I knew there was a formula for this, but did not remember it and so had to look it up. The formula is:
A = pi*r*(r + sqrt(h^2+r^2) )
Here, A = 3.14(4 ft)(4 ft + sqrt(36 + 16) = 140.9 square feet.
When in doubt about a formula, look it up!
Functions whose graphs resemble sets of stairsteps are known as step functions.
The most famous of the step functions is the greatest integer function, which is
denoted by:
![f(x)=[x]](https://tex.z-dn.net/?f=f%28x%29%3D%5Bx%5D)
which graph is shown in the Figure below. As you can see from the graph:
![if \ x=-1.8 \ then \ f(-1.8)=[-1.8]=-2](https://tex.z-dn.net/?f=if%20%5C%20x%3D-1.8%20%5C%20then%20%5C%20f%28-1.8%29%3D%5B-1.8%5D%3D-2)
Therefore:
![f(-1.8)=-2[-1.8]+8=-2(-2)+8=\boxed{12}](https://tex.z-dn.net/?f=f%28-1.8%29%3D-2%5B-1.8%5D%2B8%3D-2%28-2%29%2B8%3D%5Cboxed%7B12%7D)
So the right answer is 12
Answer:
y = 2x - 3
Step-by-step explanation:
Slope intercept equation of a line:
y = mx + b
(0, -3) is the y-intercept, so b = -3
We have
y = mx - 3
Now we use the two points to find the slope.
slope = m = (-3 - 5)/(0 - 4) = -8/(-4) = 2
y = 2x - 3
<span>3x + (x-8) = 23
Combine like terms first. You can combine 3x and x because they have the same variable.
4x - 8 = 23
Now add 8 to both sides.
4x = 31
Last step is to divide both sides by 4 to isolate the x.
4/4x = 31/4
x = 7.75 is the answer.</span>
Answer:
Okay So I see you need to change 1/3 to a denominator of 6
You don't do anything to the -1/6
But to change the 1/3 you need to multiply 3 and 1 by two, which is 2/6
And the -1/6 stays the same