Step-by-step explanation:
-4 (-x + 2) = 2 (3x - 7)
2x-4=3x-7
x=3
Answer:
first things first, you need to find out how much juice you have: 30 + 20 + 50 = 100, so 100 ml of juice. all together, the juice is 100%, or 1. separated, the amounts are 30%, 20%, and 50%, therefore the amount of coconut milk in the cocktail you have is 50%, or 1/2.
<u>Solution</u><u>:</u>
The rationalisation factor for
is ![a + \sqrt{b}](https://tex.z-dn.net/?f=a%20%2B%20%5Csqrt%7Bb%7D%20)
So, let us apply it here.
![\frac{1}{5 - \sqrt{2} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%20-%20%20%5Csqrt%7B2%7D%20%7D%20)
The rationalising factor for 5 - √2 is 5 + √2.
Therefore, multiplying and dividing by 5 + √2, we have
![= \frac{1}{5 - \sqrt{2} } \times \frac{5 + \sqrt{2} }{5 + \sqrt{2} } \\ = \frac{5 + \sqrt{2} }{(5 - \sqrt{2})(5 + \sqrt{2} ) } \\ = \frac{5 + \sqrt{2} }{ {(5)}^{2} - ( \sqrt{2})^{2} } \\ = \frac{5 + \sqrt{2} }{25 - 2} \\ = \frac{5 + \sqrt{2} }{23}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B1%7D%7B5%20-%20%20%5Csqrt%7B2%7D%20%7D%20%20%5Ctimes%20%20%5Cfrac%7B5%20%2B%20%20%5Csqrt%7B2%7D%20%7D%7B5%20%2B%20%20%5Csqrt%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B5%20%2B%20%20%5Csqrt%7B2%7D%20%7D%7B%285%20-%20%20%5Csqrt%7B2%7D%29%285%20%2B%20%20%5Csqrt%7B2%7D%20%29%20%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B5%20%2B%20%20%5Csqrt%7B2%7D%20%7D%7B%20%7B%285%29%7D%5E%7B2%7D%20-%20%28%20%5Csqrt%7B2%7D%29%5E%7B2%7D%20%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B5%20%2B%20%20%5Csqrt%7B2%7D%20%7D%7B25%20-%20%202%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B5%20%2B%20%20%5Csqrt%7B2%7D%20%7D%7B23%7D%20)
<u>Answer:</u>
<u>
</u>
Hope you could understand.
If you have any query, feel free to ask.
Answer:
b
Step-by-step explanation:
polygons is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain or polygonal circuit
Answer:
189
Step-by-step explanation:
You can replace the values of x with 9 and the values of y with (-3).
7(2x-3y) = 7(2 × 9 - 3 × -3)
= 7(18 - -9)
= 7(18+9)
= 7 × 27
= 189