I’m pretty sure that your answer would be A: V = One-Third (6) (4) (8)
Hope this helps!!!
You're aware that
... (x +a)(x +b) = x² +(a+b)x + ab
so
... (x +a)² = x² +2ax + a²
With this in mind, you notice that 25 is the square of a prime, so that is your first clue that the trinomial is a square. The last bit of information you need for that conclusion is that the coefficient of x satisfies
... 10 = 2√25 = 2·5
Now, you know ...
... x² + 10x + 25 = (x +5)² = (x +5)(x +5)
The two binomials are both (x+5).
Answer:
u = 3/4
Step-by-step explanation:
Solve for u:
-5 (6 - 4 u) - 6 u = 6 (u - 3) - 6
-5 (6 - 4 u) = 20 u - 30:
20 u - 30 - 6 u = 6 (u - 3) - 6
Grouping like terms, 20 u - 6 u - 30 = (20 u - 6 u) - 30:
(20 u - 6 u) - 30 = 6 (u - 3) - 6
20 u - 6 u = 14 u:
14 u - 30 = 6 (u - 3) - 6
6 (u - 3) = 6 u - 18:
14 u - 30 = 6 u - 18 - 6
Grouping like terms, 6 u - 18 - 6 = 6 u + (-18 - 6):
14 u - 30 = 6 u + (-18 - 6)
-18 - 6 = -24:
14 u - 30 = 6 u + -24
Subtract 6 u from both sides:
(14 u - 6 u) - 30 = (6 u - 6 u) - 24
14 u - 6 u = 8 u:
8 u - 30 = (6 u - 6 u) - 24
6 u - 6 u = 0:
8 u - 30 = -24
Add 30 to both sides:
8 u + (30 - 30) = 30 - 24
30 - 30 = 0:
8 u = 30 - 24
30 - 24 = 6:
8 u = 6
Divide both sides of 8 u = 6 by 8:
(8 u)/8 = 6/8
8/8 = 1:
u = 6/8
The gcd of 6 and 8 is 2, so 6/8 = (2×3)/(2×4) = 2/2×3/4 = 3/4:
Answer: u = 3/4