If you decompose 9 you will get 3*3 so 9=3*3
If you decompose 12 you will get 2*6,then you can decompose 6 which 2*3 so 12=2*2*3
If you decompose 6 you will get 2*3 so 6=2*3
What do all of these numbers have in common?The 3.
So 3 is the greatest common factor.Now you just put the 3 in front and then open the bracket and divide each of the number by 3.
9/3=3
-12x/3=4x
6y/3=2y
So,this will be your answer 3(3-4x+2y)
Answer: The required solution is
Step-by-step explanation: We are given to solve the following differential equation :
Let us consider that
be an auxiliary solution of equation (i).
Then, we have
Substituting these values in equation (i), we get
![m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.](https://tex.z-dn.net/?f=m%5E2e%5E%7Bmt%7D%2B10me%5E%7Bmt%7D%2B25e%5E%7Bmt%7D%3D0%5C%5C%5C%5C%5CRightarrow%20%28m%5E2%2B10y%2B25%29e%5E%7Bmt%7D%3D0%5C%5C%5C%5C%5CRightarrow%20m%5E2%2B10m%2B25%3D0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%5B%5Ctextup%7Bsince%20%7De%5E%7Bmt%7D%5Cneq0%5D%5C%5C%5C%5C%5CRightarrow%20m%5E2%2B2%5Ctimes%20m%5Ctimes5%2B5%5E2%3D0%5C%5C%5C%5C%5CRightarrow%20%28m%2B5%29%5E2%3D0%5C%5C%5C%5C%5CRightarrow%20m%3D-5%2C-5.)
So, the general solution of the given equation is
Differentiating with respect to t, we get
According to the given conditions, we have
and
Thus, the required solution is
Answer: C. 1,183m
Step-by-step explanation:
I think the answer is 62 because 7+5=12 4*13=52 12+52=64 64-2=62
Answer:
<h2><em><u>1st</u></em><em><u> </u></em><em><u>option</u></em><em><u> </u></em></h2>
Step-by-step explanation:
Place the compass at one end of line segment, and taking it more than 1/2 of MN is its 1st step
