The equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Based on the calculations, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5²
The equation of a circle.
Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center.
r is the radius of a circle.
The midpoint of the given points represents the center of this circle:
h = (4 + 4)/2 = 4
k = (5.5 + 10.5)/2 = 8
Next, we would determine the radius by using the distance formula for coordinates:
r = √[(x₂ - x₁)² + (y₂ - y₁)²]
r = √[(4 - 4)² + (10.5 - 5.5)²]
r = √[0² + 5²]
r = √25
r = 5 units.
Therefore, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
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By the quadratic formula,

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Multiply numerator and denominator by the denominator's conjugate:

Answer: She has a $-7.50 balance
Step-by-step explanation: A = 3*12.5
A= 37.5
37.5-30= -7.5
When Javier writes 40 on both accounts they cost him the same amount of money so it should be 41.
Javier needs to write 41 checks for the second bank to beat better
Do $27.58 x .06 (for the sales tax) which equals in total $1.65.
Then do $27.58 x .18 (for the tip) which equals $4.96 in total.
Later add the tip and tax together which you get $6.61,add that to $27.58 and you'll get $34.19 total adding the tax and tip