeping in mind that there are 12 cubic inches in 1 cubic foot:

. The label of cubic inches cancels out leaving us with cubic feet, and doing the division there gives us 54,000/(12*12*12) which is 31.25 cubic feet.
Answer:
y+3 = 1/2 (x-4)
Step-by-step explanation:
We can write the equation in point slope form
y-y1 = m(x-x1)
The slope is m and the point is (x1,y1)
y - -3 = 1/2(x -4)
y+3 = 1/2 (x-4)
a = 4, b = -21, c = -18
to keep from getting "mixed up", evaluate the discriminant first ...
b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729
sqrt(729) = 27
x = (21 +/- 27)/8
x = -3/4, x = 6
since the discriminant is a perfect square, the original quadratic will factor ...
4x<sup>2</sup> - 21x - 18 = 0
(4x + 3)(x - 6) = 0
x = -3/4, x = 6