Answer:
55/72
Step-by-step explanation:
5/6 of 11/12
= 5/6 x 11/12
=55/72
-|-10|-(-10)
A negative outside of the “ | “ means that one number inside will be negative . -10-(-10)
An imaginary | will “appear” in between the two negative signs or it will turn into an addition sign.
-10+10
A positive subtracts negatives from the negative number. The answer is 0
I hope this helped.
Answer:
x = 6.6
Step-by-step explanation:
law of cosines:
x² = b² + c² - 2ac · cosX
x² = 5² + 8² - 2(5 · 8) · cos 55°
x² = 25 + 64 - 80· cos 55°
x² = 25 + 64 - 45.89
x² = 89 - 45.89
x² = 43.11
x = √43.11
x ≈ 6.6
Answer: The solution is k = -171.92.
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:
</span>
(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)
