2. Given the equation of a circle, (x - 5)2 + (y + 3)2 = 196, state the coordinates of the center and
the radius.
Center
,
); radius:

centered at (5,-3)

radius of 14 units

Step-by-step explanation:

A linear transformation will be the opposite of what contained in the parentheses( (x-5)^2 will be a regular line x but +5 units along the axis.

Therefore the variables contained in the parentheses will then correspond to the transformation, so it will be shifted +5 units along the x and -3 units along the y.

The radius is simply the answer square rooted which is 14 units in this case.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

the monthly balance will be $75,000