Answer:
x=11/7
Step-by-step explanation:
(4c - 3d)(3c + d) =
= 12c² + 4cd - 9cd - 3d² =
= <u>12c² - 5cd - 3d²</u>
Answer:
Step-by-step explanation:
If the center of the circle is at the origin, the general formula for the circle is
x^2 + y^2 = r^2.
Since r = 2 units in this particular problem, the equation of the circle is:
x^2 + y^2 = 2^2, or x^2 + y^2 = 4
Answer:
x=11, y=10
Step-by-step explanation:
x= 6+ (1/2)y
x+y=21
substitute the first equation into the second equation:
(6+ (1/2y)) + y =21
to get:
y=10
then to find x:
x+ 10 = 21
x=11
Basic properties that will be used:

![x^{1/n}=\sqrt[n]x](https://tex.z-dn.net/?f=x%5E%7B1%2Fn%7D%3D%5Csqrt%5Bn%5Dx)

All of these expression can be written to match on or more of the patterns above.
![19.\quad\log_5\sqrt[4]{25}=\log_5(5^2)^{1/4}=\dfrac14\log_55^2=\dfrac12\log_55=\dfrac12](https://tex.z-dn.net/?f=19.%5Cquad%5Clog_5%5Csqrt%5B4%5D%7B25%7D%3D%5Clog_5%285%5E2%29%5E%7B1%2F4%7D%3D%5Cdfrac14%5Clog_55%5E2%3D%5Cdfrac12%5Clog_55%3D%5Cdfrac12)



![27.\quad\log_3\sqrt[6]{243}=\log_3(3^5)^{1/6}=\dfrac16\log_33^5=\dfrac56\log_33=\dfrac56](https://tex.z-dn.net/?f=27.%5Cquad%5Clog_3%5Csqrt%5B6%5D%7B243%7D%3D%5Clog_3%283%5E5%29%5E%7B1%2F6%7D%3D%5Cdfrac16%5Clog_33%5E5%3D%5Cdfrac56%5Clog_33%3D%5Cdfrac56)