Answer: ![-\dfrac{2\sqrt{14}}{9}](https://tex.z-dn.net/?f=-%5Cdfrac%7B2%5Csqrt%7B14%7D%7D%7B9%7D)
Step-by-step explanation:
Given
![\cos a=\dfrac{5}{9}](https://tex.z-dn.net/?f=%5Ccos%20a%3D%5Cdfrac%7B5%7D%7B9%7D)
lies in the fourth quadrant
So, sine must be negative in the fourth quadrant
Using identity
to find sine value
![\Rightarrow \sin^2 a=1-\dfrac{5^2}{9^2}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Csin%5E2%20a%3D1-%5Cdfrac%7B5%5E2%7D%7B9%5E2%7D)
![\\\\\Rightarrow \sin^2 a=1-\dfrac{25}{81}\\\\\\\Rightarrow \sin^2 a=\dfrac{56}{81}\\\\\\\Rightarrow \sin a=-\sqrt{\dfrac{56}{81}}\\\\\\\Rightarrow \sin a=-\dfrac{2\sqrt{14}}{9}](https://tex.z-dn.net/?f=%5C%5C%5C%5C%5CRightarrow%20%5Csin%5E2%20a%3D1-%5Cdfrac%7B25%7D%7B81%7D%5C%5C%5C%5C%5C%5C%5CRightarrow%20%5Csin%5E2%20a%3D%5Cdfrac%7B56%7D%7B81%7D%5C%5C%5C%5C%5C%5C%5CRightarrow%20%5Csin%20a%3D-%5Csqrt%7B%5Cdfrac%7B56%7D%7B81%7D%7D%5C%5C%5C%5C%5C%5C%5CRightarrow%20%5Csin%20a%3D-%5Cdfrac%7B2%5Csqrt%7B14%7D%7D%7B9%7D)
Step-by-step explanation:
G(x) = 2/3 x - 6 switch x and y around and solve for y.
y = 2/3 x - 6
x = 2/3 y - 6
x + 6 = 2/3 y
3/2 x + 9 = y
The answer to the problem is x=2
In algebra, the conversion of a more complex number to a simpler mixed number is rather simple. For the repeated numbers, which are designated by the bar above them, we simply have to put over 9 for each number repeated and 0 for the non-repeated numbers.
In this item, we have 1.28 with bar above 28 signifying that the number can also be written as 1.28282828.... The mixed number is then equal to,
<em>1 and 28/99 or 1 and 28 over 99</em>
Therefore, the answer to this item is the second choice.
Too
Too rhymes with fruit. Two wouldn’t make sense because that’s a number. Your and you’re just do not make sense.