Answer:
360
Step-by-step explanation:
You will need 2 * 2 * 2 for the smallest number to be divisible by 8 with all the others.
You will need 3 * 3 for the smallest number to be divisible by 9 with all the others.
Finally you will need 1 five
The smallest number divisible by all of these is 2*2*2*3*3*5 = 360
- 360/2 = 180 works
- 360/3 = 120 works
- 360/5 = 72 works
- 360/6 = 60 works
- 360/8 = 45 works
- 360/9 = 40 works.
There is no smaller number below 360 which will work.
Answer:
y = (2 - 7) / (6 - (-9)) * (x - (-9)) + 7
y = -5 / (6 + 9) * (x + 9) + 7
y = -5 / 15 * (x + 9) + 7
y = -1/3 * (x + 9) + 7
y = -1/3 * x - 3 + 7
y = -1/3 * x + 4
<u>Answer:
</u>
The difference of (12f - 8g + 3h) -(4f – g + 5h) is 8f - 7g - 2h
<u>Solution:
</u>
From question given that the expression is
(12f - 8g + 3h) - (4f – g + 5h)
We have to find the difference of both the expressions.
By removing the parenthesis the above equation becomes,
12f - 8g + 3h - 4f + g - 5h
Separate the terms of f, g and h in above equation,
12f - 4f - 8g + g + 3h - 5h
On simplifying the above expression,
8f - 7g - 2h
Hence difference of (12f - 8g + 3h) - (4f – g + 5h) is 8f - 7g - 2h
1. One solution
2.one solution
3.no solution
4.one solution
Hope this helped!
Answer:
The particle will travel 6 feet in first 2 seconds.
Step-by-step explanation:
We have been given that a particle moves according to the velocity equation 
. We are asked to find the distance that the particle will travel in its first 2 seconds.
Now, we will eliminate the absolute value sign as:
![s(t)=[\frac{6t^3}{3}-\frac{18t^2}{2}+12t]^1_0 +[\frac{-6t^3}{3}+\frac{18t^2}{2}-12t]^2_1](https://tex.z-dn.net/?f=s%28t%29%3D%5B%5Cfrac%7B6t%5E3%7D%7B3%7D-%5Cfrac%7B18t%5E2%7D%7B2%7D%2B12t%5D%5E1_0%20%2B%5B%5Cfrac%7B-6t%5E3%7D%7B3%7D%2B%5Cfrac%7B18t%5E2%7D%7B2%7D-12t%5D%5E2_1)
![s(t)=[2t^3-9t^2+12t]^1_0 +[-2t^3+9t^2-12t]^2_1](https://tex.z-dn.net/?f=s%28t%29%3D%5B2t%5E3-9t%5E2%2B12t%5D%5E1_0%20%2B%5B-2t%5E3%2B9t%5E2-12t%5D%5E2_1)
Therefore, the particle will travel 6 feet in first 2 seconds.
