Answer:
<u>x² + y² + 2y - 1 = 0</u>
Step-by-step explanation:
The general form of the equation for the circle:
x² + y² + ax + by + c = 0
Where: a, b and c are constants.
For the given equation:
x² + (y + 1)² = 2
∴ x² + (y + 1) (y+1) = 2
∴ x² + y² + 2y + 1 = 2 ⇒ subtract 2 from both sides
∴ x² + y² + 2y + 1 - 2 = 2 - 2
∴ x² + y² + 2y - 1 = 0
So, the general form of the equation for the circle:
<u>x² + y² + 2y - 1 = 0</u>
D. 8 ml per second is the answer
Answer:
No, Liam is wrong
Step-by-step explanation:
Amount invested by Florence = £200
Formula for compound interest = P * (1 + R / 100)^Time period
P = £200
R = 5%
Time period = 2
£200 * (1 + 5/100) ^ 2
=> £200 * 1.05^2
=>£200 * 1.1025
=> £220.5
So the interest = 220.5 - 220 = 20.5
20.5 ≠ 20
Therefore, Liam is wrong.
Hope it helps :)
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Answer:
$2.83
Step-by-step explanation:
Diameter of the pool = 24ft
Cost of 1 ft² = $0.15
Area of the pool=?
But the pool is a circular pool,
Area of a circle = Πr² or πd²/4
π = 3.142
Area of the pool = (π * 24) / 4
Area = (3.142 * 24) / 4
Area = 18.85ft²
If 1ft² = $0.15
18.85 = $x
x = (18.85 * 0.15) / 1
x = $2.8275 = $2.83
The cost of the pool is $2.83