The center of a circle is at a(-3,5) and has a radius of 5. name two points on the circle

The two points on the circle are  (-3,0) and (0,1).

Step-by-step explanation:

Given : The center of a circle is at A(-3,5) and has a radius of 5.

To find : Name two points on the circle?

Solution :

The general equation of the circle is

where, (h,k) are the center of the circle

(x,y) are the points on the circle

r is the radius of the circle.

We have given, A(-3,5)=(h,k) is the center

and r=5

Substitute in the equation,

Plotting this equation on the graph.

There are many the points on the circle few are (-3,0) and (0,1).

Refer the attached figure below.

Therefore, The two points on the circle are  (-3,0) and (0,1).

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: