Given:
Consider the given expression is:
![\dfrac{h+f}{3}+\dfrac{f+k}{2}+\dfrac{4h-k}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7Bh%2Bf%7D%7B3%7D%2B%5Cdfrac%7Bf%2Bk%7D%7B2%7D%2B%5Cdfrac%7B4h-k%7D%7B5%7D)
To find:
The simplified form of the given expression.
Solution:
We have,
![\dfrac{h+f}{3}+\dfrac{f+k}{2}+\dfrac{4h-k}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7Bh%2Bf%7D%7B3%7D%2B%5Cdfrac%7Bf%2Bk%7D%7B2%7D%2B%5Cdfrac%7B4h-k%7D%7B5%7D)
Taking LCM, we get
![=\dfrac{10(h+f)+15(f+k)+6(4h-k)}{30}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B10%28h%2Bf%29%2B15%28f%2Bk%29%2B6%284h-k%29%7D%7B30%7D)
![=\dfrac{10h+10f+15f+15k+24h-6k}{30}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B10h%2B10f%2B15f%2B15k%2B24h-6k%7D%7B30%7D)
![=\dfrac{34h+25f+9k}{30}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B34h%2B25f%2B9k%7D%7B30%7D)
Therefore, the required simplified fraction for the given expression is
.
Answer: 42
Step-by-step explanation:
Ok what you want to do is add all of them up and equal it to 180 because a triangle is 180 degrees .
Your equation should look like this
9x-3+22x+1+42-3x = 180
What you want to do first is combine all the x and numbers on the left side so it should look like this
1) 28x+40= 180
Then you want to subtract 40 on both sides so it will look like this
2)28x=140
You want to get x by it self so you divide 28 on both sides
3) x=140/28
4) x=5
Since you are finding c you have to insert 5 into x
1) 9(5)-3
2)45-3
Then your answer should be 42
(1,5) is the correct answer
-4x/7 > 10
Multiply both sides by 7:
-4x > 70
Divide both sides by -4"
x > 70 / -4
Simplify the fraction:
70/-4 = 35 / -2
Because the fraction is negative you need to reverse the inequality sign:
x < -35/2
The answer is the first one: {x|x < -35/2}
Answer:
rationalizing
Step-by-step explanation: