The given equation is a wave function. When plotted, the graph is shown in the attached picture. However, the unit is in degrees instead of radians. A unit of π is equivalent to 180°. This plot could determine one variable if the other is given.
Step-by-step explanation:
angles on a straight line
Answer:
centre (5, 6 ) , r = ![\sqrt{37}](https://tex.z-dn.net/?f=%5Csqrt%7B37%7D)
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
given
x² + y² - 10x - 12y + 24 = 0 ( collect x and y terms together and subtract 24 from both sides )
x² - 10x + y² - 12y = - 24
using the method of completing the square
add ( half the coefficient of the x / y terms)² to both sides
x² + 2(- 5)x + 25 + y² + 2(- 6)y + 36 = - 24 + 25 + 36
(x - 5)² + (y - 6)² = 37 ← in standard form
with centre (h, k ) = (5, 6 ) and r = ![\sqrt{37}](https://tex.z-dn.net/?f=%5Csqrt%7B37%7D)
Total number of cans = N
number of weeks = w
The multiplier is 6.
Therefore the expression must be:
N = 6w