Answer:
GCF(48,88)= 8
Step-by-step explanation:
48 and 88 can be both divided by 8 and that is there greatest factor they can be divided by.
Hope this helps :3
Answer:
<h3>The answer is option D.</h3>
Step-by-step explanation:
First we must first find the LCM
The LCM of x² + 3x + 2 and (x + 2)(x + 1 ) is
x² + 3x + 2
So we have
![\frac{x}{ {x}^{2} + 3x + 2 } - \frac{1}{(x + 2)(x + 1)} \\ \\ = \frac{x - 1}{ {x}^{2} + 3x + 2 }](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B%20%7Bx%7D%5E%7B2%7D%20%2B%203x%20%2B%202%20%7D%20%20-%20%20%5Cfrac%7B1%7D%7B%28x%20%2B%202%29%28x%20%2B%201%29%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7Bx%20-%201%7D%7B%20%7Bx%7D%5E%7B2%7D%20%2B%203x%20%2B%202%20%7D%20)
Hope this helps you
Answer:
- 1
Step-by-step explanation:
Slope of the line
![= \frac{3 - 4}{5 - 4} \\ \\ = \frac{ - 1}{1} \\ \\ = - 1](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B3%20-%204%7D%7B5%20-%204%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B%20-%201%7D%7B1%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20-%201)
So firstly, you're gonna replace the T variable with 2.2, which is the time given to us. And so the equation is gonna look like this:
![2.2=2*3.14* \sqrt{ \frac{L}{32} }](https://tex.z-dn.net/?f=2.2%3D2%2A3.14%2A%20%5Csqrt%7B%20%5Cfrac%7BL%7D%7B32%7D%20%7D%20)
and we will be solving for L.
The next thing you wanna do multiply 2 and 3.14 together, so your equation should look like this:
![2.2=6.28* \sqrt{ \frac{L}{32} }](https://tex.z-dn.net/?f=2.2%3D6.28%2A%20%5Csqrt%7B%20%5Cfrac%7BL%7D%7B32%7D%20%7D%20)
After that, you're gonna want to square all the terms in this equation (2.2, 6.28, and
![\sqrt{ \frac{L}{32} }](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7BL%7D%7B32%7D%20%7D%20)
) to remove the square root. Your equation will look like this
![4.84=39.4384* \frac{L}{32}](https://tex.z-dn.net/?f=4.84%3D39.4384%2A%20%5Cfrac%7BL%7D%7B32%7D%20)
Next up is you're gonna multiply 32, the reciprocal of 1/32, on each side so that the equation looks like this
![154.88=39.4384*L](https://tex.z-dn.net/?f=154.88%3D39.4384%2AL)
After, you're gonna divide 39.4384 on each side, and your equation should end up at
![3.927=L](https://tex.z-dn.net/?f=3.927%3DL)
. And assuming from your options, they are gonna want you to round to the nearest whole number, so the best option is 4 feet.