We need to solve the equation: w² + 36 = 12w
⇒ w² - 12w + 36 = 0
⇒ w² - 6w - 6w + 36 = 0 (Breaking 6w such that their product is 9w²)
⇒ w × (w - 6) - 6 × (w - 6) = 0 (Extracting common factors)
⇒ (w - 6) × (w - 6) = 0
⇒ (w - 6)² = 0
⇒ w = 6
Hence, the correct answer is 6 which is the fourth option from the replacement set
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Answer:
Q'(-6, 9), R'(-9, 3), T'(6, -3), W'(6, 12)
Step-by-step explanation:
Each of the individual coordinate values is multiplied by 3.
(x, y) ⇒ (3x, 3y)
__
Q(-2, 3) ⇒ Q'(-6, 9)
R(-3, 1) ⇒ R'(-9, 3)
T(2, -1) ⇒ T'(6, -3)
W(2, 4) ⇒ W'(6, 12)
Answer:
Step-by-step explanation:
no of days no of men
30 20
24 20
30/24=x/20
24 x=30*20
24x=600
x=600/24
x=25
therefore 5 more men are needed to complete the work in 24 days