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:
I think the F could mean force like F = ma (mass acceleration)
Step-by-step explanation:
Answer:
y - Q = -5/2(x - P)
Step-by-step explanation:
The equation of a line in point slope form is expressed as y - y0 = m(x-x0)
(x0, y0) is the point
m is the slope
Given the equation
y = 2/5x− 4.
Slope m = 2/5
Slope of the perpendicular line = -1/(2/5) = -5/2
Point;
x0 = P
y0 = Q
Substitute into the formula;
y - y0 = m(x-x0)
y - Q = -5/2(x - P)
This gives the required equation
Answer:
Step-by-step explanation:
Volume of cylinder formula:
<h3>Given</h3>
Find r by substituting given values:
- 64π = πr²*4
- 64π = 4r²π
- 16 = r²
- r = √16
- r = 4 m
Correct choice is A.
