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

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.