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)
Step-by-step explanation:
y + 4 = -2x + 2
2x + y = -2
2x = -2 - y
x = -2 -y/2
Answer:
option D
Step-by-step explanation:
f(x) = 7x- 3
g(x) = x2 - 4x- 8
we have
(f+g)(x)= 7x- 3 +x2 - 4x- 8
(f+g)(x)= x2+ 3x- 11
Answer:
= 4.875 × 108
(scientific notation)
= 4.875e8
(scientific e notation)
= 487.5 × 106
(engineering notation)
(million; prefix mega- (M))
= 487500000
(real number)
Step-by-step explanation:
