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

Mexico city, mexico, is the world's second largest metropolis and is also one of its fastest-growing cities with a projected growth rate of 3.2% per year. its population in 1991 was 20,899,000 people. use the formula p = 20.899e0.032t to predict its population p in millions with t equal to the number of years after 1991. what is the predicted population to the nearest thousand of mexico city for the year 2010?

F(x) = x2 − 9, and g(x) = x − 3 f(x) = x2 − 4x + 3, and g(x) = x − 3 f(x) = x2 + 4x − 5, and g(x) = x − 1 f(x) = x2 − 16, and g(x) = x − 4 h(x) = x + 5 arrowright h(x) = x + 3 arrowright h(x) = x + 4 arrowright h(x) = x − 1 arrowright

Abc will undergo two transformations to give aa'b'c' which pair of transformations will give a different image of aabc if the order of the transformations is reversed? a. a rotation 90' counterclockwise about the origin followed by a reflection across the y-axis b a translation 5 units down followed by a translation 4 units to the right c. a reflection across the x-axis followed by a reflection across the y-axis a rotation 180'clockwise about the ongin followed by a reflection across the y-axis reset next 2 omentum all rights reserved o atk me anything o o e