Down on the bottom, under the fraction line.
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)
Sector area= theta/360 x πr^2
Radius= 24/2= 12
Sector area= 120/360 x π(12)^2
Final answer :
Sector area = 48π
place 325 on top and line up 52 with 25 on bottom. Then multiply 2 with 5 to get 10. Place the zero bellow the line and carry the 1 over the 2. Multiply 2 times 2 to get 4 and then add one to get 5. Put the five bellow the line. Multiply 3 times 2 to get a total of 6 and bring it bellow the line. Bring a zero bellow the 0 that's bellow the line. Multiply 5 times 5 to get 25. Bring the 5 to the left of the zero you just placed and carry the 2. Multiply 5 times 2 to get 10 and add the 12. Place the 2 to the left of the 5 you just placed bellow the line and carry the 1. Multiply 5 times 3 to get 15 and add the 1 to get 16. Place the 16 to the left of the 2 you just placed bellow the line. Then add 650 plus 16250 to get an answer of 16,900.
Wow that was long and hard to explain LOL. :)
Answer:
8
Step-by-step explanation:
3(8-m)=5m-40
you first distribute 3 through the parenthesis
24-3m=5m-40
Move the variable to the left and change sign
24-3m-5m=-40
now move the constant to the right
-3m-5m=-40-24
collect like terms
-8m=-40-24
-8m=-64
Divide both sides by -8 and negative divide negative number becomes positive
so m = 8