Answer:
ok tha pic not working
Step-by-step explanation:
Answer:
Missing term is 225/4
Step-by-step explanation:
![x^2+15x+18=0](https://tex.z-dn.net/?f=x%5E2%2B15x%2B18%3D0)
First move +18 to the other side. Subtract 18 on both sides
![x^2+15x=-18](https://tex.z-dn.net/?f=x%5E2%2B15x%3D-18)
In completing the square method we take the half of coefficient of x and then square it
coefficient of x is 15
Half of 15 is ![\frac{15}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B2%7D)
Square it ![(\frac{15}{2})^2](https://tex.z-dn.net/?f=%28%5Cfrac%7B15%7D%7B2%7D%29%5E2)
![\frac{225}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B225%7D%7B4%7D)
Missing term is 225/4 that is required to form a square trinomial
Add it on both sides
![x^2+15x+\frac{225}{4}=-18+\frac{225}{4}](https://tex.z-dn.net/?f=x%5E2%2B15x%2B%5Cfrac%7B225%7D%7B4%7D%3D-18%2B%5Cfrac%7B225%7D%7B4%7D)
![x^2+15x+\frac{225}{4}=\frac{-18*4}{1*4}+\frac{225}{4}](https://tex.z-dn.net/?f=x%5E2%2B15x%2B%5Cfrac%7B225%7D%7B4%7D%3D%5Cfrac%7B-18%2A4%7D%7B1%2A4%7D%2B%5Cfrac%7B225%7D%7B4%7D)
![x^2+15x+\frac{225}{4}=\frac{-72}{4}+\frac{225}{4}](https://tex.z-dn.net/?f=x%5E2%2B15x%2B%5Cfrac%7B225%7D%7B4%7D%3D%5Cfrac%7B-72%7D%7B4%7D%2B%5Cfrac%7B225%7D%7B4%7D)
![x^2+15x+\frac{225}{4}=\frac{153}{4}](https://tex.z-dn.net/?f=x%5E2%2B15x%2B%5Cfrac%7B225%7D%7B4%7D%3D%5Cfrac%7B153%7D%7B4%7D)
Now we write left hand side in square form
![(x+\frac{15}{2})^2=\frac{153}{4}](https://tex.z-dn.net/?f=%28x%2B%5Cfrac%7B15%7D%7B2%7D%29%5E2%3D%5Cfrac%7B153%7D%7B4%7D)
Now we solve for x
Take square root on both sides
![(x+\frac{15}{2})^2=\sqrt{\frac{153}{4}}](https://tex.z-dn.net/?f=%28x%2B%5Cfrac%7B15%7D%7B2%7D%29%5E2%3D%5Csqrt%7B%5Cfrac%7B153%7D%7B4%7D%7D)
![(x+\frac{15}{2})=+-\frac{3\sqrt{17}}{2}](https://tex.z-dn.net/?f=%28x%2B%5Cfrac%7B15%7D%7B2%7D%29%3D%2B-%5Cfrac%7B3%5Csqrt%7B17%7D%7D%7B2%7D)
Subtract 15/2 on both sides
![x=+-\frac{3\sqrt{17}}{2}-\frac{15}{2}](https://tex.z-dn.net/?f=x%3D%2B-%5Cfrac%7B3%5Csqrt%7B17%7D%7D%7B2%7D-%5Cfrac%7B15%7D%7B2%7D)
Answer:
9
Step-by-step explanation:
9.
y coordinate gives the vertical distance
Answer:
For side d, original length, the answer is 9
For side d, original length/copy length, the answer is 3
For side e, copy length, the answer if 7
For side f, copy length, the answer is 8
Step-by-step explanation:
For side d, because there's a limited number of options, you need to find what could be divided evenly and still produce an answer that could be an option. The copy length is 3 and the only options that could be divided evenly is 9, 6, and 3. Dividing these you get
Since there isn't an option for 2 and 1, it has to be 9 for the original length and 9/3=3, 3 being the other choice.
For the last 2, you need to find what numbers makes 21 and 24 divide into 3 which is: