Answer:
TU=36
Step-by-step explanation:
use the side lengths of PQR to determine the proportionality of the two triangles. 9/2=4.5 so, multiply 8 by 4.5 to find TU.
Question:
Simplify the radical expressions

![10.\ \sqrt[3]{135}](https://tex.z-dn.net/?f=10.%5C%20%5Csqrt%5B3%5D%7B135%7D)
Answer:





![\sqrt[3]{24} = 2 \sqrt[3]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B24%7D%20%3D%202%20%5Csqrt%5B3%5D%7B3%7D)
![\sqrt[3]{81} =3\sqrt[3]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B81%7D%20%3D3%5Csqrt%5B3%5D%7B3%7D)

![\sqrt[3]{40} = 2 \sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B40%7D%20%3D%202%20%5Csqrt%5B3%5D%7B5%7D)
![\sqrt[3]{135} =3\sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B135%7D%20%3D3%5Csqrt%5B3%5D%7B5%7D)
Step-by-step explanation:
Express 63 as 9 * 7

Split:



Express 48 as 16 * 3

Split



Express 75 as 25 * 3

Split


Express 99 as 9 * 11

Split


Express 92 as 4 * 23



Express 24 as 8 * 3
![\sqrt[3]{24} = \sqrt[3]{8} * \sqrt[3]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B24%7D%20%3D%20%5Csqrt%5B3%5D%7B8%7D%20%2A%20%5Csqrt%5B3%5D%7B3%7D)
Express 8 as 2^3
![\sqrt[3]{24} = \sqrt[3]{2^3} * \sqrt[3]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B24%7D%20%3D%20%5Csqrt%5B3%5D%7B2%5E3%7D%20%2A%20%5Csqrt%5B3%5D%7B3%7D)
![\sqrt[3]{24} = 2 \sqrt[3]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B24%7D%20%3D%202%20%5Csqrt%5B3%5D%7B3%7D)
![7.\ \sqrt[3]{81}](https://tex.z-dn.net/?f=7.%5C%20%5Csqrt%5B3%5D%7B81%7D)
Express 81 as 27 * 3
![\sqrt[3]{81} =\sqrt[3]{27}*\sqrt[3]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B81%7D%20%3D%5Csqrt%5B3%5D%7B27%7D%2A%5Csqrt%5B3%5D%7B3%7D)
Express 27 as 3^3
![\sqrt[3]{81} =\sqrt[3]{3^3}*\sqrt[3]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B81%7D%20%3D%5Csqrt%5B3%5D%7B3%5E3%7D%2A%5Csqrt%5B3%5D%7B3%7D)
![\sqrt[3]{81} =3\sqrt[3]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B81%7D%20%3D3%5Csqrt%5B3%5D%7B3%7D)
Express 128 as 64 * 2


![9.\sqrt[3]{40}](https://tex.z-dn.net/?f=9.%5Csqrt%5B3%5D%7B40%7D)
Express 40 as 8 * 5
![\sqrt[3]{40} = \sqrt[3]{8} * \sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B40%7D%20%3D%20%5Csqrt%5B3%5D%7B8%7D%20%2A%20%5Csqrt%5B3%5D%7B5%7D)
![\sqrt[3]{40} = \sqrt[3]{2^3} * \sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B40%7D%20%3D%20%5Csqrt%5B3%5D%7B2%5E3%7D%20%2A%20%5Csqrt%5B3%5D%7B5%7D)
![\sqrt[3]{40} = 2 \sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B40%7D%20%3D%202%20%5Csqrt%5B3%5D%7B5%7D)
![10.\ \sqrt[3]{135}](https://tex.z-dn.net/?f=10.%5C%20%5Csqrt%5B3%5D%7B135%7D)
Express 135 as 27 * 5
![\sqrt[3]{135} =\sqrt[3]{27}*\sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B135%7D%20%3D%5Csqrt%5B3%5D%7B27%7D%2A%5Csqrt%5B3%5D%7B5%7D)
Express 27 as 3^3
![\sqrt[3]{135} =\sqrt[3]{27}*\sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B135%7D%20%3D%5Csqrt%5B3%5D%7B27%7D%2A%5Csqrt%5B3%5D%7B5%7D)
![\sqrt[3]{135} =3\sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B135%7D%20%3D3%5Csqrt%5B3%5D%7B5%7D)
Need more points and I will tell you the answer
A) the output would be -9,4 because using the rule Alivia created (x,y)➡(x-3,y+4) -6 (which is the x value) subtract 3 equals -9. 0, which is the y value plus 4 equals four.
b) The output would be 0,0 because using the same rule 3 subtract 3 is 0 and -4 plus 4 is 0.
c) Honestly I tried to determine whether the rule was a function and I am having a hard time determining. But I can tell you that x values cannot have more than one y value while y can have more than on x value.
please vote my answer brainliest. thanks!
-10b--3b= 7b and then 113-71=42 and 42 divide it by 7b which is gonna be b=6