In the standard equation for a circle centered at any point, a change in the value of the number that is part of the x-term results in a vertical movement ? true or false?

It is False as Changing value of x coordinate  results in horizontal movement not in vertical moment.

Step-by-step explanation:

Standard form of circle is given by,

where, ( h, k ) = Coordinates of circle and r is radius of circle.

here h is part of x- term.

So, if change value of h to p keeping k and r constant. The coordinate of center shifted in horizontal line whose equation is y = k.

Therefor, It is False as Changing value of x coordinate  results in horizontal movement not in vertical moment.

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.