Which equation represents all points in a plane 5 units from point (3, 2)?

(x - 3)^2 + (y - 2)^2 = 5^2

Step-by-step explanation:

This is a circle of radius 5 centered in the point (3,2)

We can write a circle as:

(x - a)^2 + (y - b)^2 = r^2

where the point (a, b) is the center and r is the radius, so our circle is:

(x - 3)^2 + (y - 2)^2 = 5^2

definition: a circle is the  set of all points in a plane that are equidistant  from a given  point  called the center of the circle. we use the symbol ⊙ to represent a circle. the a line segment from the center of the circle to  any point  on the circle is a radius of the circle.

step-by-step explanation:

i googled it and this is what i got i don't know how it is. sorry.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is