The answer:
the main formula of the circle's equation is
(x-a)²+ (y-b)² = R²
where C(a, b) is the center of the circle
R is the radius
if a point A(x', y') passes through the circle, so the equation of the circle can be written as
(x'-a)²+ (y'-b)² = R², and that is a main formula.
<span>Circle O, with center (x, y), passes through the points A(0, 0), B(–3, 0), and C(1, 2), so we have exactly three equation:
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(0-x)² + (0-y)² = R², circle O passes through A
x²+y²= R²
(-3 -x)² + (0-y)² = R², circle O passes through B
(-3 -x)² + (y)² = R²
(1-x)² + (2-y)² = R², circle O passes through A
(1-x)² + (2-y)² = R²
and we know that R= OA = OC= OB,
OA=R= sqrt( (0-x)² + (0-y)² ) = OB = sqrt((-3 -x)² + (0-y)²), this implies
x²+y² = (-3 -x)² + (0-y)² , it implies x² = 9+ x² + 6x , and then -9/6=x, x= -3/2
and when OA = OC
x²+y² =(1-x)² + (2-y)² so, x²+y² =1+x²-2x +4+y²-4y, therefore -5= -2x -4y
-5= -2x -4y, when x = -3 /2 we obtain y = 2
the center is C(-3/2, 2)
Answer:
The Associative property does not hold for the division of whole numbers.
Step-by-step explanation:
If ‘a’, ‘b’, and ‘c’ are the three whole numbers then, a ÷ (b ÷ c) ≠ (a ÷ b) ÷ c ⇒ 100 ÷ (25 ÷ 5) = 20 ≠ (100 ÷ 25) ÷ 5 = 4 ÷ 5. Easy Way to Remember the Properties of Whole Numbers
D is the right answer, using the vertical line test
I believe you can use ratios and multiply both of them like fractions to get the same amount of bottles and compare the prices fairly.
2:8 = 2/8
1.5:3 = 1.5/3
(2/8)3 = 6/24 or $6 per 24 bottles
(1.5/3)8 = 12/24 or $12 per 24 bottles
In conclusion, the latter ($1.50 for 3) costs more than the $2 per 8.
