First, since all of the terms are multiplied, you can cancel them out to simplify them:
18/9 = 2
When a term has exponents on the top and bottom of a fraction, you subtract the bottom from the top:
c^8/c^3 = c^5
d^9/d^6 = d^3
So now, we can get rid of the fraction bar and put all of these terms into one expression:
2(c^5)(d^3)
x+2 (x+2) + 8
------- = ---------------
14 14+9
solve by using cross products
(x+2) * (14+9) = 14*(x+2+8)
(x+2)*23 = 14*(x+10)
distribute
23x+46 = 14x+140
subtract 14x from each side
9x+46 = 140
subtract 46 from each side
9x =94
x = 94/4
x = 10 4/9 cm
Answer: first choice 14.142 ft
Explanation:
1) Side length of the square: x
2) Use the Pythagorean theorem to relate the side lenght with the diagonal:
diagonal² = x² + x² = 2x²
3) Clear x:
x² = diagonal² / 2
⇒x = √(diagonal² / 2) = diagonal /√2 = diagonal √2 / 2
4) subsitute diagonal = 5 ft
⇒ x = 5 ft √2 / 2 ≈ 3.536 ft
5) The perimeter of the square is 4 times the side length:
Perimeter = 4 × 3.536 ft = 14.142 ft
