Solve by elimination: 3x + 4y = 0 5x-3y = -58 (6, -8) B (-6, -8) C (-8, 6)
1 answer:
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Answer:
314 ft²
Step-by-step explanation:
Data provided in the question:
Depth (height) of the pool = of its radius
let the radius be 'r' ft
thus,
Depth (height) of the pool, h = ft
Volume of the pool = 1570 ft³
also,
Volume of cylinder = πr²h
thus,
1570 ft³ = πr²h
or
1570 ft³ =
or
3140 = 3.14 × r³ [ π = 3.14 ]
or
r³ = 1000 ft³
or
r = 10 ft
Thus,
Area of the bottom surface = πr²
= 3.14 × 10²
= 314 ft²
Answer:
(3x + 1)²
Step-by-step explanation:
Given
9x² + 6x + 1 ← is a perfect square of the form
(ax + b)² = a²x² + 2abx + b²
Compare like terms to find a and b
a²x² = 9x² ⇒ a² = 9 ⇒ a = = 3
b² = 1 ⇒ b = = 1
and 2ab = 2 × 3 × 1 = 6
Thus
9x² + 6x + 1 = (3x + 1)²