the equation of a circle is x2+4x+y2−10y+13=0 .
what is the equation of the circle in standard form?
(x+4)2+(y−25)2=25
(x+4)2+(y−25)2=16
(x+2)2+(y−5)2=16
(x+2)2+(y−5)2=25

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:

answer: ♡♡♡♡♡♡♡♡♡♡

step-by-step explanation: