Answer:
2nd option is the correct answer
![12{b}^{2} \bigg(\sqrt[3]{2a} \bigg)](https://tex.z-dn.net/?f=%2012%7Bb%7D%5E%7B2%7D%20%20%20%20%5Cbigg%28%5Csqrt%5B3%5D%7B2a%7D%20%20%5Cbigg%29)
Step-by-step explanation:
![3 {b}^{2} \bigg( \sqrt[3]{54a} \bigg) + 3 \bigg( \sqrt[3]{2a {b}^{6} } \bigg) \\ \\ = 3 {b}^{2} \bigg( \sqrt[3]{27 \times 2a} \bigg) + 3 \bigg( \sqrt[3]{2a {( {b}^{2} )}^{3} } \bigg) \\ \\ = 3 {b}^{2} \bigg( \sqrt[3]{ {3}^{3} \times 2a} \bigg) + 3 \bigg({\sqrt[3]{{( {b}^{2} )}^{3}2a} } \bigg) \\ \\ = 3 {b}^{2} \times 3 \sqrt[ 3]{2a} + 3 {b}^{2} \sqrt[3]{2a} \\ \\ = 9 {b}^{2} \sqrt[ 3]{2a} + 3 {b}^{2} \sqrt[3]{2a} \\ \\ = 12{b}^{2} \bigg(\sqrt[3]{2a} \bigg)](https://tex.z-dn.net/?f=3%20%7Bb%7D%5E%7B2%7D%20%20%5Cbigg%28%20%5Csqrt%5B3%5D%7B54a%7D%20%20%5Cbigg%29%20%2B%203%20%5Cbigg%28%20%5Csqrt%5B3%5D%7B2a%20%7Bb%7D%5E%7B6%7D%20%7D%20%20%5Cbigg%29%20%5C%5C%20%20%5C%5C%20%20%3D%203%20%7Bb%7D%5E%7B2%7D%20%20%5Cbigg%28%20%5Csqrt%5B3%5D%7B27%20%5Ctimes%202a%7D%20%20%5Cbigg%29%20%2B%203%20%5Cbigg%28%20%5Csqrt%5B3%5D%7B2a%20%7B%28%20%7Bb%7D%5E%7B2%7D%20%29%7D%5E%7B3%7D%20%7D%20%20%5Cbigg%29%20%5C%5C%20%20%5C%5C%20%20%3D%203%20%7Bb%7D%5E%7B2%7D%20%20%5Cbigg%28%20%5Csqrt%5B3%5D%7B%20%7B3%7D%5E%7B3%7D%20%5Ctimes%202a%7D%20%20%5Cbigg%29%20%2B%203%20%5Cbigg%28%7B%5Csqrt%5B3%5D%7B%7B%28%20%7Bb%7D%5E%7B2%7D%20%29%7D%5E%7B3%7D2a%7D%20%20%7D%20%20%5Cbigg%29%20%5C%5C%20%20%5C%5C%20%20%3D%203%20%7Bb%7D%5E%7B2%7D%20%20%5Ctimes%203%20%20%5Csqrt%5B%203%5D%7B2a%7D%20%2B%203%20%7Bb%7D%5E%7B2%7D%20%20%20%5Csqrt%5B3%5D%7B2a%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%209%20%7Bb%7D%5E%7B2%7D%20%20%5Csqrt%5B%203%5D%7B2a%7D%20%2B%203%20%7Bb%7D%5E%7B2%7D%20%20%20%5Csqrt%5B3%5D%7B2a%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%2012%7Bb%7D%5E%7B2%7D%20%20%20%20%5Cbigg%28%5Csqrt%5B3%5D%7B2a%7D%20%20%5Cbigg%29)
Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the 3 sides of the triangle , that is
3x + 2x + 6 + 6x - 3 ( simplify by collecting like terms )
= 11x + 3
Given the perimeter = 36 units , then
11x + 3 = 36 ( subtract 3 from both sides )
11x = 33 ( divide both sides by 11 )
x = 3
Then
base = 2x + 6 = 2(3) + 6 = 6 + 6 = 12 units
height = 3x = 3(3) = 9 units
hypotenuse = 6x - 3 = 6(3) - 3 = 18 - 3 = 15 units
Answer:
-2
Step-by-step explanation:
The slope of a line is given by
m = (y2-y1)/(x2-x1)
= (-3 -5)/(2- -2)
= -8/(2+2)
-8/4
-2
Answer: $27.5
Step-by-step explanation:
10 percent of 25 is 2.5 (which is the tax). We just add that to the cost of the shirt and we get the final cost of $27.5.
