9514 1404 393
Answer:
a.
Step-by-step explanation:
For an even-index radical, ...
![\sqrt[n]{x^n}=|x|\qquad\text{n even}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5En%7D%3D%7Cx%7C%5Cqquad%5Ctext%7Bn%20even%7D)
This lets us simplify the given expression as follows:
![\sqrt[4]{81x^6y^4}-|y|\sqrt[4]{x^6}-\sqrt[4]{16x^2}=\sqrt[4]{(3xy)^4x^2}-|y|\sqrt[4]{x^4x^2}-\sqrt[4]{2^4x^2}\\\\=3|xy|\sqrt[4]{x^2}-|xy|\sqrt[4]{x^2}-2\sqrt[4]{x^2}=\boxed{2|xy|\sqrt[4]{x^2}-2\sqrt[4]{x^2}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81x%5E6y%5E4%7D-%7Cy%7C%5Csqrt%5B4%5D%7Bx%5E6%7D-%5Csqrt%5B4%5D%7B16x%5E2%7D%3D%5Csqrt%5B4%5D%7B%283xy%29%5E4x%5E2%7D-%7Cy%7C%5Csqrt%5B4%5D%7Bx%5E4x%5E2%7D-%5Csqrt%5B4%5D%7B2%5E4x%5E2%7D%5C%5C%5C%5C%3D3%7Cxy%7C%5Csqrt%5B4%5D%7Bx%5E2%7D-%7Cxy%7C%5Csqrt%5B4%5D%7Bx%5E2%7D-2%5Csqrt%5B4%5D%7Bx%5E2%7D%3D%5Cboxed%7B2%7Cxy%7C%5Csqrt%5B4%5D%7Bx%5E2%7D-2%5Csqrt%5B4%5D%7Bx%5E2%7D%7D)
Answer: x=4. PS=QR=15
Step-by-step explanation:
Answer:
The first option will take a total of 3.2 hours while the second option will take just 3 hours
This shows that the second option is faster
Step-by-step explanation:
Here, we want to compare two hiking options and see the one which is faster.
At any point in time;
Distance = speed * time
In the first option, he could hike at 3 mph for two hours.
Total distance covered would be 3 * 2 = 6 miles
Distance left = 12 miles - 6 miles = 6 miles
Time taken to hike 6 miles at 5 mph will be ; 6/5 = 1.2 hours
Total time for the first type hiking = 1.2 hours + 2 hours = 3.2 hours
For the second option;
Time = distance/speed = 12 miles/4 mph = 3 hours
We can see that the second option is faster
Answer:
∠z = 55°
Step-by-step explanation:
90° - 35° = 55°
Answer:
Inverse property of addition.
