Write the equation of the circle in standard form x2 + y2 + 6x – 18y + 74 = 0
Move the constant to the right side and group like terms on the left side.
x2 + y2 + 6x - 18y + 74 = 0
(x2 + 6x) + (y2 - 18y) = -74
Set the equation up to complete the square.
(x2 + 6x +___) + (y2 - 18y +___)
= -74 + __+__
Add (b/2)2 to complete the square for x. Add (b/2)2 to complete the square for y.
(x2 + 6x +) + (y2 - 18y + ___)=-74 + +
Simplify (x2 + 6 + __) + (y2 - 18y + ---) = 16. Factor ___2 + ___2)= 16

Ateacher has $80 to buy workbooks. each work book cost $3. if she buys as many workbooks as possible, how much money does she have leftover? a) $2 b) $4 c) $6 d) $8

Δabc is reflected across line l to form δ alblcl, and a¯¯¯al¯¯¯¯ intersects line l at point d. which equation is not necessarily true?

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d.what is the height of the tide after 93 hours?