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)
The slope is 0
Hope that works for you
Yes . I’m cool . Your cool. ;-;
Answer:
x=66
Step-by-step explanation:
180-114=66
Function represents a relationship between variables. The product of the two given functions (k·p)(x) is 2x³-8x²-7x+28.
<h3>What is Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Given to us
k(x) = 2x² − 7
p(x) = x − 4
As the two equations are given to us, k(x) and p(x), and we need to find (k ∘ p)(x), And we know the product of two functions can be written as,
therefore,
Hence, the product of the two given functions (k·p)(x) is 2x³-8x²-7x+28.
Learn more about Function:
brainly.com/question/5245372?referrer=searchResults
