It is equilateral triangle, so the 3 sides have the same length
5x - 22 = 4x - 10
5x - 4x = -10 + 22
x = 12
The value of x is 12
Answer:
x=1 y=1
Step-by-step explanation:
Let's use the elimination method.
3x+4y=7
2x-y = 1 (multiply both sides by 4)
8x-4y=4
3x+4y=7
(add both equations together)
11x=11
x=1
Plug x=1 into either of the equations
2(1) - y=1
2-y=1
2=1+y
y=1
Answer: ![\frac{\sqrt{6}}{5y}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B6%7D%7D%7B5y%7D)
Step-by-step explanation:
The given radical expressions are:
![A. \frac{11y}{\sqrt{3}}\\\text{It is not completely simplified ,}\\\text{since denominator is radical, we need to rationalize it first to simplify. }\\\\B.\frac{\sqrt{6}}{5y}\\\text{It is completely simplified ,}\\\text{since its denominator is not radical and 6 is not a perfect square. }\\\\C. \frac{\sqrt{17}}{\sqrt{4}}\\\text{It is not completely simplified ,}\\\text{since denominator is radical, we need to rationalize it first to simplify. }\\\\](https://tex.z-dn.net/?f=A.%20%5Cfrac%7B11y%7D%7B%5Csqrt%7B3%7D%7D%5C%5C%5Ctext%7BIt%20is%20not%20completely%20simplified%20%2C%7D%5C%5C%5Ctext%7Bsince%20denominator%20is%20radical%2C%20we%20need%20to%20rationalize%20it%20first%20to%20simplify.%20%7D%5C%5C%5C%5CB.%5Cfrac%7B%5Csqrt%7B6%7D%7D%7B5y%7D%5C%5C%5Ctext%7BIt%20is%20completely%20simplified%20%2C%7D%5C%5C%5Ctext%7Bsince%20its%20denominator%20is%20not%20radical%20and%206%20is%20not%20a%20perfect%20square.%20%7D%5C%5C%5C%5CC.%20%5Cfrac%7B%5Csqrt%7B17%7D%7D%7B%5Csqrt%7B4%7D%7D%5C%5C%5Ctext%7BIt%20is%20not%20completely%20simplified%20%2C%7D%5C%5C%5Ctext%7Bsince%20denominator%20is%20radical%2C%20we%20need%20to%20rationalize%20it%20first%20to%20simplify.%20%7D%5C%5C%5C%5C)
![\\\\D. \frac{\sqrt{25}}{18}=\frac{5}{18}\\\text{Hence, expression D was not completely simplified .}](https://tex.z-dn.net/?f=%5C%5C%5C%5CD.%20%5Cfrac%7B%5Csqrt%7B25%7D%7D%7B18%7D%3D%5Cfrac%7B5%7D%7B18%7D%5C%5C%5Ctext%7BHence%2C%20expression%20D%20was%20not%20completely%20simplified%20.%7D)