D = sqrt(3s^2) where s is the length of the side. Solving for s,
<span>3s^2 = d^2 iff </span>
<span>s^2 = d^2 / 3 iff </span>
<span>s = sqrt(d^2 / 3) </span>
<span>= d / sqrt(3) or d sqrt(3) / 3 </span>
<span>Surface area of the cube = 6 s^2. Thus, </span>
<span>A = 6 (d / sqrt(3))^2 </span>
<span>= 6d^2 / 3 </span>
<span>= 2d^2 </span>
<span>Volume = s^3. Thus, </span>
<span>V = (d / sqrt(3))^3 </span>
<span>= d^3 / 3sqrt(3) </span>
<span>= d^3 sqrt(3) / 9</span>
Your answer would most likely be C. 2^1/3 i'm sorry if I got it wrong
Simplify the ration expression

start by seeing if anything in the numerator or denominator can be factored,
you should notice that you can factor out a 3 from 3x-6 in the numerator
when you do so, the result is

now, since there is an x-2 in the numerator and denominator, they "cancel" out since

however, only when

since

when you cancel out the x-2, you're left with 3
hence, your answer is C
Answer:
d
Step-by-step explanation:
100x² - 1 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
100x² - 1
= (10x)² - 1²
= (10x - 1)(10x + 1) → d