Answer:
330=40x+50
Step-by-step explanation:
then you would -50 from both sides
280=40x
then you would divide both sides by 40 to isolate x
7=x
so that means it would take 7 weeks
After the translation performed J is now (-2,-2), M is now (-1,-4), K is now (4,1), and L is now (5,-1).
Hope this helps!
Step-by-step explanation:
![M=\left[\begin{array}{ccc}1&-1/f_2\\0&1\end{array}\right] \left[\begin{array}{ccc}1&0\\d&0\end{array}\right] \left[\begin{array}{ccc}1&-1/f_1\\0&1\end{array}\right]\\=\left[\begin{array}{ccc}1&-1/f_2\\0&1\end{array}\right]\left[\begin{array}{ccc}1&-1/f_1\\d&-d/f_1\end{array}\right]\\=\left[\begin{array}{ccc}1-d/f_2&-1/f_1+d/f_1f_2\\d&-d/f_1\end{array}\right]\\\\|M|=[-d/f_1+d^2/f_1f_2]-[-d/f_1+d^2/f_1f_2]=0\\\\-1/f=M_{12}=-1/f_1+d/f_1f_2\\1/f=M_{12}=+1/f_1-d/f_1f_2\\](https://tex.z-dn.net/?f=M%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%2Ff_2%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5Cd%260%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%2Ff_1%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%2Ff_2%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%2Ff_1%5C%5Cd%26-d%2Ff_1%5Cend%7Barray%7D%5Cright%5D%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1-d%2Ff_2%26-1%2Ff_1%2Bd%2Ff_1f_2%5C%5Cd%26-d%2Ff_1%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%7CM%7C%3D%5B-d%2Ff_1%2Bd%5E2%2Ff_1f_2%5D-%5B-d%2Ff_1%2Bd%5E2%2Ff_1f_2%5D%3D0%5C%5C%5C%5C-1%2Ff%3DM_%7B12%7D%3D-1%2Ff_1%2Bd%2Ff_1f_2%5C%5C1%2Ff%3DM_%7B12%7D%3D%2B1%2Ff_1-d%2Ff_1f_2%5C%5C)
Answer:
Step-by-step explanation:
use pythagorean theorem a^2 + b^2 = c^2
a = 6, b = 8
6^2 + 8^2 = c^2
100 = c^2
c = -10
since it cant really be negative, the distance becomes 10.
Answer:
Step-by-step explanation:
You need to set up a ratio for the original recipe and then use that ratio for the new one.
If we need 3 cups of flour for every 4 cups of sugar, we have a 3 c flour/4 c sugar ratio, or 3/4
The new ratio is 9 c of flour for ? c of sugar. Those ratios have to be the same, so we set up an equation like this:
3/4 = 9/?
In order to keep the same ratio, you have to multiply by the same number. Since 3*3 = 9, multiply 4*3 to get your answer.
