To find the final term to compete the square you need to divide the 'x' term by 2 then square it
![x^2 +18x + = 44+ \\ x^2+18x+( \frac{18}{2} )^2=44+( \frac{18}{2} )^2 \\ x^2+18x+9^2=44+9^2 \\ x^2+18x+81=44+81 \\ (x+9)^2=125](https://tex.z-dn.net/?f=x%5E2%20%2B18x%20%2B%20%3D%2044%2B%20%5C%5C%20x%5E2%2B18x%2B%28%20%5Cfrac%7B18%7D%7B2%7D%20%29%5E2%3D44%2B%28%20%5Cfrac%7B18%7D%7B2%7D%20%29%5E2%20%5C%5C%20x%5E2%2B18x%2B9%5E2%3D44%2B9%5E2%20%5C%5C%20x%5E2%2B18x%2B81%3D44%2B81%20%5C%5C%20%28x%2B9%29%5E2%3D125)
- equivalent equation
Answer:
[See Below]
Step-by-step explanation:
Look at the "Fraction" column, all the fractions in this column must add up to 1 (because the whole bag contains only Red, Green, Blue or Other coloured beads).
So we work out the sum of missing fractions: ![\frac{1}{12} + \frac{1}{4} = \frac{1}{12} + \frac{3}{12} = \frac{4}{12} = \frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D%20%2B%20%5Cfrac%7B1%7D%7B4%7D%20%3D%20%5Cfrac%7B1%7D%7B12%7D%20%2B%20%5Cfrac%7B3%7D%7B12%7D%20%3D%20%5Cfrac%7B4%7D%7B12%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
And so we know the fractions in the missing boxes must add up to
.
This means that the number of blue and green beads is 2/3rds of the total number of beads in the bag. There are 12+4=16 blue+green beads so
.
So if there are 24 beads in the bag, then the red beads are 1/12th of 24 which is 2 and the other beads are 1/4 of 24 which is 6.
Finally to complete the missing fractions: there are 12 blue beads and 24 in total so the fraction of blue beads is 12/24 = 1/2. Similarly, there are 4 green beads so the fraction of green beads is 4/24 = 1/6.
(I thought this was a very tricky question. Let me know in the comments if something doesn't make sense, or if you need more explanation on any part, or even if you spot an easier way to do it that I can't.)
The answer to the question is 0
First, we separate all instances of t by subtracting J from both sides:
F = J + Jrt
F - J = Jrt
Then, we separate the t by dividing both sides by Jr:
![\frac{f - j}{jr} = t](https://tex.z-dn.net/?f=%20%5Cfrac%7Bf%20-%20j%7D%7Bjr%7D%20%20%3D%20t)
Therefore, t is equal to (F - J) ÷ Jr
Create an equation. Since all of the angles of any triangle add up to 180 degrees, our equation will be:
7x+25+9x+25+5x+25=180.
Now, jus solve for x.
Combine like terms
21x+75=180
Subtract 75 on both sides to further simplify.
21x=105
Finally, divide both sides by 21 to isolate x.
X=5
Hope this helps!