Answer:
![b= \frac{q - 4a}{4}](https://tex.z-dn.net/?f=b%3D%20%20%5Cfrac%7Bq%20-%204a%7D%7B4%7D%20)
Step-by-step explanation:
ill suppose that you mean : "solve for b" not for d, since there is no d term in the formula given. So:
![q = 4(a + b) \\ q = 4a + 4b \\ 4a + 4b = q \\ 4a + 4b - 4a = q - 4a \\ 4b = q - 4a \\ b = \frac{q - 4a}{4}](https://tex.z-dn.net/?f=q%20%3D%204%28a%20%2B%20b%29%20%5C%5C%20q%20%3D%204a%20%2B%204b%20%5C%5C%204a%20%2B%204b%20%3D%20q%20%5C%5C%204a%20%2B%204b%20-%204a%20%3D%20q%20-%204a%20%5C%5C%204b%20%3D%20q%20-%204a%20%5C%5C%20b%20%3D%20%20%5Cfrac%7Bq%20-%204a%7D%7B4%7D%20)
Answer:
b
Step-by-step explanation:
-2xa ×-4xb=8xa+b
-2xa×-2x3=4xa+3
-2xa×5x=10xa+1
Answer:
![BD=4\sqrt{3}\ units](https://tex.z-dn.net/?f=BD%3D4%5Csqrt%7B3%7D%5C%20units)
Step-by-step explanation:
we know that
![AD=12\ units](https://tex.z-dn.net/?f=AD%3D12%5C%20units)
----> ![CD=4\ units](https://tex.z-dn.net/?f=CD%3D4%5C%20units)
see the attached figure to better understand the problem
Triangles ABD and BCD are similar by AA Similarity Theorem
Remember that
If two figures are similar, then the ratio of its corresponding sides is proportional
so
![\frac{BD}{AD}=\frac{CD}{BD}](https://tex.z-dn.net/?f=%5Cfrac%7BBD%7D%7BAD%7D%3D%5Cfrac%7BCD%7D%7BBD%7D)
substitute the given values
![\frac{BD}{12}=\frac{4}{BD}](https://tex.z-dn.net/?f=%5Cfrac%7BBD%7D%7B12%7D%3D%5Cfrac%7B4%7D%7BBD%7D)
![BD^2=48](https://tex.z-dn.net/?f=BD%5E2%3D48)
![BD=\sqrt{48}\ units](https://tex.z-dn.net/?f=BD%3D%5Csqrt%7B48%7D%5C%20units)
simplify
![BD=4\sqrt{3}\ units](https://tex.z-dn.net/?f=BD%3D4%5Csqrt%7B3%7D%5C%20units)