Work out the area of this circle, take n/pi to be 3.142 and give your answer to 2 decimal places.

Step-by-step explanation:

Area of a circle is pi r squared.

So 3.142 times the radius squared.

They gave you the diameter(d), that's the distance all the way across.  You need the radius(r), which is one half of the diameter.  7 divided by 2.

3.142X3.5squared=

Well, 3.5 squared is 3.5X3.5=12.25

So, then 3.142X12.25=38.4895

Now, we round.  Second decimal place is an eight, followed by a nine.  Five or above means round up.

38.49

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

(-5,-28)

i graphed to on desmos.