Answer:
question 12 is answer B
question 13 is -8x^3
Step-by-step explanation:
exponent rule ![\frac{a^m}{a^n} = a^(^m^-^n^)](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5Em%7D%7Ba%5En%7D%20%20%3D%20a%5E%28%5Em%5E-%5En%5E%29)
Step-by-step explanation:
![{q}^{2} - 12q + 36 \\ = {q}^{2} - 6q - 6q + 36 \\ = q(q - 6) - 6(q - 6) \\ \huge \red{ \boxed {= (q - 6)(q - 6) }}\\ is \: the \: factored \: form.](https://tex.z-dn.net/?f=%20%7Bq%7D%5E%7B2%7D%20%20-%2012q%20%2B%2036%20%5C%5C%20%20%3D%20%20%7Bq%7D%5E%7B2%7D%20%20-%206q%20-%206q%20%2B%2036%20%5C%5C%20%20%3D%20q%28q%20-%206%29%20-%206%28q%20-%206%29%20%5C%5C%20%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%20%7B%3D%20%28q%20-%206%29%28q%20-%206%29%20%7D%7D%5C%5C%20is%20%5C%3A%20the%20%5C%3A%20factored%20%5C%3A%20form.)
Answer: what is your question, is this your question bro
Step-by-step explanation:
Answer:
The equation of the line is,
![y = - \frac{2}{5} x - 1](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B2%7D%7B5%7D%20x%20-%201)
Step-by-step explanation:
First, you have to write it in a form of y = mx + b :
![2x + 5y = 15](https://tex.z-dn.net/?f=2x%20%2B%205y%20%3D%2015)
![5y = 15 - 2x](https://tex.z-dn.net/?f=5y%20%3D%2015%20-%202x)
![y = 3 - \frac{2}{5} x](https://tex.z-dn.net/?f=y%20%3D%203%20-%20%20%5Cfrac%7B2%7D%7B5%7D%20x)
![y = - \frac{2}{3} x + 5](https://tex.z-dn.net/?f=y%20%3D%20%20%20-%20%5Cfrac%7B2%7D%7B3%7D%20x%20%2B%205)
When both lines are parallel to each other, they will have to same gradient value. So the equation of the line is y = (-2/5)x + b. Next, you have to find the value of b by substutituting (-10,3) into the equation :
![y = - \frac{ 2}{5}x + b](https://tex.z-dn.net/?f=y%20%3D%20%20%20-%20%5Cfrac%7B%202%7D%7B5%7Dx%20%2B%20b%20)
![let \: x = - 10,y = 3](https://tex.z-dn.net/?f=let%20%5C%3A%20x%20%3D%20%20-%2010%2Cy%20%3D%203)
![3 = - \frac{2}{5} ( - 10) + b](https://tex.z-dn.net/?f=3%20%3D%20%20-%20%20%5Cfrac%7B2%7D%7B5%7D%20%28%20-%2010%29%20%2B%20b)
![3 = 4 + b](https://tex.z-dn.net/?f=3%20%3D%204%20%2B%20b)
![3 - 4 = b](https://tex.z-dn.net/?f=3%20-%204%20%3D%20b)
![b = - 1](https://tex.z-dn.net/?f=b%20%3D%20%20-%201)