Hello from MrBillDoesMath!
Answer:
x = 1/2 (1 +\- i sqrt(23))
Discussion:
x \3x - 2 = (x/3)*x - 2 = (x^2)/3 - 2 (*)
1 \3x - 4 = (1/3)x - 4 (**)
(*) = (**) =>
(x^2)/3 -2 = (1/3)x - 4 => multiply both sides by 3
x^2 - 6 = x - 12 => subtract x from both sides
x^2 -x -6 = -12 => add 12 to both sides
x^2-x +6 = 0
Using the quadratic formula gives:
x = 1/2 (1 +\- i sqrt(23))
Thank you,
MrB
w - width
6w - length
486 in² - area of the rectangle
(w)(6w) = 6w² - area of the rectangle
The equation:
6w² = 486 <em>divide both sides by 6</em>
w² = 81 → w = √81
w = 9 in
l = 6w → l = (6)(9) → l = 54 in
The perimeter: P = 2l + 2w
P = 2(54) + 2(9) = 108 + 18 = 126 in
<h3>Answer: The perimeter is 126in</h3>
Answer:
128 cubes can fit in.
Step-by-step explanation:
We are given: Volume of rectangular prism = 2 units³ and Cube with edge = 1/4 unit
We must find: The number of cubes that can fill the prism
Firstly, find the volume of 1 cube:
Volume = 1/4 x 1/4 x 1/4
Volume = 1/64 units³
Next find the number of cubes that can go into the prism:
Number of cubes = 2 ÷ 1/64
Number of cubes = 128
Therefore 128 cubes can fit in.
well it would be very helpful thank you
