tan(x) = 2sqrt6
y = 2sqrt(6) and x = 1
So
r = sqrt [ (2sqrt (6) )^2 + 1^2 ] = sqrt [ 24 + 1] = sqrt (25) = 5
sin (x) = y / r = 2sqrt(6) / 5 = sqrt (24) / 5
cos (x) = x / r = 1 / 5
(y+2)^2=12(x−5)
The vertex is ( 5, -2) and the parabola opens to the right
And 4p = 12 → p = 3
So....the equation of the directrix is x = 2
$ 6.30 * 1.5 = $9.45 for each hour of overtime
Example
6 3/4 + 5
Express 6 3/4 as 27/4
And 5 = 20/4
27/4 + 20/4 =
47/4 =
11 3/4
500,000 = 5 x 105
4.) Circle 1 is a translation of four units left and five units down from circle 2 and a dilation of circle 2 with a scale factor of 5 : 3.
JN⋅LN=KN⋅MN [ N is the intersecting point of both chords ]
We can use the arctangent here
arctan ( 34/42) = A ≈ 37° (rounded)
Arc length = r θ where r is the radius and θ is in radians
42 * 43* 3.14 ≈ 5670.84 cm
sin (x) cos (x) = 0
Either sin (x) = 0 and this happens at n (180°) where n is an integer ....or....
cos (x) = 0 and this happens at 90° + n(180°) where n is an integer