Question

What is the solution of (4 x minus 16) Superscript one-half Baseline = 36? x = 5 x = 13 x = 20 x = 328 If the volume of the rectangular prism is represented by 6x2 – 2x + 8 and the base area is 2x – 4, which expression represents the height? 3x + 5 – 3x – 7 + 3x + 5 + 3x – 7 –

Answer 1

x = 328

Explanation:

there fore the answer is D

Answer 2

Question 1: x = 328

Question 2: height, h = (3x + 5) remainder 28

Explanation:

Question 1

`(4x-16)^{(1)/(2)} = 36`

Take the square of both sides

`((4x-16)^{ (1)/(2) } )^(2) = 36^(2) \\\\4x-16=1296; 4x = 1296 + 16\\\\4x = 1312\\\\(4x)/(4)= (1312)/(4)\\ \\x = 328`

Question 2

`Volume, V = 6x^(2) -2x+8\\Base area, B = 2x - 4`

Volume = Base Area × Height

V = B × h

Divide both sides by B

h = V/B

`h = (6x^(2)-2x+8)/(2x-4)`

We need to use long division.

Please check the attached image for the complete solution.