You want the (positive) distance when the height is 0, 0= -d^2 + 10d +5.
You would factor that out(You'd get radicals), and the final answer would be
<span>5±<span>30<span>−−</span>√</span></span><span>
You'd take the only positive one of the two, 5 + srt(30)
I hope I did that right :/</span>
Answer:
the answer is c) 182.25
Step-by-step explanation:
The information provided gives you a scale that will ultimately allow you to determine the height of the larger cylinder.
Since it tells us the two are similar, we can use the scale to solve for the second height.
Set up your math like this:

h represents the height you are trying to find.
using a common multiple, you can solve for h.
16 times 4 is 64. so 729 divided by 4 is 182.25
I first plotted the three points and from from their position it was clear which pairs to join to start a rectangle.
At this point you need to check to make sure the angle at B is a right angle. Find the slope of the line segments AB and BC and check that the product of the slopes is -1.
From the diagram you can now see where the fourth point D has to be. If AB and CD are parallel then D must be 3 units to the left of C and 2 units above C. Find the coordinates of D and then check by finding the slopes of CD and DA and showing that the angle at D is a right angle.
I hope this helps
Step-by-step explanation:
.................. Rotation