Calculate the arc length of GH in terms of pi.
1 answer:
You might be interested in
Answer:
The graph in the attached figure
see the explanation
Step-by-step explanation:
Let
x----> the time in hours
y ----> liters of water remaining in the fish pond
we have
This is the equation of a line in slope intercept form
where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem we have
The slope or unit rate is equal to
----> is negative because is a decreasing function
The y-intercept or initial value is
The graph in the attached figure
Remember that
The y-intercept is the value of y when the value of x is equal to zero
The y-intercept is the point (0,480)
That means----> The initial amount of liters of water in the fish pond was 480 liters before drainage began (for x=0 hours).
The x-intercept is the value of x when the value of y is equal to zero
The x-intercept is the point (8,0)
That means----> The time required to empty the fish pond is 8 hours (for y=0 liters)
Answer:
<em>A. (C+D)^2 is the largest expression</em>
Step-by-step explanation:
<u>Squaring Properties </u>
The square of a number N is shown as N^2 and is the product of N by itself, i.e.
If N is positive and less than one, its square is less than N, i.e.
If N is greater than one, its square is greater than N
We have the following information: C and D represent two different school populations, C > D, and C and D must be positive. We can safely assume C and D are also greater or equal than 1. Let's evaluate the following expressions to find out which is the largest
A. (C+D)^2
Expanding
Is the sum of three positive quantities. This is the largest of all as we'll prove later
B. 2(C+D)
The extreme case is when C=2 and D=1 (recall C>D). It results:
2(C+D)=2(3)=6
The first expression will be
(3)^2=9
Any other combination of C and D will result smaller than the first option
C.
By comparing this with the first option, we see there are two equal terms, but A. has one additional term 2CD that makes it greater than C.
D.
The expression can be written as
(C+D)(C-D)
Comparing with A.
The subtracting factor (C-D) makes this product smaller than A which has two adding factors.
Thus A. is the largest expression