Answer:
A
Step-by-step explanation:
Which segment shows what happens when x>2? What happens when x = 2 and which line shows it best. Which question is easier to answer?
It's not C or D.
Look at A. If x = 2 then -x + 4 = -2 + 4 = 2. I admit you can't let it be that way, but it gives you an indication of what to do. That is what happens to the short line on the right.
What is the long line doing? -2(2) - 1 = -5. Who does that? A does
So the Answer is A
Answer:
I belive the answer would be 452.16
Step-by-step explanation:
The formula to find the volume of a cylinder is ![v=\pi r^2h](https://tex.z-dn.net/?f=v%3D%5Cpi%20r%5E2h)
h = height
r = radius
The radius for this is 4 and the height is 9
instert your number into your equation ![v=\pi (4)^2(9)](https://tex.z-dn.net/?f=v%3D%5Cpi%20%284%29%5E2%289%29)
and from there i would just put it into a calculator and you get
or 452.3893-
The Area of a Square is the square of the measure of one side of the square.
Hence, given the expression for the area of a square, express the given area as the square of an expression to get the measure of one side.
The given expression is:
![100x^2-160x+64](https://tex.z-dn.net/?f=100x%5E2-160x%2B64)
Rewrite the expression as:
![\begin{gathered} 10^2x^2-(2\times10\times8)x+8^2 \\ =(10x)^2-(2\times10x\times8)+8^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2010%5E2x%5E2-%282%5Ctimes10%5Ctimes8%29x%2B8%5E2%20%5C%5C%20%3D%2810x%29%5E2-%282%5Ctimes10x%5Ctimes8%29%2B8%5E2%20%5Cend%7Bgathered%7D)
Recall the binomial expansion:
![(a-b)^2=a^2-2ab+b^2](https://tex.z-dn.net/?f=%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2)
Substituting a=10x and b=8, it follows that the expression becomes:
![(10x-8)^2](https://tex.z-dn.net/?f=%2810x-8%29%5E2)
Since the area of a square is the square of the measure of one side, it follows that the measure of one side from the given expression is 10x-8.
Given:
![a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}](https://tex.z-dn.net/?f=a%3D1.6%2Cb%3D%5Cdfrac%7B1%7D%7B-2%7D%2Cc%3D%5Cdfrac%7B-5%7D%7B-7%7D)
To verify:
for the given values.
Solution:
We have,
![a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}](https://tex.z-dn.net/?f=a%3D1.6%2Cb%3D%5Cdfrac%7B1%7D%7B-2%7D%2Cc%3D%5Cdfrac%7B-5%7D%7B-7%7D)
We need to verify
.
Taking left hand side, we get
![a(b-c)=1.6\left(\dfrac{1}{-2}-\dfrac{-5}{-7}\right)](https://tex.z-dn.net/?f=a%28b-c%29%3D1.6%5Cleft%28%5Cdfrac%7B1%7D%7B-2%7D-%5Cdfrac%7B-5%7D%7B-7%7D%5Cright%29)
![a(b-c)=1.6\left(-\dfrac{1}{2}-\dfrac{5}{7}\right)](https://tex.z-dn.net/?f=a%28b-c%29%3D1.6%5Cleft%28-%5Cdfrac%7B1%7D%7B2%7D-%5Cdfrac%7B5%7D%7B7%7D%5Cright%29)
Taking LCM, we get
![a(b-c)=1.6\left(\dfrac{-7-10}{14}\right)](https://tex.z-dn.net/?f=a%28b-c%29%3D1.6%5Cleft%28%5Cdfrac%7B-7-10%7D%7B14%7D%5Cright%29)
![a(b-c)=\dfrac{16}{10}\left(\dfrac{-17}{14}\right)](https://tex.z-dn.net/?f=a%28b-c%29%3D%5Cdfrac%7B16%7D%7B10%7D%5Cleft%28%5Cdfrac%7B-17%7D%7B14%7D%5Cright%29)
![a(b-c)=\dfrac{8}{5}\left(\dfrac{-17}{14}\right)](https://tex.z-dn.net/?f=a%28b-c%29%3D%5Cdfrac%7B8%7D%7B5%7D%5Cleft%28%5Cdfrac%7B-17%7D%7B14%7D%5Cright%29)
![a(b-c)=-\dfrac{68}{35}\right)](https://tex.z-dn.net/?f=a%28b-c%29%3D-%5Cdfrac%7B68%7D%7B35%7D%5Cright%29)
Taking right hand side, we get
![ab-ac=1.6\times \dfrac{1}{-2}-1.6\times \dfrac{-5}{-7}](https://tex.z-dn.net/?f=ab-ac%3D1.6%5Ctimes%20%5Cdfrac%7B1%7D%7B-2%7D-1.6%5Ctimes%20%5Cdfrac%7B-5%7D%7B-7%7D)
![ab-ac=-\dfrac{16}{20}-\dfrac{8}{7}](https://tex.z-dn.net/?f=ab-ac%3D-%5Cdfrac%7B16%7D%7B20%7D-%5Cdfrac%7B8%7D%7B7%7D)
![ab-ac=-\dfrac{4}{5}-\dfrac{8}{7}](https://tex.z-dn.net/?f=ab-ac%3D-%5Cdfrac%7B4%7D%7B5%7D-%5Cdfrac%7B8%7D%7B7%7D)
Taking LCM, we get
![ab-ac=\dfrac{-28-40}{35}](https://tex.z-dn.net/?f=ab-ac%3D%5Cdfrac%7B-28-40%7D%7B35%7D)
![ab-ac=\dfrac{-68}{35}](https://tex.z-dn.net/?f=ab-ac%3D%5Cdfrac%7B-68%7D%7B35%7D)
Now,
![LHS=RHS](https://tex.z-dn.net/?f=LHS%3DRHS)
Hence proved.
Step-by-step explanation:
you can get simply V= ABh πr^2 h π3.14^2 x 17.9 then you get the answer Ihope I can help you